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Comparing Sunspot Equilibrium and Lottery Equilibrium Allocations: The Finite Case

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Author Info
Garratt, Rod (U of California, Santa Barbara)
Keister, Todd (Instituto Tecnologico Autonomo de Mexico)
Shell, Karl (Cornell U)

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Abstract

Sunspot equilibrium and lottery equilibrium are two stochastic solution concepts for nonstochastic economies. Recent work by Garratt, Keister, Qin, and Shell (in press) and Kehoe, Levine, and Prescott (in press) on nonconvex exchange economies has shown that when the randomizing device is continuous, applying the two concepts to the same fundamental economy yields the same set of equilibrium allocations. In the present paper, we examine economies based on a discrete randomizing device. We extend the lottery model so that it can constrain the randomization possibilities available to agents in the same way that the sunspots model can. Every equilibrium allocation of our generalized lottery model has a corresponding sunspot equilibrium allocation. For almost all discrete randomizing devices, the converse is also true. There are exceptions, however: for some randomizing devices, there exist sunspot equilibrium allocations with no lottery equilibrium counterpart.

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Paper provided by Cornell University, Center for Analytic Economics in its series Working Papers with number 02-07.

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Date of creation: Jul 2002
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Handle: RePEc:ecl:corcae:02-07

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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.:
  1. Edward S. Prescott & Robert M. Townsend, 2000. "Firms as clubs in Walrasian markets with private information," Working Paper 00-08, Federal Reserve Bank of Richmond. [Downloadable!]
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  2. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November. [Downloadable!] (restricted)
  3. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April. [Downloadable!] (restricted)
  4. Berentsen, Aleksander & Molico, Miguel & Wright, Randall, 2002. "Indivisibilities, Lotteries, and Monetary Exchange," Journal of Economic Theory, Elsevier, vol. 107(1), pages 70-94, November. [Downloadable!] (restricted)
  5. Garratt, Rod, 1995. "Decentralizing Lottery Allocations in Markets with Indivisible Commodities," Economic Theory, Springer, vol. 5(2), pages 295-313, March.
  6. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January. [Downloadable!] (restricted)
  7. Shell, Karl & Wright, Randall, 1993. "Indivisibilities, Lotteries, and Sunspot Equilibria," Economic Theory, Springer, vol. 3(1), pages 1-17, January.
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  8. Timothy J. Kehoe & David K. Levine & Edward Prescott, 2000. "Lotteries, Sunspots and Incentive Constraints," Levine's Working Paper Archive 1974, David K. Levine. [Downloadable!]
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  1. Prescott, Edward & Shell, Karl, 2002. "Introduction to Sunspots and Lotteries," Working Papers 02-08, Cornell University, Center for Analytic Economics. [Downloadable!]
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  2. Guillaume Rocheteau & Peter Rupert & Karl Shell & Randall Wright, 2005. "General equilibrium with nonconvexities, sunspots, and money," Working Paper 0513, Federal Reserve Bank of Cleveland. [Downloadable!]
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  3. Jinpeng Ma & Fusheng Nie, 2002. "Walrasian Equilibrium in an Exchange Economy with Indivisibilities," Departmental Working Papers 200207, Rutgers University, Department of Economics. [Downloadable!]
  4. Guillaume Rocheteau & Peter Rupert & Randall Wright, 2007. "Inflation and Unemployment in General Equilibrium," University of California at Santa Barbara, Economics Working Paper Series 07-07, Department of Economics, UC Santa Barbara. [Downloadable!]
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