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Finance and Economics Discussion Series: 2008-22 Screen Reader version

The Two-Period Rational Inattention Model:
Accelerations and Analyses


Kurt F. Lewis
Board of Governors of the Federal Reserve System, Washington, DC 20551, USA



Figure 1: A One-to-One Mapping via the Joint Distribution f(c,w)
ConsumptionWealth:
0.02
Wealth:
0.07
Wealth:
0.13
Wealth:
0.18
Wealth:
0.24
Wealth:
0.29
Wealth:
0.35
Wealth:
0.40
Wealth:
0.46
Wealth:
0.51
Wealth:
0.56
Wealth:
0.62
Wealth:
0.67
Wealth:
0.73
Wealth:
0.78
Wealth:
0.84
Wealth:
0.89
Wealth:
0.95
Wealth:
1.00
0.012.06E-036.07E-143.09E-142.18E-141.73E-141.46E-141.27E-141.14E-141.04E-149.57E-158.91E-158.36E-157.89E-157.49E-157.14E-156.83E-156.55E-156.30E-156.08E-15
0.0407.68E-031.61E-136.40E-143.97E-142.92E-142.33E-141.95E-141.69E-141.50E-141.35E-141.24E-141.14E-141.06E-149.97E-159.40E-158.90E-158.47E-158.09E-15
0.0606.07E-141.33E-022.83E-1310.00E-145.82E-144.08E-143.15E-142.58E-142.19E-141.91E-141.70E-141.54E-141.41E-141.30E-141.21E-141.13E-141.06E-141.01E-14
0.09001.61E-131.89E-024.22E-131.40E-137.79E-145.30E-144.00E-143.21E-142.69E-142.32E-142.04E-141.83E-141.66E-141.52E-141.41E-141.31E-141.23E-14
0.12003.09E-142.83E-132.45E-025.79E-131.83E-139.89E-146.58E-144.88E-143.87E-143.20E-142.73E-142.39E-142.12E-141.91E-141.74E-141.60E-141.48E-14
0.150006.40E-144.22E-133.02E-027.50E-132.30E-131.21E-137.93E-145.80E-144.54E-143.72E-143.15E-142.74E-142.42E-142.17E-141.96E-141.80E-14
0.170002.18E-1410.00E-145.79E-133.58E-029.36E-132.80E-131.45E-139.35E-146.76E-145.24E-144.26E-143.59E-143.09E-142.72E-142.42E-142.19E-14
0.2000003.97E-141.40E-137.50E-134.14E-021.13E-123.32E-131.70E-131.08E-137.75E-145.97E-144.82E-144.03E-143.46E-143.02E-142.69E-14
0.2300001.73E-145.82E-141.83E-139.36E-134.70E-021.34E-123.88E-131.96E-131.24E-138.78E-146.72E-145.39E-144.48E-143.83E-143.34E-14
0.26000002.92E-147.79E-142.30E-131.13E-125.26E-021.57E-124.47E-132.23E-131.40E-139.85E-147.49E-145.98E-144.95E-144.21E-14
0.28000001.46E-144.08E-149.89E-142.80E-131.34E-125.83E-021.80E-125.07E-132.51E-131.56E-131.10E-138.28E-146.59E-145.43E-14
0.310000002.33E-145.30E-141.21E-133.32E-131.57E-126.39E-022.04E-125.71E-132.81E-131.73E-131.21E-139.10E-147.21E-14
0.340000001.27E-143.15E-146.58E-141.45E-133.88E-131.80E-126.95E-022.30E-126.37E-133.11E-131.91E-131.33E-139.94E-14
0.3600000001.95E-144.00E-147.93E-141.70E-134.47E-132.04E-127.51E-022.56E-127.05E-133.43E-132.09E-131.45E-13
0.3900000001.14E-142.58E-144.88E-149.35E-141.96E-135.07E-132.30E-128.07E-022.83E-127.75E-133.75E-132.28E-13
0.42000000001.69E-143.21E-145.80E-141.08E-132.23E-135.71E-132.56E-128.63E-023.11E-128.48E-134.08E-13
0.45000000001.04E-142.19E-143.87E-146.76E-141.24E-132.51E-136.37E-132.83E-129.20E-023.40E-129.23E-13
0.470000000001.50E-142.69E-144.54E-147.75E-141.40E-132.81E-137.05E-133.11E-129.76E-023.70E-12
0.500000000009.57E-151.91E-143.20E-145.24E-148.78E-141.56E-133.11E-137.75E-133.40E-121.03E-01
Return to Figure 1


