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Chaos, Sunspots, and Automatic Stabilizers
Lawrence J. Christiano
Northwestern University; Federal Reserve Bank of Cleveland; Federal Reserve Bank of Chicago; Federal Reserve Bank of Minneapolis; National Bureau of Economic Research (NBER)
Sharon G. Harrison
Columbia University, Barnard College - Department of Economics
August 1996
NBER Working Paper No. w5703
Abstract:
We study a one-sector growth model which is standard except for the presence of an externality in the production function. The set of competitive equilibria is large. It includes constant equilibria, sunspot equilibria, cyclical and chaotic equilibria, and equilibria with deterministic or stochastic regime switching. The efficient allocation is characterized by constant employment and a constant growth rate. We identify an income tax-subsidy schedule that supports the efficient allocation as the unique equilibrium outcome. That schedule has two properties: (i) it specifies the tax rate to be an increasing function of aggregate employment, and (ii) earnings are subsidized when aggregate employment is at its efficient level. The first feature eliminates inefficient, fluctuating equilibria, while the second induces agents to internalize the externality.
Number of Pages in PDF File: 66
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Date posted: October 15, 1996
Suggested CitationChristiano, Lawrence J. and Harrison, Sharon G., Chaos, Sunspots, and Automatic Stabilizers (August 1996). NBER Working Paper No. w5703. Available at SSRN: http://ssrn.com/abstract=3485
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