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Strategic behavior in financial markets

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  • Kannai, Yakar
  • Rosenmüller, Joachim

Abstract

We describe a financial market as a noncooperative game in strategic form. Agents may borrow or deposit money at a central bank and use the cash available to them in order to purchase a commodity for immediate consumption. They derive positive utility from consumption and from having cash reserves at the end of the day, whereas being bankrupt entails negative utility. The bank fixes interest rates. The existence of Nash equilibria (both mixed and pure) of the ensuing game is proved under various assumptions. In particular, no agent is bankrupt at equilibrium. Asymptotic behavior of replica markets is discussed, and it is shown that given appropriate assumptions, the difference between a strategic player and a price taker is negligible in a large economy.

Suggested Citation

  • Kannai, Yakar & Rosenmüller, Joachim, 2010. "Strategic behavior in financial markets," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 148-162, March.
  • Handle: RePEc:eee:mateco:v:46:y:2010:i:2:p:148-162
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    References listed on IDEAS

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    1. Gaetano Bloise & Jacques Dréze & Herakles Polemarchakis, 2005. "Monetary equilibria over an infinite horizon," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(1), pages 51-74, January.
    2. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2000. "Default in a General Equilibrium Model with Incomplete Markets," Cowles Foundation Discussion Papers 1247, Cowles Foundation for Research in Economics, Yale University.
    3. Dubey, Pradeep & Geanakoplos, John, 2003. "Monetary equilibrium with missing markets," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 585-618, July.
    4. M. Shubik & D. Tsomocos, 1992. "A strategic market game with a mutual bank with fractional reserves and redemption in gold," Journal of Economics, Springer, vol. 55(2), pages 123-150, June.
    5. Gaël Giraud & Hubert Stahn, 2008. "On Shapley–Shubik equilibria with financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 469-496, June.
    6. Martin Shubik & Ward Whitt, 1973. "Fiat Money in an Economy with One Nondurable Good and No Credit (A Noncooperative Sequential Game)," Cowles Foundation Discussion Papers 355, Cowles Foundation for Research in Economics, Yale University.
    7. Tsomocos, Dimitrios P., 2003. "Equilibrium analysis, banking and financial instability," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 619-655, July.
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    10. Goodhart, Charles A. E. & Sunirand, Pojanart & Tsomocos, Dimitrios P., 2004. "A model to analyse financial fragility: applications," Journal of Financial Stability, Elsevier, vol. 1(1), pages 1-30, September.
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    Cited by:

    1. Villena, Marcelo J. & Reus, Lorenzo, 2016. "On the strategic behavior of large investors: A mean-variance portfolio approach," European Journal of Operational Research, Elsevier, vol. 254(2), pages 679-688.
    2. Smith, Eric & Shubik, Martin, 2011. "Endogenizing the provision of money: Costs of commodity and fiat monies in relation to the value of trade," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 508-530.

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