Figure 2 (Top Left Panel): Comparison of Different Levels of Information-Processing Capacity
ConsumptionWealth:
0.02
Wealth:
0.05
Wealth:
0.09
Wealth:
0.12
Wealth:
0.16
Wealth:
0.19
Wealth:
0.22
Wealth:
0.26
Wealth:
0.29
Wealth:
0.32
Wealth:
0.36
Wealth:
0.39
Wealth:
0.43
Wealth:
0.46
Wealth:
0.49
Wealth:
0.53
Wealth:
0.56
Wealth:
0.59
Wealth:
0.63
Wealth:
0.66
Wealth:
0.70
Wealth:
0.73
Wealth:
0.76
Wealth:
0.80
Wealth:
0.83
Wealth:
0.86
Wealth:
0.90
Wealth:
0.93
Wealth:
0.97
Wealth:
1.00
0.011.31E-031.06E-164.95E-173.36E-172.60E-172.16E-171.86E-171.65E-171.49E-171.37E-171.27E-171.18E-171.11E-171.05E-1710.00E-189.54E-189.13E-188.77E-188.44E-188.14E-187.87E-187.62E-187.40E-187.19E-186.99E-186.81E-186.65E-186.49E-186.34E-186.20E-18
0.0303.52E-032.42E-169.29E-175.67E-174.11E-173.25E-172.71E-172.34E-172.06E-171.86E-171.69E-171.56E-171.45E-171.35E-171.27E-171.20E-171.14E-171.09E-171.04E-171.00E-179.63E-189.28E-188.96E-188.67E-188.40E-188.15E-187.92E-187.71E-187.51E-18
0.0401.06E-165.72E-034.05E-161.41E-168.09E-175.63E-174.32E-173.52E-172.98E-172.59E-172.30E-172.08E-171.89E-171.74E-171.62E-171.51E-171.42E-171.35E-171.28E-171.22E-171.16E-171.11E-171.07E-171.03E-179.91E-189.58E-189.27E-188.98E-188.72E-18
0.06002.42E-167.93E-035.91E-161.93E-161.07E-167.23E-175.43E-174.35E-173.63E-173.12E-172.74E-172.45E-172.22E-172.03E-171.88E-171.75E-171.63E-171.54E-171.45E-171.38E-171.31E-171.25E-171.20E-171.15E-171.11E-171.07E-171.03E-179.97E-18
0.08004.95E-174.05E-161.01E-027.98E-162.50E-161.34E-168.91E-176.58E-175.20E-174.30E-173.66E-173.19E-172.83E-172.55E-172.32E-172.13E-171.97E-171.84E-171.72E-171.62E-171.54E-171.46E-171.39E-171.33E-171.27E-171.22E-171.17E-171.13E-17
0.090009.29E-175.91E-161.24E-021.02E-153.12E-161.64E-161.07E-167.79E-176.08E-174.98E-174.21E-173.64E-173.22E-172.88E-172.61E-172.39E-172.20E-172.04E-171.91E-171.79E-171.69E-171.60E-171.52E-171.45E-171.39E-171.33E-171.28E-17
0.110003.36E-171.41E-167.98E-161.46E-021.27E-153.77E-161.95E-161.25E-169.04E-177.00E-175.68E-174.77E-174.11E-173.61E-173.21E-172.90E-172.64E-172.43E-172.25E-172.10E-171.96E-171.85E-171.75E-171.66E-171.57E-171.50E-171.44E-17
0.1300005.67E-171.93E-161.02E-151.68E-021.53E-154.46E-162.27E-161.45E-161.03E-167.94E-176.41E-175.35E-174.58E-174.00E-173.56E-173.20E-172.90E-172.66E-172.46E-172.28E-172.13E-172.00E-171.89E-171.79E-171.70E-171.62E-17
0.1500002.60E-178.09E-172.50E-161.27E-151.90E-021.80E-155.19E-162.62E-161.65E-161.17E-168.92E-177.15E-175.94E-175.07E-174.41E-173.90E-173.50E-173.17E-172.90E-172.67E-172.47E-172.31E-172.16E-172.03E-171.92E-171.82E-17
0.16000004.11E-171.07E-163.12E-161.53E-152.12E-022.09E-155.96E-162.97E-161.86E-161.31E-169.92E-177.92E-176.55E-175.56E-174.83E-174.26E-173.80E-173.44E-173.13E-172.88E-172.67E-172.48E-172.32E-172.18E-172.06E-17
0.18000002.16E-175.63E-171.34E-163.77E-161.80E-152.34E-022.40E-156.75E-163.34E-162.07E-161.45E-161.10E-168.70E-177.17E-176.07E-175.25E-174.62E-174.12E-173.71E-173.38E-173.10E-172.86E-172.66E-172.48E-172.33E-17
0.200000003.25E-177.23E-171.64E-164.46E-162.09E-152.56E-022.72E-157.58E-163.72E-162.30E-161.60E-161.20E-169.51E-177.81E-176.59E-175.68E-174.98E-174.43E-173.99E-173.62E-173.31E-173.06E-172.83E-172.64E-17
0.210000001.86E-174.32E-178.91E-171.95E-165.19E-162.40E-152.78E-023.05E-158.44E-164.12E-162.53E-161.75E-161.31E-161.03E-168.46E-177.12E-176.12E-175.36E-174.75E-174.27E-173.87E-173.54E-173.25E-173.01E-17
0.2300000002.71E-175.43E-171.07E-162.27E-165.96E-162.72E-153.00E-023.39E-159.33E-164.53E-162.76E-161.91E-161.42E-161.12E-169.13E-177.66E-176.57E-175.74E-175.08E-174.55E-174.12E-173.76E-173.46E-17
0.2500000001.65E-173.52E-176.58E-171.25E-162.62E-166.75E-163.05E-153.22E-023.75E-151.02E-154.95E-163.01E-162.07E-161.54E-161.21E-169.81E-178.22E-177.03E-176.13E-175.42E-174.84E-174.38E-173.99E-17
0.26000000002.34E-174.35E-177.79E-171.45E-162.97E-167.58E-163.39E-153.44E-024.11E-151.12E-155.38E-163.26E-162.24E-161.66E-161.29E-161.05E-168.78E-177.50E-176.52E-175.75E-175.14E-174.64E-17
0.28000000001.49E-172.98E-175.20E-179.04E-171.65E-163.34E-168.44E-163.75E-153.66E-024.49E-151.22E-155.83E-163.52E-162.40E-161.78E-161.39E-161.12E-169.35E-177.97E-176.92E-176.10E-175.44E-17
0.300000000002.06E-173.63E-176.08E-171.03E-161.86E-163.72E-169.33E-164.11E-153.89E-024.88E-151.32E-156.28E-163.78E-162.58E-161.90E-161.48E-161.19E-169.94E-178.46E-177.33E-176.45E-17
0.310000000001.37E-172.59E-174.30E-177.00E-171.17E-162.07E-164.12E-161.02E-154.49E-154.11E-025.28E-151.42E-156.75E-164.05E-162.75E-162.03E-161.57E-161.27E-161.05E-168.95E-177.75E-17
0.3300000000001.86E-173.12E-174.98E-177.94E-171.31E-162.30E-164.53E-161.12E-154.88E-154.33E-025.69E-151.52E-157.23E-164.32E-162.93E-162.15E-161.67E-161.34E-161.11E-169.45E-17
0.3500000000001.27E-172.30E-173.66E-175.68E-178.92E-171.45E-162.53E-164.95E-161.22E-155.28E-154.55E-026.11E-151.63E-157.72E-164.61E-163.12E-162.28E-161.77E-161.42E-161.18E-16
0.36000000000001.69E-172.74E-174.21E-176.41E-179.92E-171.60E-162.76E-165.38E-161.32E-155.69E-154.77E-026.54E-151.74E-158.22E-164.89E-163.31E-162.42E-161.87E-161.50E-16
0.38000000000001.18E-172.08E-173.19E-174.77E-177.15E-171.10E-161.75E-163.01E-165.83E-161.42E-156.11E-154.99E-026.98E-151.85E-158.73E-165.19E-163.50E-162.55E-161.97E-16
0.400000000000001.56E-172.45E-173.64E-175.35E-177.92E-171.20E-161.91E-163.26E-166.28E-161.52E-156.54E-155.21E-027.43E-151.97E-159.25E-165.48E-163.69E-162.69E-16
0.420000000000001.11E-171.89E-172.83E-174.11E-175.94E-178.70E-171.31E-162.07E-163.52E-166.75E-161.63E-156.98E-155.43E-027.88E-152.09E-159.78E-165.79E-163.89E-16
0.4300000000000001.45E-172.22E-173.22E-174.58E-176.55E-179.51E-171.42E-162.24E-163.78E-167.23E-161.74E-157.43E-155.65E-028.35E-152.20E-151.03E-156.10E-16
0.4500000000000001.05E-171.74E-172.55E-173.61E-175.07E-177.17E-171.03E-161.54E-162.40E-164.05E-167.72E-161.85E-157.88E-155.87E-028.83E-152.33E-151.09E-15
0.47000000000000001.35E-172.03E-172.88E-174.00E-175.56E-177.81E-171.12E-161.66E-162.58E-164.32E-168.22E-161.97E-158.35E-156.09E-029.31E-152.45E-15
0.480000000000000010.00E-181.62E-172.32E-173.21E-174.41E-176.07E-178.46E-171.21E-161.78E-162.75E-164.61E-168.73E-162.09E-158.83E-156.32E-029.81E-15
0.500000000000000001.27E-171.88E-172.61E-173.56E-174.83E-176.59E-179.13E-171.29E-161.90E-162.93E-164.89E-169.25E-162.20E-159.31E-156.54E-02
Return to Figure 2


