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Simple Economies with Multiple Equilibria

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  • Bergstrom, Ted C
  • Shimomura, Ken-Ichi
  • Yamato, Takehiko

Abstract

This paper studies a general class of pure exchange economies that have multiple equilibria, which extend an example presented by Lloyd Shapley and Martin Shubik. For such economies, we find easily verified conditions that determine whether there are multiple equilibria. We also provide simple methods for constructing economies in which arbitrary pre-specified sets of prices are equilibria. These economies have simple comparative statics, since prices at interior competitive equilibrium depend on the parameters of utility but not on the endowment quantities.

Suggested Citation

  • Bergstrom, Ted C & Shimomura, Ken-Ichi & Yamato, Takehiko, 2008. "Simple Economies with Multiple Equilibria," University of California at Santa Barbara, Economics Working Paper Series qt6qv909xs, Department of Economics, UC Santa Barbara.
    • Handle: RePEc:cdl:ucsbec:qt6qv909xs
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    References listed on IDEAS

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    1. Shapley, Lloyd S & Shubik, Martin, 1977. "An Example of a Trading Economy with Three Competitive Equilibria," Journal of Political Economy, University of Chicago Press, vol. 85(4), pages 873-875, August.
    2. Kumar, Alok & Shubik, Martin, 2003. "A computational analysis of core convergence in a multiple equilibria economy," Games and Economic Behavior, Elsevier, vol. 42(2), pages 253-266, February.
    3. Gjerstad, S., 1996. "Multiple Equilibria in Exchange Economies with Homothetic, Nearly Identical Preferences," Papers 288, Minnesota - Center for Economic Research.
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    Cited by:

    1. Sean Crockett & Ryan Oprea & Charles Plott, 2011. "Extreme Walrasian Dynamics: The Gale Example in the Lab," American Economic Review, American Economic Association, vol. 101(7), pages 3196-3220, December.
    2. Juergen Huber & Martin Shubik & Shyam Sunder, 2009. "Default Penalty as a Disciplinary and Selection Mechanism in Presence of Multiple Equilibria," Cowles Foundation Discussion Papers 1730, Cowles Foundation for Research in Economics, Yale University.
    3. Norman, Thomas W.L., 2020. "Market selection with an endogenous state," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 51-59.
    4. Huber, Juergen & Shubik, Martin & Sunder, Shyam, 2016. "Default penalty as a selection mechanism among multiple equilibria," Journal of Behavioral and Experimental Finance, Elsevier, vol. 9(C), pages 20-38.
    5. Giménez, Eduardo L., 2022. "Offer curves and uniqueness of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    6. Juergen Huber & Martin Shubik & Shyam Sunder, 2011. "Default Penalty as a Selection Mechanism Among Multiple," Levine's Working Paper Archive 786969000000000060, David K. Levine.

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