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Robustness of sunspot equilibria

Author

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  • Karl Shell

    (Department of Economics, Cornell University, 402 Uris Hall, Ithaca NY 14853-7601, USA)

  • Aditya Goenka

    (Department of Economics, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, UK)

Abstract

A sunspot equilibrium (SSE) is based on some extrinsic randomizing device (RD). We analyze the robustness of SSE. (1) We say that an SSE allocation is robust to refinements if it is also an SSE allocation based on any refinement of its RD. (2) We introduce two core concepts for analyzing the robustness of SSE in the face of cooperative-coalition formation. In the first, the blocking allocations are based on the RD that defines the SSE. In the second (stronger) core concept, coalitions select their own RDs. For the convex economy with restricted market participation, SSE allocations are robust under each of the definitions and the cores converge on replication of the economy to the set of SSE allocations. For the economy with an indivisible good, SSE allocations are not always robust. We provide examples of each of the following: (i) an SSE allocation that is not robust to refinement, (ii) an SSE allocation that is in neither core, (iii) an SSE allocation that is in the first core, but not in the second, and (iv) a core that does not converge upon replication to the set of SSE allocations.

Suggested Citation

  • Karl Shell & Aditya Goenka, 1997. "Robustness of sunspot equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 79-98.
    • Handle: RePEc:spr:joecth:v:10:y:1997:i:1:p:79-98
    Note: Received: July 31, 1995; revised version August 30, 1996
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    Citations

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    Cited by:

    1. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
    2. Garratt, Rod & Keister, Todd & Qin, Cheng-Zhong & Shell, Karl, 2002. "Equilibrium Prices When the Sunspot Variable Is Continuous," Journal of Economic Theory, Elsevier, vol. 107(1), pages 11-38, November.
    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. 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.
    5. Chatterji, Shurojit & Chattopadhyay, Subir, 2006. "Functional sunspot equilibria," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 22-35, February.
    6. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    7. repec:cdl:ucsbec:12-99 is not listed on IDEAS
    8. Bhattacharya, Joydeep & Guzman, Mark G. & Shell, Karl, 1998. "Price Level Volatility: A Simple Model of Money Taxes and Sunspots," Journal of Economic Theory, Elsevier, vol. 81(2), pages 401-430, August.
    9. repec:fth:calaec:12-99 is not listed on IDEAS
    10. de Clippel, Geoffroy, 2007. "The type-agent core for exchange economies with asymmetric information," Journal of Economic Theory, Elsevier, vol. 135(1), pages 144-158, July.
    11. Garratt, Rod & Keister, Todd, 2002. "A Characterization of Robust Sunspot Equilibria," Journal of Economic Theory, Elsevier, vol. 107(1), pages 136-144, November.
    12. Aditya Goenka & Stefano Matta, 2008. "Manipulation of endowments and sunspot equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(2), pages 267-282, August.

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