Figure 2 (Top Right Panel): Comparison of Different Levels of Information-Processing Capacity
ConsumptionWealth:
0.02
Wealth:
0.05
Wealth:
0.09
Wealth:
0.12
Wealth:
0.16
Wealth:
0.19
Wealth:
0.22
Wealth:
0.26
Wealth:
0.29
Wealth:
0.32
Wealth:
0.36
Wealth:
0.39
Wealth:
0.43
Wealth:
0.46
Wealth:
0.49
Wealth:
0.53
Wealth:
0.56
Wealth:
0.59
Wealth:
0.63
Wealth:
0.66
Wealth:
0.70
Wealth:
0.73
Wealth:
0.76
Wealth:
0.80
Wealth:
0.83
Wealth:
0.86
Wealth:
0.90
Wealth:
0.93
Wealth:
0.97
Wealth:
1.00
0.011.31E-035.06E-154.54E-164.12E-163.80E-163.53E-163.30E-163.10E-162.92E-162.76E-162.62E-162.49E-162.38E-162.27E-162.17E-162.09E-162.00E-161.93E-161.86E-161.80E-161.74E-161.68E-161.63E-161.58E-161.54E-161.50E-161.46E-161.42E-161.39E-161.36E-16
0.0303.52E-035.54E-092.64E-154.71E-164.36E-164.09E-163.87E-163.66E-163.47E-163.30E-163.15E-163.00E-162.87E-162.75E-162.64E-162.53E-162.43E-162.34E-162.26E-162.18E-162.11E-162.04E-161.97E-161.91E-161.85E-161.80E-161.75E-161.70E-161.66E-16
0.0407.39E-155.72E-031.93E-065.82E-131.34E-154.71E-164.41E-164.19E-163.99E-163.81E-163.64E-163.48E-163.34E-163.20E-163.08E-162.96E-162.84E-162.74E-162.64E-162.55E-162.46E-162.38E-162.30E-162.23E-162.16E-162.10E-162.04E-161.98E-161.93E-16
0.06001.25E-087.93E-033.28E-054.09E-108.69E-158.25E-164.67E-164.42E-164.23E-164.05E-163.89E-163.73E-163.59E-163.45E-163.33E-163.21E-163.09E-162.98E-162.88E-162.78E-162.69E-162.61E-162.53E-162.45E-162.37E-162.30E-162.24E-162.18E-16
0.08004.57E-163.44E-061.01E-021.70E-042.29E-083.24E-132.38E-155.73E-164.62E-164.41E-164.24E-164.08E-163.93E-163.79E-163.66E-163.53E-163.41E-163.29E-163.19E-163.08E-162.98E-162.89E-162.80E-162.72E-162.63E-162.56E-162.48E-162.42E-16
0.090003.33E-155.14E-051.19E-024.86E-043.36E-072.70E-119.33E-151.18E-154.83E-164.57E-164.39E-164.23E-164.09E-163.95E-163.82E-163.70E-163.58E-163.47E-163.36E-163.25E-163.15E-163.06E-162.97E-162.88E-162.80E-162.72E-162.65E-16
0.110004.15E-161.48E-122.43E-041.34E-029.87E-042.23E-066.82E-108.08E-142.66E-157.38E-164.73E-164.53E-164.37E-164.22E-164.09E-163.96E-163.84E-163.72E-163.61E-163.51E-163.40E-163.30E-163.21E-163.12E-163.03E-162.95E-162.87E-16
0.1300004.74E-168.62E-106.54E-041.45E-021.63E-039.00E-067.86E-092.12E-127.18E-151.31E-155.24E-164.65E-164.48E-164.34E-164.21E-164.08E-163.97E-163.85E-163.74E-163.64E-163.53E-163.44E-163.34E-163.25E-163.16E-163.08E-16
0.1500003.83E-161.56E-154.25E-081.28E-031.53E-022.37E-032.62E-055.30E-083.46E-112.75E-142.49E-158.16E-164.80E-164.59E-164.44E-164.31E-164.19E-164.07E-163.96E-163.86E-163.75E-163.65E-163.55E-163.46E-163.37E-163.29E-16
0.16000004.38E-161.19E-145.69E-072.05E-031.59E-023.16E-036.07E-052.44E-073.33E-102.21E-135.23E-151.31E-155.73E-164.71E-164.54E-164.41E-164.29E-164.17E-164.06E-163.96E-163.85E-163.76E-163.66E-163.57E-163.48E-16
0.18000003.56E-164.74E-167.28E-133.55E-062.92E-031.63E-023.97E-031.20E-048.49E-072.15E-092.58E-121.31E-142.18E-158.32E-164.83E-164.64E-164.49E-164.37E-164.26E-164.15E-164.05E-163.95E-163.85E-163.76E-163.67E-16
0.200000004.12E-169.24E-165.53E-111.37E-053.82E-031.68E-024.79E-032.09E-042.39E-061.02E-082.13E-114.47E-143.88E-151.23E-155.91E-164.73E-164.58E-164.45E-164.34E-164.23E-164.13E-164.03E-163.94E-163.85E-16
0.210000003.33E-164.44E-162.82E-151.30E-093.84E-054.73E-031.71E-025.59E-033.32E-045.69E-063.85E-081.29E-102.59E-137.57E-151.88E-158.12E-164.85E-164.66E-164.53E-164.41E-164.31E-164.20E-164.11E-164.02E-16
0.2300000003.89E-164.69E-161.25E-141.41E-088.63E-055.62E-031.75E-026.38E-034.92E-041.19E-051.19E-076.08E-101.82E-121.71E-142.97E-151.13E-155.88E-164.75E-164.60E-164.48E-164.37E-164.27E-164.19E-16
0.2500000003.13E-164.21E-166.27E-161.51E-139.01E-081.65E-046.48E-031.77E-027.12E-036.87E-042.24E-053.18E-072.34E-091.03E-114.91E-144.96E-151.61E-157.73E-164.85E-164.68E-164.55E-164.44E-164.35E-16
0.26000000003.68E-164.44E-161.33E-154.37E-123.99E-072.82E-047.33E-031.81E-027.87E-039.20E-043.90E-057.49E-077.65E-094.73E-112.04E-138.97E-152.35E-151.03E-155.74E-164.75E-164.61E-164.51E-16
0.28000000002.95E-164.01E-164.64E-163.14E-156.67E-111.33E-064.36E-048.07E-031.82E-028.50E-031.17E-036.28E-051.57E-062.16E-081.80E-101.02E-121.80E-143.53E-151.39E-157.21E-164.84E-164.69E-16
0.300000000003.50E-164.25E-164.86E-169.20E-156.18E-103.66E-066.44E-048.95E-031.88E-029.30E-031.49E-039.73E-053.11E-065.52E-086.15E-104.55E-124.37E-145.64E-151.88E-159.29E-165.71E-16
0.310000000002.79E-163.83E-164.43E-168.10E-164.11E-143.70E-098.23E-068.58E-049.37E-031.85E-029.63E-031.75E-031.38E-045.42E-061.23E-071.73E-091.68E-111.37E-138.98E-152.64E-151.28E-15
0.3300000000003.33E-164.07E-164.59E-161.49E-154.54E-131.80E-081.79E-051.20E-031.07E-021.99E-021.08E-022.22E-032.04E-049.83E-062.72E-074.88E-096.24E-114.90E-131.69E-144.30E-15
0.3500000000002.65E-163.66E-164.26E-164.75E-162.86E-154.65E-125.82E-082.93E-051.36E-031.01E-021.79E-021.02E-022.30E-032.46E-041.39E-054.75E-071.09E-081.45E-101.71E-124.42E-14
0.36000000000003.17E-163.91E-164.41E-165.72E-166.64E-154.51E-112.16E-076.13E-052.06E-031.31E-022.23E-021.31E-023.27E-033.93E-042.64E-051.12E-062.59E-085.09E-101.20E-11
0.38000000000002.52E-163.50E-164.09E-164.54E-168.71E-161.56E-141.74E-103.70E-076.45E-051.63E-039.08E-031.49E-029.11E-032.43E-033.33E-042.68E-051.12E-063.74E-081.44E-09
0.400000000000003.03E-163.76E-164.26E-164.69E-161.53E-159.23E-141.52E-091.63E-061.86E-043.70E-031.81E-022.89E-021.80E-025.23E-038.29E-046.38E-053.73E-062.39E-07
0.420000000000002.39E-163.35E-163.93E-164.37E-164.79E-162.04E-151.48E-131.08E-096.43E-075.09E-058.13E-043.62E-035.52E-033.56E-031.15E-031.69E-041.77E-051.93E-06
0.4300000000000002.90E-163.62E-164.12E-164.51E-166.57E-165.43E-156.94E-122.53E-089.06E-065.17E-046.90E-032.74E-024.12E-022.83E-028.17E-031.58E-033.02E-04
0.4500000000000002.15E-163.02E-163.56E-163.96E-164.26E-164.50E-164.70E-164.93E-165.56E-161.54E-152.22E-142.29E-138.40E-131.28E-127.54E-132.79E-139.66E-14
0.47000000000000002.77E-163.48E-163.97E-164.36E-164.73E-161.39E-152.46E-149.52E-119.77E-081.52E-055.04E-044.85E-031.72E-022.15E-021.56E-029.85E-03
0.48000000000000002.20E-163.10E-163.68E-164.12E-164.47E-164.93E-162.42E-151.47E-137.15E-104.43E-074.79E-051.28E-031.12E-023.10E-024.59E-025.52E-02
0.500000000000000002.46E-163.09E-163.55E-163.90E-164.18E-164.40E-164.59E-164.76E-164.97E-165.42E-167.10E-162.05E-156.94E-151.85E-144.13E-14
Return to Figure 2


