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Comparing Sunspot Equilibrium And Lottery Equilibrium Allocations: The Finite Case

Author

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  • Rod Garratt
  • Todd Keister
  • Karl Shell

Abstract

Sunspot equilibrium and lottery equilibrium are two stochastic solution concepts for nonstochastic economies. We compare these concepts in a class of completely finite, (possibly) nonconvex exchange economies with perfect markets, which requires extending the lottery model to the finite case. Every equilibrium allocation of our lottery model is also a sunspot equilibrium allocation. The converse is almost always true. There are exceptions, however: For some economies, there exist sunspot equilibrium allocations with no lottery equilibrium counterpart. Copyright 2004 by the Economics Department Of The University Of Pennsylvania And Osaka University Institute Of Social And Economic Research Association.

Suggested Citation

  • Rod Garratt & Todd Keister & Karl Shell, 2004. "Comparing Sunspot Equilibrium And Lottery Equilibrium Allocations: The Finite Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 351-386, May.
    • Handle: RePEc:ier:iecrev:v:45:y:2004:i:2:p:351-386
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    Cited by:

    1. Guillaume Rocheteau & Peter Rupert & Karl Shell & Randall Wright, 2005. "General equilibrium with nonconvexities, sunspots, and money," Working Papers (Old Series) 0513, Federal Reserve Bank of Cleveland.
    2. Kokonas, Nikolaos & Monteiro, Paulo Santos, 2021. "Aggregation in economies with search frictions," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    3. Prescott, Edward C. & Shell, Karl, 2002. "Introduction to Sunspots and Lotteries," Journal of Economic Theory, Elsevier, vol. 107(1), pages 1-10, November.
    4. Ma, Jinpeng & Nie, Fusheng, 2003. "Walrasian equilibrium in an exchange economy with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 46(2), pages 159-192, October.
    5. Rocheteau, Guillaume & Rupert, Peter & Shell, Karl & Wright, Randall, 2008. "General equilibrium with nonconvexities and money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 294-317, September.
    6. Guillaume Rocheteau & Peter Rupert & Randall Wright, 2007. "Inflation and Unemployment in General Equilibrium," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(4), pages 837-855, December.
    7. Hoelle, Matthew, 2014. "The relation between sunspot effects and multiplicity in incomplete markets models with numeraire assets," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 119-127.

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