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Increasing returns and optimal oscillating labor supply Author info | Abstract | Publisher info | Download info | Related research | Statistics William D. Dupor
Andreas Lehnert
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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.
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Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series Finance and Economics Discussion Series with number
2002-22.
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Date of creation: 2002Date of revision:
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Keywords: Econometric models ; Labor supply ; This paper has been announced in the following NEP Reports :
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.: Jang-Ting Guo & Kevin Lansing, 1999.
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