Figure 2 (Bottom Left Panel): Comparison of Different Levels of Information-Processing Capacity
ConsumptionWealth:
0.02
Wealth:
0.05
Wealth:
0.09
Wealth:
0.12
Wealth:
0.16
Wealth:
0.19
Wealth:
0.22
Wealth:
0.26
Wealth:
0.29
Wealth:
0.32
Wealth:
0.36
Wealth:
0.39
Wealth:
0.43
Wealth:
0.46
Wealth:
0.49
Wealth:
0.53
Wealth:
0.56
Wealth:
0.59
Wealth:
0.63
Wealth:
0.66
Wealth:
0.70
Wealth:
0.73
Wealth:
0.76
Wealth:
0.80
Wealth:
0.83
Wealth:
0.86
Wealth:
0.90
Wealth:
0.93
Wealth:
0.97
Wealth:
1.00
0.011.31E-033.61E-056.41E-071.47E-085.27E-102.66E-111.62E-121.25E-131.55E-144.63E-152.27E-151.40E-159.82E-167.54E-166.09E-165.08E-164.35E-163.96E-163.82E-163.70E-163.57E-163.44E-163.32E-163.20E-163.09E-162.98E-162.89E-162.80E-162.71E-162.64E-16
0.0303.32E-036.45E-044.31E-052.92E-062.28E-071.93E-081.90E-092.02E-102.40E-113.16E-124.34E-136.59E-141.52E-145.78E-152.98E-151.86E-151.32E-151.01E-158.15E-166.74E-165.69E-164.91E-164.33E-163.98E-163.87E-163.77E-163.68E-163.60E-163.52E-16
0.0401.59E-044.24E-031.28E-031.95E-042.57E-053.15E-064.14E-075.51E-087.84E-091.21E-091.89E-103.13E-115.69E-121.08E-122.02E-134.18E-141.29E-145.87E-153.34E-152.16E-151.51E-151.14E-159.07E-167.56E-166.52E-165.76E-165.19E-164.74E-164.39E-16
0.06008.32E-042.75E-031.22E-033.04E-045.79E-051.05E-051.80E-063.14E-075.73E-081.04E-081.94E-093.92E-108.14E-111.66E-113.44E-127.77E-131.91E-135.05E-141.62E-146.89E-153.73E-152.40E-151.73E-151.34E-151.10E-159.33E-168.15E-167.27E-16
0.08008.46E-063.85E-037.70E-034.32E-031.39E-033.65E-048.31E-051.82E-053.99E-068.42E-071.80E-074.08E-089.38E-092.09E-094.70E-101.14E-102.98E-117.96E-122.03E-124.89E-131.19E-133.40E-141.33E-146.91E-154.32E-153.03E-152.31E-151.85E-15
0.090006.89E-131.50E-112.44E-111.48E-116.06E-121.91E-125.41E-131.49E-134.04E-141.27E-145.34E-152.86E-151.80E-151.27E-159.75E-167.94E-166.68E-165.71E-164.95E-164.36E-164.02E-163.91E-163.81E-163.72E-163.64E-163.57E-163.50E-16
0.110003.40E-071.02E-037.55E-031.03E-027.09E-033.24E-031.21E-034.10E-041.23E-043.53E-051.04E-052.97E-068.04E-072.15E-076.10E-081.84E-085.58E-091.60E-094.29E-101.15E-103.25E-119.96E-123.34E-121.22E-124.81E-132.04E-139.26E-14
0.1300001.97E-121.58E-106.28E-108.21E-105.81E-103.01E-101.31E-104.81E-111.64E-115.53E-121.80E-125.45E-131.64E-135.34E-142.00E-148.74E-154.42E-152.60E-151.74E-151.29E-151.03E-158.58E-167.42E-166.59E-165.96E-165.48E-16
0.1500001.40E-081.56E-042.79E-038.18E-039.77E-037.35E-034.24E-031.96E-038.00E-043.16E-041.17E-043.95E-051.29E-054.34E-061.53E-065.34E-071.73E-075.24E-081.56E-084.88E-091.64E-096.00E-102.37E-101.01E-104.57E-112.20E-11
0.16000006.20E-141.13E-119.64E-112.18E-102.55E-102.03E-101.21E-106.04E-112.82E-111.21E-114.61E-121.68E-126.24E-132.42E-139.39E-143.54E-141.39E-146.42E-153.64E-152.42E-151.79E-151.42E-151.19E-151.02E-159.07E-16
0.18000001.06E-092.87E-051.11E-035.62E-031.11E-021.28E-021.01E-026.35E-033.57E-031.78E-037.76E-043.16E-041.29E-045.42E-052.21E-058.28E-062.84E-069.52E-073.31E-071.23E-074.93E-082.12E-089.78E-094.78E-092.46E-09
0.200000003.55E-081.50E-052.22E-048.26E-041.48E-031.62E-031.31E-039.01E-045.32E-042.68E-041.23E-045.61E-052.59E-051.15E-054.64E-061.70E-066.08E-072.24E-078.78E-083.69E-081.66E-087.98E-094.06E-092.17E-09
0.210000007.27E-168.49E-145.39E-124.50E-111.36E-102.16E-102.32E-102.00E-101.42E-108.36E-114.39E-112.25E-111.14E-115.56E-122.43E-129.64E-133.70E-131.47E-136.36E-143.04E-141.63E-149.84E-156.57E-154.75E-15
0.2300000003.86E-082.82E-056.86E-043.94E-039.68E-031.44E-021.60E-021.39E-029.67E-035.86E-033.39E-031.92E-031.03E-034.88E-042.08E-048.49E-053.53E-051.55E-057.22E-063.58E-061.88E-061.04E-065.99E-07
0.2500000003.54E-123.57E-073.92E-055.05E-042.09E-034.52E-036.67E-037.28E-036.09E-034.31E-032.84E-031.81E-031.07E-035.56E-042.57E-041.12E-045.00E-052.33E-051.15E-055.97E-063.28E-061.89E-061.14E-06
0.26000000001.10E-152.54E-148.01E-136.26E-122.09E-114.27E-116.00E-116.15E-115.15E-113.92E-112.82E-111.85E-111.06E-115.33E-122.52E-121.20E-125.98E-133.14E-131.75E-131.03E-136.37E-144.15E-14
0.28000000003.97E-162.35E-156.20E-141.02E-125.74E-121.70E-113.17E-114.08E-114.10E-113.65E-113.00E-112.21E-111.40E-117.68E-123.94E-122.02E-121.07E-125.93E-133.46E-132.12E-131.36E-139.05E-14
0.300000000001.99E-103.70E-071.90E-052.03E-049.31E-042.40E-033.97E-034.90E-035.16E-034.89E-034.08E-032.87E-031.73E-039.67E-045.33E-043.02E-041.78E-041.09E-047.01E-054.65E-053.19E-05
0.310000000001.51E-133.83E-088.88E-062.13E-041.65E-036.20E-031.36E-022.10E-022.66E-022.95E-022.81E-022.22E-021.48E-029.02E-035.39E-033.28E-032.06E-031.35E-039.11E-046.36E-044.57E-04
0.3300000000004.84E-161.63E-151.07E-141.06E-135.98E-131.81E-123.59E-125.57E-127.29E-128.00E-127.15E-125.31E-123.56E-122.32E-121.52E-121.03E-127.16E-135.14E-133.80E-132.87E-13
0.3500000000003.36E-166.36E-161.84E-158.64E-155.44E-142.25E-135.89E-131.14E-121.79E-122.30E-122.34E-121.95E-121.45E-121.03E-127.35E-135.34E-133.97E-133.03E-132.37E-131.89E-13
0.36000000000003.90E-168.23E-162.29E-159.41E-154.40E-141.50E-133.68E-137.05E-131.07E-121.26E-121.18E-129.78E-137.65E-135.93E-134.65E-133.70E-133.00E-132.48E-132.08E-13
0.38000000000003.14E-164.87E-161.11E-153.17E-151.25E-145.07E-141.59E-133.77E-136.85E-139.39E-131.01E-129.35E-138.09E-136.85E-135.81E-134.97E-134.30E-133.76E-133.33E-13
0.400000000000003.77E-166.93E-161.70E-155.72E-152.54E-141.02E-133.08E-136.85E-131.11E-121.38E-121.44E-121.39E-121.29E-121.19E-121.10E-121.01E-129.44E-138.84E-13
0.420000000000002.82E-151.72E-109.42E-084.62E-066.42E-054.29E-041.77E-034.98E-039.73E-031.41E-021.68E-021.82E-021.87E-021.88E-021.88E-021.87E-021.86E-021.85E-02
0.4300000000000008.38E-135.03E-097.18E-071.89E-051.96E-041.12E-034.04E-039.67E-031.66E-022.29E-022.79E-023.20E-023.54E-023.85E-024.13E-024.39E-024.64E-02
0.4500000000000002.76E-163.88E-166.27E-161.19E-152.61E-157.15E-152.22E-145.88E-141.17E-131.85E-132.56E-133.28E-134.01E-134.75E-135.51E-136.30E-137.10E-13
0.47000000000000003.26E-164.01E-166.36E-161.09E-152.02E-154.18E-158.99E-151.77E-143.04E-144.63E-146.54E-148.76E-141.13E-131.42E-131.74E-132.09E-13
0.48000000000000002.42E-163.53E-164.24E-166.61E-161.06E-151.79E-153.12E-155.37E-158.83E-151.38E-142.05E-142.93E-144.06E-145.45E-147.14E-149.15E-14
0.500000000000000002.98E-163.72E-164.60E-166.92E-161.06E-151.64E-152.52E-153.82E-155.71E-158.45E-151.23E-141.77E-142.50E-143.45E-144.68E-14
Return to Figure 2


