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The Structure of Equilibrium in an Asset Market with Variable Supply

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Abstract

We characterize the structure of Nash equilibria in asset market games with variable asset supply. In equilibrium, di®erent assets have dif- ferent returns, and (risk neutral) investors with di®erent wealth hold portfolios with di®erent structures. In equilibrium, an asset's return is inversely related to the elasticity of its supply. The larger an in- vestor, the more diversi¯ed is his portfolio. Smaller investors do not hold all the assets, but achieve higher percentage returns. More gen- erally, our results can be applied also to other \multi-market games" in which several players compete in several arenas simultaneously, like multi-market Cournot oligopolies, or multiple rent-seeking games.

Suggested Citation

  • Manfred Nermuth, 2008. "The Structure of Equilibrium in an Asset Market with Variable Supply," Vienna Economics Papers 0804, University of Vienna, Department of Economics.
  • Handle: RePEc:vie:viennp:0804
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    References listed on IDEAS

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    1. Ania, Ana B., 2008. "Evolutionary stability and Nash equilibrium in finite populations, with an application to price competition," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 472-488, March.
    2. Alos-Ferrer, Carlos & Ania, Ana B., 2005. "The asset market game," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 67-90, February.
    3. Dubey, Pradeep & Geanakoplos, John, 2003. "From Nash to Walras via Shapley-Shubik," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 391-400, July.
    4. Carlos Alós-Ferrer & Ana Ania, 2005. "The evolutionary stability of perfectly competitive behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 497-516, October.
    5. Hens, Thorsten & Reimann, Stefan & Vogt, Bodo, 2004. "Nash competitive equilibria and two-period fund separation," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 321-346, June.
    6. Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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