Finance and Economics Discussion Series (FEDS)
May 2002
Increasing Returns and Optimal Oscillating Labor Supply
William D. Dupor and Andreas Lehnert
Abstract:
Models featuring increasing returns to scale in at least one factor of production have been used to study two separate phenomena: (1) multiplicity of self-fulfilling rational expectations equilibria (i.e. sunspots), and (2) production schedules that optimally feature bunching. We show in a continuous-time model with increasing returns to labor (IRL) that if the economy features multiple competitive equilibria, the optimal path of investment, employment and consumption cannot be constant, or even smoothly-varying. Any macroeconomic policies that shielded the economy from sunspot fluctuations would necessarily not be optimal. We then characterize the optimal allocation (the solution to the planner's problem) in a discrete time version of the model. We find that the optimal investment, employment and consumption policies under increasing returns can feature (1) discontinuous jumps, (2) endogenous cycles (with time-varying cycle limits) and (3) stochastic controls (lotteries). Our discrete-time model is very close to that studied by Christiano and Harrison (1999); they, however find that fluctuations are not optimal. We show that this difference is driven by their assumption that production is linear in capital.
Full paper (757 KB Postscript)Keywords: Increasing returns, externalities, fluctuations, lotteries
PDF: Full Paper
Disclaimer: The economic research that is linked from this page represents the views of the authors and does not indicate concurrence either by other members of the Board's staff or by the Board of Governors. The economic research and their conclusions are often preliminary and are circulated to stimulate discussion and critical comment. The Board values having a staff that conducts research on a wide range of economic topics and that explores a diverse array of perspectives on those topics. The resulting conversations in academia, the economic policy community, and the broader public are important to sharpening our collective thinking.