Figure 2 (Bottom Right Panel): Comparison of Different Levels of Information-Processing Capacity
ConsumptionWealth:
0.02
Wealth:
0.05
Wealth:
0.09
Wealth:
0.12
Wealth:
0.16
Wealth:
0.19
Wealth:
0.22
Wealth:
0.26
Wealth:
0.29
Wealth:
0.32
Wealth:
0.36
Wealth:
0.39
Wealth:
0.43
Wealth:
0.46
Wealth:
0.49
Wealth:
0.53
Wealth:
0.56
Wealth:
0.59
Wealth:
0.63
Wealth:
0.66
Wealth:
0.70
Wealth:
0.73
Wealth:
0.76
Wealth:
0.80
Wealth:
0.83
Wealth:
0.86
Wealth:
0.90
Wealth:
0.93
Wealth:
0.97
Wealth:
1.00
0.011.31E-033.50E-049.05E-053.19E-051.08E-054.50E-062.22E-069.97E-074.51E-072.29E-071.32E-078.24E-085.11E-082.91E-081.56E-088.29E-094.60E-092.70E-091.68E-091.10E-097.56E-105.38E-103.96E-103.00E-102.33E-101.85E-101.49E-101.22E-101.02E-108.61E-11
0.0304.09E-142.01E-149.73E-154.33E-152.39E-151.56E-151.01E-157.02E-165.40E-164.48E-163.89E-163.40E-162.95E-162.55E-162.24E-162.00E-161.82E-161.69E-161.58E-161.50E-161.43E-161.37E-161.32E-161.28E-161.25E-161.21E-161.19E-161.16E-161.14E-16
0.0403.17E-035.40E-033.70E-031.81E-039.71E-045.74E-042.96E-041.50E-048.33E-055.16E-053.45E-052.26E-051.36E-057.58E-064.20E-062.42E-061.47E-069.43E-076.35E-074.47E-073.26E-072.45E-071.89E-071.50E-071.21E-079.94E-088.30E-087.02E-086.01E-08
0.06008.84E-131.12E-127.23E-134.57E-133.03E-131.70E-139.22E-145.44E-143.55E-142.49E-141.71E-141.09E-146.56E-154.04E-152.65E-151.88E-151.42E-151.13E-159.43E-168.10E-167.14E-166.41E-165.84E-165.39E-165.02E-164.72E-164.47E-164.25E-16
0.08002.30E-041.04E-039.88E-047.69E-045.82E-043.59E-042.08E-041.30E-048.80E-056.35E-054.45E-052.83E-051.66E-059.63E-065.77E-063.64E-062.41E-061.67E-061.21E-069.05E-076.97E-075.51E-074.45E-073.66E-073.06E-072.60E-072.24E-071.94E-07
0.090003.17E-035.59E-035.73E-035.12E-033.53E-032.23E-031.48E-031.06E-037.97E-045.80E-043.81E-042.30E-041.36E-048.36E-055.37E-053.62E-052.56E-051.87E-051.42E-051.11E-058.87E-067.24E-066.02E-065.09E-064.35E-063.77E-063.31E-06
0.110001.23E-137.70E-131.16E-121.28E-121.01E-127.03E-135.02E-133.81E-133.01E-132.28E-131.55E-139.68E-145.94E-143.75E-142.49E-141.74E-141.27E-149.67E-157.62E-156.18E-155.15E-154.38E-153.79E-153.34E-152.98E-152.69E-152.45E-15
0.1300001.74E-034.88E-037.06E-036.58E-035.12E-033.97E-033.21E-032.68E-032.12E-031.49E-039.56E-045.99E-043.85E-042.58E-041.81E-041.32E-0410.00E-057.80E-056.25E-055.12E-054.28E-053.64E-053.13E-052.73E-052.41E-052.15E-05
0.1500003.22E-133.21E-126.84E-127.85E-126.99E-125.98E-125.20E-124.59E-123.81E-122.79E-121.85E-121.20E-127.89E-135.42E-133.88E-132.89E-132.23E-131.77E-131.44E-131.19E-131.01E-138.70E-147.58E-146.69E-145.97E-145.37E-14
0.16000002.50E-129.88E-121.49E-111.57E-111.50E-111.42E-111.34E-111.17E-118.94E-126.16E-124.10E-122.78E-121.96E-121.43E-121.09E-128.50E-136.85E-135.65E-134.76E-134.08E-133.54E-133.12E-132.78E-132.50E-132.27E-13
0.18000007.28E-141.01E-122.26E-122.92E-123.20E-123.33E-123.38E-123.13E-122.51E-121.80E-121.24E-128.67E-136.25E-134.68E-133.63E-132.90E-132.38E-131.99E-131.70E-131.48E-131.30E-131.16E-131.04E-139.47E-148.67E-14
0.200000001.14E-034.71E-038.01E-031.03E-021.21E-021.33E-021.32E-021.11E-028.33E-035.96E-034.29E-033.18E-032.44E-031.93E-031.57E-031.31E-031.12E-039.67E-048.50E-047.57E-046.82E-046.20E-045.68E-045.25E-04
0.210000008.82E-051.30E-033.26E-035.18E-036.91E-038.39E-038.92E-038.00E-036.28E-034.68E-033.49E-032.66E-032.09E-031.70E-031.41E-031.20E-031.04E-039.12E-048.14E-047.34E-046.69E-046.15E-045.70E-045.32E-04
0.2300000001.08E-135.00E-131.05E-121.65E-122.24E-122.59E-122.47E-122.05E-121.59E-121.23E-129.72E-137.86E-136.53E-135.54E-134.80E-134.23E-133.79E-133.43E-133.14E-132.89E-132.69E-132.52E-132.38E-13
0.2500000003.72E-154.96E-141.51E-132.93E-134.54E-135.78E-135.95E-135.22E-134.26E-133.43E-132.80E-132.33E-131.99E-131.73E-131.53E-131.38E-131.25E-131.15E-131.07E-139.99E-149.41E-148.92E-148.50E-14
0.26000000007.10E-153.68E-149.26E-141.69E-132.41E-132.69E-132.52E-132.17E-131.82E-131.54E-131.33E-131.17E-131.04E-139.40E-148.61E-147.97E-147.45E-147.02E-146.66E-146.35E-146.09E-145.87E-14
0.28000000001.04E-151.01E-143.57E-147.95E-141.29E-131.59E-131.60E-131.46E-131.29E-131.13E-131.01E-139.13E-148.35E-147.73E-147.23E-146.82E-146.48E-146.20E-145.96E-145.76E-145.59E-145.45E-14
0.300000000002.71E-151.46E-144.17E-147.94E-141.09E-131.19E-131.16E-131.08E-139.93E-149.18E-148.55E-148.04E-147.62E-147.28E-147.01E-146.78E-146.59E-146.43E-146.30E-146.19E-146.09E-14
0.310000000007.19E-166.13E-152.42E-145.62E-148.81E-141.06E-131.11E-131.09E-131.05E-131.01E-139.76E-149.45E-149.20E-148.99E-148.82E-148.69E-148.59E-148.51E-148.45E-148.41E-148.39E-14
0.3300000000002.50E-151.52E-144.57E-148.42E-141.13E-131.29E-131.35E-131.38E-131.38E-131.38E-131.38E-131.38E-131.38E-131.38E-131.39E-131.40E-131.41E-131.42E-131.43E-131.44E-13
0.3500000000009.61E-161.21E-145.26E-141.19E-131.84E-132.30E-132.60E-132.80E-132.95E-133.06E-133.17E-133.26E-133.35E-133.44E-133.53E-133.61E-133.70E-133.79E-133.87E-133.96E-13
0.36000000000003.45E-042.94E-038.88E-031.62E-022.27E-022.79E-023.20E-023.55E-023.86E-024.14E-024.40E-024.65E-024.89E-025.13E-025.36E-025.58E-025.81E-026.03E-026.25E-02
0.38000000000007.98E-072.42E-051.08E-042.42E-043.88E-045.25E-046.50E-047.64E-048.70E-049.71E-041.07E-031.16E-031.25E-031.35E-031.43E-031.52E-031.61E-031.70E-031.79E-03
0.400000000000001.54E-158.04E-152.22E-144.12E-146.20E-148.31E-141.04E-131.25E-131.45E-131.66E-131.86E-132.06E-132.26E-132.47E-132.67E-132.88E-133.08E-133.29E-13
0.420000000000003.26E-161.29E-153.66E-157.54E-151.25E-141.81E-142.41E-143.05E-143.71E-144.39E-145.09E-145.80E-146.53E-147.27E-148.03E-148.80E-149.58E-141.04E-13
0.4300000000000004.40E-161.09E-152.23E-153.88E-155.94E-158.36E-151.11E-141.40E-141.72E-142.06E-142.41E-142.78E-143.17E-143.57E-143.98E-144.41E-144.84E-14
0.4500000000000002.04E-164.87E-169.36E-161.60E-152.50E-153.63E-154.97E-156.51E-158.23E-151.01E-141.22E-141.44E-141.67E-141.92E-142.18E-142.46E-142.74E-14
0.47000000000000002.66E-164.93E-168.14E-161.25E-151.82E-152.54E-153.39E-154.38E-155.52E-156.78E-158.18E-159.70E-151.13E-141.31E-141.50E-141.70E-14
0.48000000000000001.54E-163.00E-164.86E-167.33E-161.06E-151.47E-151.97E-152.58E-153.30E-154.13E-155.06E-156.11E-157.26E-158.52E-159.88E-151.13E-14
0.500000000000000001.96E-163.19E-164.74E-166.73E-169.25E-161.24E-151.63E-152.10E-152.65E-153.29E-154.02E-154.84E-155.75E-156.76E-157.86E-15
Return to Figure 2


Figure 3 (Top Left Panel): Comparison of Two Levels of Risk Aversion with Information Processing Capacity of kappa = 0.85 bits.
ConsumptionWealth:
0.02
Wealth:
0.05
Wealth:
0.09
Wealth:
0.12
Wealth:
0.15
Wealth:
0.18
Wealth:
0.22
Wealth:
0.25
Wealth:
0.28
Wealth:
0.31
Wealth:
0.35
Wealth:
0.38
Wealth:
0.41
Wealth:
0.44
Wealth:
0.48
Wealth:
0.51
Wealth:
0.54
Wealth:
0.58
Wealth:
0.61
Wealth:
0.64
Wealth:
0.67
Wealth:
0.71
Wealth:
0.74
Wealth:
0.77
Wealth:
0.80
Wealth:
0.84
Wealth:
0.87
Wealth:
0.90
Wealth:
0.93
Wealth:
0.97
Wealth:
1.00
0.011.27E-033.68E-045.36E-051.50E-054.52E-061.41E-065.15E-072.17E-079.03E-083.70E-081.61E-087.72E-094.08E-092.28E-091.25E-096.59E-103.39E-101.81E-101.05E-106.72E-114.68E-113.51E-112.78E-112.30E-111.97E-111.72E-111.54E-111.40E-111.28E-111.19E-111.12E-11
0.0402.96E-034.80E-033.17E-031.55E-036.66E-043.07E-041.54E-047.42E-053.42E-051.64E-058.55E-064.86E-062.87E-061.66E-068.98E-074.64E-072.39E-071.27E-077.12E-084.19E-082.60E-081.68E-081.13E-087.87E-095.66E-094.17E-093.16E-092.44E-091.92E-091.53E-09
0.08005.47E-044.02E-034.62E-033.22E-032.05E-031.30E-037.48E-043.98E-042.15E-041.24E-047.65E-054.88E-053.01E-051.73E-059.38E-065.07E-062.82E-061.64E-061.00E-066.40E-074.27E-072.95E-072.11E-071.55E-071.17E-079.02E-087.09E-085.67E-084.61E-08
0.110002.52E-043.22E-035.30E-035.45E-034.77E-033.47E-032.21E-031.37E-038.91E-046.09E-044.23E-042.81E-041.72E-049.91E-055.64E-053.28E-051.99E-051.27E-058.39E-065.79E-064.13E-063.04E-062.30E-061.77E-061.40E-061.13E-069.19E-077.61E-07
0.1400001.31E-042.40E-035.83E-038.26E-038.28E-036.65E-034.95E-033.71E-032.85E-032.19E-031.58E-031.04E-036.42E-043.87E-042.38E-041.51E-041.00E-046.91E-054.94E-053.64E-052.76E-052.15E-051.71E-051.38E-051.14E-059.48E-068.02E-06
0.17000009.74E-102.55E-088.50E-081.38E-071.53E-071.44E-071.29E-071.14E-079.87E-087.89E-085.67E-083.76E-082.42E-081.58E-081.06E-087.35E-095.30E-093.95E-093.03E-092.38E-091.91E-091.57E-091.31E-091.11E-099.53E-108.28E-10
0.210000003.33E-051.24E-034.74E-038.50E-031.10E-021.25E-021.32E-021.32E-021.19E-029.41E-036.79E-034.71E-033.27E-032.32E-031.70E-031.28E-039.96E-047.92E-046.44E-045.34E-044.50E-043.85E-043.33E-042.92E-042.59E-04
0.2400000001.15E-054.91E-042.07E-034.36E-036.79E-039.11E-031.09E-021.13E-021.01E-028.03E-036.06E-034.54E-033.44E-032.67E-032.12E-031.72E-031.43E-031.21E-031.04E-039.06E-047.99E-047.13E-046.41E-045.82E-04
0.27000000002.28E-113.02E-101.38E-093.44E-096.33E-099.50E-091.18E-081.22E-081.09E-089.12E-097.43E-096.08E-095.04E-094.25E-093.65E-093.18E-092.81E-092.51E-092.27E-092.07E-091.91E-091.77E-091.65E-09
0.300000000001.28E-118.72E-113.93E-101.12E-092.29E-093.57E-094.39E-094.55E-094.28E-093.85E-093.43E-093.06E-092.76E-092.51E-092.30E-092.13E-091.99E-091.87E-091.77E-091.68E-091.61E-091.55E-09
0.3400000000001.08E-116.41E-113.08E-109.66E-102.05E-093.18E-093.93E-094.26E-094.31E-094.24E-094.12E-093.99E-093.87E-093.76E-093.67E-093.59E-093.52E-093.46E-093.41E-093.37E-093.33E-09
0.37000000000002.22E-061.75E-041.38E-034.84E-031.04E-021.63E-022.11E-022.47E-022.73E-022.93E-023.09E-023.22E-023.34E-023.46E-023.56E-023.66E-023.75E-023.85E-023.94E-024.03E-02
0.400000000000004.58E-074.04E-053.33E-041.16E-032.50E-034.09E-035.72E-037.31E-038.83E-031.03E-021.17E-021.31E-021.44E-021.57E-021.70E-021.83E-021.96E-022.09E-022.21E-02
0.4300000000000005.59E-121.52E-113.69E-118.14E-111.53E-102.50E-103.68E-105.01E-106.48E-108.07E-109.75E-101.15E-091.34E-091.53E-091.73E-091.94E-092.15E-092.37E-09
0.47000000000000004.26E-128.81E-121.56E-112.58E-114.05E-116.05E-118.64E-111.19E-101.57E-102.02E-102.54E-103.11E-103.75E-104.44E-105.20E-106.01E-106.87E-10
0.500000000000000003.55E-126.43E-129.96E-121.46E-112.07E-112.86E-113.89E-115.19E-116.80E-118.77E-111.11E-101.39E-101.71E-102.07E-102.48E-102.93E-10
Return to Figure 3


Figure 3 (Top Right Panel): Comparison of Two Levels of Risk Aversion with Information Processing Capacity of kappa = 0.85 bits.
ConsumptionWealth:
0.02
Wealth:
0.05
Wealth:
0.09
Wealth:
0.12
Wealth:
0.15
Wealth:
0.18
Wealth:
0.22
Wealth:
0.25
Wealth:
0.28
Wealth:
0.31
Wealth:
0.35
Wealth:
0.38
Wealth:
0.41
Wealth:
0.44
Wealth:
0.48
Wealth:
0.51
Wealth:
0.54
Wealth:
0.58
Wealth:
0.61
Wealth:
0.64
Wealth:
0.67
Wealth:
0.71
Wealth:
0.74
Wealth:
0.77
Wealth:
0.80
Wealth:
0.84
Wealth:
0.87
Wealth:
0.90
Wealth:
0.93
Wealth:
0.97
Wealth:
1.00
0.011.27E-034.47E-043.80E-113.68E-113.55E-113.52E-113.49E-113.48E-113.47E-113.46E-113.46E-113.45E-113.45E-113.45E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-113.44E-11
0.0402.88E-035.40E-032.77E-032.75E-091.85E-091.38E-091.22E-091.12E-091.06E-091.01E-099.81E-109.59E-109.40E-109.20E-109.03E-108.91E-108.83E-108.79E-108.76E-108.74E-108.73E-108.72E-108.72E-108.72E-108.72E-108.72E-108.73E-108.73E-108.74E-108.74E-10
0.08003.81E-114.69E-039.53E-034.41E-035.43E-055.36E-067.85E-071.99E-077.65E-084.13E-082.86E-082.15E-081.63E-081.33E-081.17E-081.08E-081.03E-081.00E-089.85E-099.75E-099.69E-099.67E-099.67E-099.69E-099.72E-099.75E-099.80E-099.84E-099.90E-09
0.110003.69E-113.00E-097.18E-031.35E-026.78E-031.90E-036.04E-042.18E-049.32E-054.98E-052.76E-051.37E-057.43E-064.85E-063.68E-063.10E-062.79E-062.61E-062.51E-062.47E-062.45E-062.46E-062.48E-062.52E-062.56E-062.61E-062.66E-062.72E-06
0.1400003.56E-112.00E-091.16E-048.93E-031.28E-028.08E-034.09E-032.10E-031.25E-037.44E-043.88E-042.16E-041.44E-041.11E-049.44E-058.55E-058.07E-057.81E-057.70E-057.68E-057.73E-057.82E-057.95E-058.10E-058.27E-058.45E-058.65E-05
0.17000003.53E-111.47E-091.39E-053.04E-039.78E-039.82E-037.08E-035.08E-033.37E-031.88E-031.10E-037.54E-045.95E-045.14E-044.72E-044.49E-044.38E-044.34E-044.35E-044.40E-044.46E-044.54E-044.64E-044.75E-044.86E-044.98E-04
0.210000003.51E-111.31E-092.88E-061.40E-037.20E-031.03E-021.04E-028.26E-035.16E-033.22E-032.32E-031.89E-031.67E-031.56E-031.50E-031.48E-031.48E-031.49E-031.51E-031.54E-031.57E-031.61E-031.65E-031.69E-031.73E-03
0.2400000003.49E-111.21E-097.98E-076.03E-044.41E-038.81E-039.85E-037.39E-035.16E-033.98E-033.40E-033.10E-032.96E-032.90E-032.89E-032.91E-032.96E-033.02E-033.09E-033.16E-033.25E-033.34E-033.43E-033.53E-03
0.27000000003.46E-119.52E-101.25E-081.22E-061.22E-052.70E-052.84E-052.38E-052.05E-051.88E-051.80E-051.77E-051.77E-051.79E-051.83E-051.88E-051.93E-051.99E-052.05E-052.11E-052.17E-052.24E-052.31E-05
0.300000000003.48E-111.13E-093.39E-074.84E-045.49E-031.15E-021.35E-021.40E-021.43E-021.46E-021.51E-021.56E-021.62E-021.68E-021.74E-021.81E-021.87E-021.94E-022.01E-022.08E-022.15E-022.22E-02
0.3400000000003.48E-111.10E-092.37E-073.61E-043.86E-039.02E-031.31E-021.61E-021.84E-022.03E-022.20E-022.36E-022.50E-022.64E-022.77E-022.90E-023.03E-023.15E-023.27E-023.40E-023.52E-02
0.37000000000003.44E-118.19E-105.00E-093.87E-082.38E-076.33E-071.07E-061.46E-061.79E-062.08E-062.32E-062.54E-062.74E-062.93E-063.10E-063.26E-063.42E-063.57E-063.72E-063.87E-06
0.400000000000003.43E-117.78E-103.85E-091.62E-085.99E-081.50E-072.66E-073.81E-074.85E-075.77E-076.58E-077.29E-077.94E-078.53E-079.08E-079.59E-071.01E-061.06E-061.10E-06
0.4300000000000003.42E-117.48E-103.29E-091.09E-083.10E-086.89E-081.19E-071.71E-072.21E-072.65E-073.05E-073.40E-073.72E-074.01E-074.27E-074.52E-074.76E-074.99E-07
0.47000000000000003.42E-117.25E-102.97E-098.73E-092.14E-084.29E-087.08E-081.00E-071.29E-071.55E-071.78E-071.99E-072.18E-072.35E-072.51E-072.65E-072.79E-07
0.500000000000000003.41E-117.09E-102.77E-097.53E-091.68E-083.12E-084.92E-086.83E-088.67E-081.04E-071.19E-071.32E-071.45E-071.56E-071.66E-071.76E-07
Return to Figure 3


Figure 3 (Middle Left Panel): Comparison of Two Levels of Risk Aversion with Information Processing Capacity of kappa = 0.85 bits.
ConsumptionMarg Consumption
0.010.00
0.040.01
0.080.02
0.110.03
0.140.05
0.170.00
0.210.11
0.240.09
0.270.00
0.300.00
0.340.00
0.370.49
0.400.19
0.430.00
0.470.00
0.500.00
Return to Figure3


Figure 3 (Middle Right Panel): Comparison of Two Levels of Risk Aversion with Information Processing Capacity of kappa = 0.85 bits.
ConsumptionMarg Consumption
0.010.00
0.040.01
0.080.02
0.110.03
0.140.04
0.170.05
0.210.07
0.240.08
0.270.00
0.300.30
0.340.40
0.370.00
0.400.00
0.430.00
0.470.00
0.500.00
Return to Figure 3


Figure 3 (Bottom Left Panel): Comparison of Two Levels of Risk Aversion with Information Processing Capacity of kappa = 0.85 bits.
ConsumptionWealth:
0.02
Wealth:
0.05
Wealth:
0.09
Wealth:
0.12
Wealth:
0.15
Wealth:
0.18
Wealth:
0.22
Wealth:
0.25
Wealth:
0.28
Wealth:
0.31
Wealth:
0.35
Wealth:
0.38
Wealth:
0.41
Wealth:
0.44
Wealth:
0.48
Wealth:
0.51
Wealth:
0.54
Wealth:
0.58
Wealth:
0.61
Wealth:
0.64
Wealth:
0.67
Wealth:
0.71
Wealth:
0.74
Wealth:
0.77
Wealth:
0.80
Wealth:
0.84
Wealth:
0.87
Wealth:
0.90
Wealth:
0.93
Wealth:
0.97
Wealth:
1.00
0.017.40E-012.15E-013.13E-028.80E-032.65E-038.27E-043.02E-041.27E-045.29E-052.17E-059.40E-064.52E-062.39E-061.33E-067.34E-073.86E-071.99E-071.06E-076.16E-083.93E-082.74E-082.05E-081.63E-081.35E-081.15E-081.01E-089.01E-098.18E-097.52E-096.98E-096.53E-09
0.0402.15E-013.49E-012.31E-011.12E-014.84E-022.23E-021.12E-025.40E-032.49E-031.19E-036.22E-043.53E-042.09E-041.21E-046.53E-053.37E-051.74E-059.25E-065.18E-063.05E-061.89E-061.22E-068.22E-075.73E-074.11E-073.04E-072.29E-071.77E-071.39E-071.12E-07
0.08003.13E-022.31E-012.65E-011.85E-011.17E-017.45E-024.29E-022.28E-021.23E-027.10E-034.39E-032.80E-031.72E-039.89E-045.38E-042.90E-041.61E-049.39E-055.73E-053.67E-052.45E-051.69E-051.21E-058.90E-066.71E-065.17E-064.07E-063.25E-062.64E-06
0.110008.80E-031.12E-011.85E-011.90E-011.66E-011.21E-017.70E-024.79E-023.11E-022.12E-021.47E-029.79E-036.00E-033.46E-031.97E-031.15E-036.96E-044.42E-042.93E-042.02E-041.44E-041.06E-048.01E-056.19E-054.88E-053.93E-053.20E-052.65E-05
0.1400002.65E-034.84E-021.17E-011.66E-011.67E-011.34E-019.97E-027.47E-025.74E-024.41E-023.19E-022.10E-021.29E-027.80E-034.79E-033.05E-032.02E-031.39E-039.95E-047.34E-045.57E-044.33E-043.44E-042.78E-042.29E-041.91E-041.62E-04
0.17000008.54E-042.23E-027.45E-021.21E-011.34E-011.26E-011.13E-011.00E-018.65E-026.91E-024.97E-023.29E-022.12E-021.38E-029.26E-036.44E-034.64E-033.46E-032.65E-032.09E-031.68E-031.38E-031.15E-039.72E-048.35E-047.25E-04
0.210000003.02E-041.12E-024.29E-027.70E-029.97E-021.13E-011.20E-011.19E-011.07E-018.52E-026.15E-024.27E-022.96E-022.10E-021.54E-021.16E-029.02E-037.17E-035.83E-034.83E-034.07E-033.48E-033.02E-032.64E-032.34E-03
0.2400000001.27E-045.40E-032.28E-024.79E-027.47E-021.00E-011.19E-011.24E-011.11E-018.83E-026.67E-024.99E-023.78E-022.94E-022.33E-021.90E-021.57E-021.33E-021.14E-029.97E-038.79E-037.84E-037.06E-036.40E-03
0.27000000002.08E-042.76E-031.26E-023.14E-025.77E-028.67E-021.08E-011.11E-019.96E-028.32E-026.78E-025.55E-024.60E-023.88E-023.33E-022.90E-022.56E-022.29E-022.07E-021.89E-021.74E-021.62E-021.51E-02
0.300000000002.49E-041.70E-037.68E-032.18E-024.47E-026.97E-028.58E-028.89E-028.35E-027.52E-026.70E-025.98E-025.39E-024.90E-024.49E-024.16E-023.89E-023.65E-023.46E-023.29E-023.14E-023.02E-02
0.3400000000001.70E-041.01E-034.86E-031.52E-023.23E-025.01E-026.20E-026.72E-026.80E-026.69E-026.50E-026.30E-026.11E-025.93E-025.79E-025.66E-025.55E-025.45E-025.37E-025.31E-025.25E-02
0.37000000000004.50E-063.53E-042.80E-039.79E-032.10E-023.29E-024.27E-024.99E-025.52E-025.92E-026.25E-026.52E-026.77E-026.99E-027.20E-027.40E-027.59E-027.78E-027.97E-028.15E-02
0.400000000000002.37E-062.09E-041.72E-036.00E-031.29E-022.12E-022.96E-023.78E-024.57E-025.33E-026.06E-026.77E-027.46E-028.15E-028.82E-029.49E-021.01E-011.08E-011.15E-01
0.4300000000000003.48E-049.44E-042.30E-035.07E-039.56E-031.56E-022.29E-023.12E-024.04E-025.03E-026.08E-027.18E-028.34E-029.54E-021.08E-011.21E-011.34E-011.47E-01
0.47000000000000001.09E-032.25E-033.98E-036.59E-031.03E-021.55E-022.21E-023.03E-024.02E-025.17E-026.49E-027.96E-029.59E-021.14E-011.33E-011.54E-011.76E-01
0.500000000000000002.37E-034.29E-036.64E-039.72E-031.38E-021.91E-022.59E-023.46E-024.54E-025.85E-027.42E-029.26E-021.14E-011.38E-011.65E-011.96E-01
Return to Figure 3


Figure 3 (Bottom Right Panel): Comparison of Two Levels of Risk Aversion with Information Processing Capacity of kappa = 0.85 bits.
ConsumptionWealth:
0.02
Wealth:
0.05
Wealth:
0.09
Wealth:
0.12
Wealth:
0.15
Wealth:
0.18
Wealth:
0.22
Wealth:
0.25
Wealth:
0.28
Wealth:
0.31
Wealth:
0.35
Wealth:
0.38
Wealth:
0.41
Wealth:
0.44
Wealth:
0.48
Wealth:
0.51
Wealth:
0.54
Wealth:
0.58
Wealth:
0.61
Wealth:
0.64
Wealth:
0.67
Wealth:
0.71
Wealth:
0.74
Wealth:
0.77
Wealth:
0.80
Wealth:
0.84
Wealth:
0.87
Wealth:
0.90
Wealth:
0.93
Wealth:
0.97
Wealth:
1.00
0.017.39E-012.61E-012.22E-082.15E-082.07E-082.06E-082.04E-082.03E-082.03E-082.02E-082.02E-082.02E-082.02E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-082.01E-08
0.0402.61E-014.88E-012.51E-012.48E-071.68E-071.24E-071.10E-071.01E-079.57E-089.17E-088.88E-088.68E-088.50E-088.32E-088.16E-088.06E-087.99E-087.95E-087.92E-087.91E-087.90E-087.89E-087.89E-087.89E-087.89E-087.89E-087.89E-087.90E-087.90E-087.91E-08
0.08002.04E-092.51E-015.10E-012.36E-012.90E-032.87E-044.20E-051.06E-054.09E-062.21E-061.53E-061.15E-068.73E-077.10E-076.24E-075.78E-075.52E-075.36E-075.27E-075.21E-075.18E-075.17E-075.17E-075.18E-075.20E-075.22E-075.24E-075.27E-075.29E-07
0.110001.21E-099.85E-082.36E-014.44E-012.23E-016.26E-021.98E-027.17E-033.06E-031.64E-039.07E-044.52E-042.44E-041.59E-041.21E-041.02E-049.16E-058.58E-058.27E-058.11E-058.07E-058.09E-058.17E-058.28E-058.42E-058.58E-058.76E-058.95E-05
0.1400008.89E-104.98E-082.90E-032.23E-013.20E-012.02E-011.02E-015.25E-023.13E-021.86E-029.68E-035.39E-033.59E-032.77E-032.36E-032.13E-032.01E-031.95E-031.92E-031.92E-031.93E-031.95E-031.98E-032.02E-032.06E-032.11E-032.16E-03
0.17000007.28E-103.03E-082.86E-046.26E-022.02E-012.02E-011.46E-011.05E-016.94E-023.88E-022.26E-021.55E-021.23E-021.06E-029.73E-039.26E-039.03E-038.95E-038.97E-039.06E-039.20E-039.37E-039.57E-039.79E-031.00E-021.03E-02
0.210000004.97E-101.86E-084.08E-051.98E-021.02E-011.46E-011.47E-011.17E-017.30E-024.57E-023.29E-022.68E-022.37E-022.21E-022.13E-022.09E-022.09E-022.11E-022.14E-022.18E-022.23E-022.28E-022.34E-022.40E-022.46E-02
0.2400000004.15E-101.43E-089.49E-067.17E-035.25E-021.05E-011.17E-018.79E-026.14E-024.73E-024.04E-023.69E-023.51E-023.44E-023.43E-023.46E-023.51E-023.58E-023.67E-023.76E-023.86E-023.97E-024.08E-024.19E-02
0.27000000008.92E-082.45E-063.21E-053.14E-033.14E-026.95E-027.31E-026.14E-025.29E-024.84E-024.63E-024.55E-024.56E-024.62E-024.72E-024.84E-024.97E-025.12E-025.27E-025.43E-025.60E-025.77E-025.94E-02
0.300000000001.18E-103.83E-091.15E-061.64E-031.86E-023.88E-024.57E-024.73E-024.83E-024.95E-025.10E-025.28E-025.47E-025.68E-025.89E-026.11E-026.34E-026.56E-026.80E-027.03E-027.26E-027.50E-02
0.3400000000008.73E-112.77E-095.95E-079.06E-049.68E-032.26E-023.29E-024.04E-024.62E-025.10E-025.53E-025.91E-026.27E-026.62E-026.95E-027.28E-027.59E-027.91E-028.22E-028.52E-028.83E-02
0.37000000000008.86E-072.11E-051.29E-049.97E-046.13E-031.63E-022.75E-023.76E-024.62E-025.36E-025.99E-026.56E-027.07E-027.54E-027.99E-028.41E-028.82E-029.21E-029.59E-029.97E-02
0.400000000000003.43E-067.77E-053.85E-041.62E-035.99E-031.50E-022.66E-023.81E-024.85E-025.77E-026.57E-027.29E-027.93E-028.52E-029.07E-029.59E-021.01E-011.05E-011.10E-01
0.4300000000000008.22E-061.80E-047.91E-042.63E-037.45E-031.66E-022.86E-024.12E-025.30E-026.37E-027.32E-028.17E-028.93E-029.63E-021.03E-011.09E-011.14E-011.20E-01
0.47000000000000001.59E-053.36E-041.38E-034.05E-039.91E-031.99E-023.28E-024.66E-025.98E-027.18E-028.26E-029.23E-021.01E-011.09E-011.16E-011.23E-011.29E-01
0.500000000000000002.71E-055.62E-042.20E-035.97E-031.33E-022.48E-023.91E-025.42E-026.88E-028.22E-029.42E-021.05E-011.15E-011.24E-011.32E-011.39E-01
Return to Figure 3


Figure 4 (Top Left Panel): The Assumption of Gaussianity
ConsumptionWealth:
0.02
Wealth:
0.09
Wealth:
0.16
Wealth:
0.23
Wealth:
0.30
Wealth:
0.37
Wealth:
0.44
Wealth:
0.51
Wealth:
0.58
Wealth:
0.65
Wealth:
0.72
Wealth:
0.79
Wealth:
0.86
Wealth:
0.93
Wealth:
1.00
0.011.83E-021.15E-041.23E-062.95E-083.76E-091.63E-091.00E-097.36E-105.85E-104.86E-104.19E-103.71E-103.36E-103.09E-102.87E-10
0.0402.98E-024.63E-032.73E-041.60E-051.29E-061.10E-071.60E-084.66E-092.24E-091.42E-091.04E-098.31E-106.96E-106.01E-10
0.0803.08E-043.68E-021.07E-021.43E-031.93E-042.25E-053.12E-064.53E-076.80E-081.45E-085.30E-092.86E-091.89E-091.40E-09
0.12004.46E-031.90E-027.61E-031.95E-033.49E-046.64E-051.22E-052.06E-063.75E-078.08E-082.24E-088.56E-094.38E-09
0.15001.06E-053.46E-026.89E-023.99E-021.20E-023.30E-037.97E-041.68E-043.60E-058.48E-062.19E-066.08E-071.78E-07
0.180003.87E-071.10E-051.93E-051.10E-054.65E-061.55E-064.20E-071.14E-073.55E-081.38E-086.75E-093.99E-09
0.220002.81E-076.11E-035.28E-026.84E-024.86E-022.32E-028.23E-032.67E-038.84E-043.04E-041.07E-043.76E-05
0.2600004.57E-055.75E-032.24E-023.01E-022.22E-021.08E-024.47E-031.80E-037.28E-042.93E-041.16E-04
0.2900009.45E-094.79E-049.24E-032.82E-023.49E-022.45E-021.34E-026.71E-033.24E-031.51E-036.80E-04
0.33000004.11E-092.69E-072.42E-065.66E-066.12E-064.59E-062.94E-061.73E-069.52E-074.94E-07
0.36000003.36E-091.18E-045.37E-032.85E-025.18E-025.60E-024.73E-023.45E-022.27E-021.36E-02
0.400000003.98E-082.26E-053.62E-041.25E-032.07E-032.40E-032.24E-031.79E-031.26E-03
0.430000004.13E-101.94E-091.14E-085.79E-081.52E-072.49E-073.06E-073.04E-072.56E-07
0.4700000006.78E-102.02E-096.20E-091.74E-083.73E-085.92E-087.36E-087.52E-08
0.5000000003.10E-108.75E-102.01E-094.50E-099.53E-091.74E-082.59E-083.16E-08
Return to Figure 4


Figure 4 (Top Right Panel): The Assumption of Gaussianity
ConsumptionWealth:
0.02
Wealth:
0.09
Wealth:
0.16
Wealth:
0.23
Wealth:
0.30
Wealth:
0.37
Wealth:
0.44
Wealth:
0.51
Wealth:
0.58
Wealth:
0.65
Wealth:
0.72
Wealth:
0.79
Wealth:
0.86
Wealth:
0.93
Wealth:
1.00
0.011.83E-025.75E-032.06E-031.30E-039.72E-047.82E-046.54E-045.60E-044.90E-044.33E-043.87E-043.47E-043.12E-042.78E-042.41E-04
0.0401.63E-021.26E-026.42E-033.52E-032.31E-031.65E-031.25E-039.87E-048.05E-046.72E-045.69E-044.85E-044.11E-043.39E-04
0.0808.08E-031.52E-021.54E-021.19E-027.15E-034.25E-032.77E-031.94E-031.44E-031.10E-038.76E-047.05E-045.65E-044.41E-04
0.12001.31E-021.59E-021.62E-021.41E-029.89E-035.99E-033.79E-032.54E-031.79E-031.32E-039.93E-047.52E-045.54E-04
0.15002.98E-031.51E-021.64E-021.62E-021.45E-021.08E-026.88E-034.36E-032.86E-031.96E-031.38E-039.82E-046.82E-04
0.180008.81E-031.60E-021.66E-021.56E-021.37E-021.03E-026.86E-034.41E-032.86E-031.90E-031.27E-038.26E-04
0.220001.74E-031.30E-021.64E-021.63E-021.47E-021.27E-029.32E-036.28E-034.03E-032.56E-031.61E-039.88E-04
0.2600004.89E-031.50E-021.64E-021.53E-021.35E-021.11E-028.01E-035.30E-033.31E-032.00E-031.16E-03
0.2900001.21E-038.76E-031.54E-021.56E-021.42E-021.21E-029.31E-036.47E-034.09E-032.41E-031.34E-03
0.33000002.89E-031.10E-021.48E-021.42E-021.24E-029.96E-037.25E-034.72E-032.77E-031.49E-03
0.36000008.98E-044.42E-031.12E-021.31E-021.21E-029.96E-037.51E-035.03E-032.99E-031.60E-03
0.400000001.74E-035.15E-039.44E-031.03E-029.08E-037.03E-034.87E-032.99E-031.62E-03
0.430000006.75E-042.27E-034.77E-036.89E-037.02E-035.87E-034.30E-032.77E-031.57E-03
0.4700000001.10E-032.43E-033.89E-034.67E-034.42E-033.53E-032.44E-031.46E-03
0.5000000005.30E-041.36E-032.34E-033.10E-033.27E-032.87E-032.14E-031.36E-03
Return to Figure 4


Figure 4 (Bottom Left Panel): The Assumption of Gaussianity
ConsumptionMarg Consumption
0.011.84E-02
0.043.47E-02
0.084.95E-02
0.123.34E-02
0.151.60E-01
0.184.85E-05
0.222.11E-01
0.269.87E-02
0.291.23E-01
0.332.52E-05
0.362.60E-01
0.401.14E-02
0.431.34E-06
0.472.72E-07
0.509.22E-08
Return to Figure 4


Figure 4 (Bottom Right Panel): The Assumption of Gaussianity
ConsumptionMarg Consumption
0.013.29E-02
0.044.84E-02
0.087.18E-02
0.128.69E-02
0.159.51E-02
0.189.92E-02
0.229.95E-02
0.269.60E-02
0.299.08E-02
0.338.14E-02
0.366.87E-02
0.405.22E-02
0.433.61E-02
0.472.40E-02
0.501.70E-02
Return to Figure 4