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Strategic behavior in financial markets

  • Kannai, Yakar
  • Rosenmüller, Joachim
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    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.

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    Article provided by Elsevier in its journal Journal of Mathematical Economics.

    Volume (Year): 46 (2010)
    Issue (Month): 2 (March)
    Pages: 148-162

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    Handle: RePEc:eee:mateco:v:46:y:2010:i:2:p:148-162
    Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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    1. 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.
    2. Gaël Giraud & Hubert Stahn, 2008. "On Shapley–Shubik equilibria with financial markets," Economic Theory, Springer, vol. 35(3), pages 469-496, June.
    3. Tsomocos, Dimitrios P., 2003. "Equilibrium analysis, banking and financial instability," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 619-655, July.
    4. Charles A.E. Goodhart & Pojanart Sunirand & Dimitrios P. Tsomocos, 2004. "A Model to Analyse Financial Fragility: Applications," OFRC Working Papers Series 2004fe05, Oxford Financial Research Centre.
    5. 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.
    6. Dubey, Pradeep & Shapley, Lloyd S., 1994. "Noncooperative general exchange with a continuum of traders: Two models," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 253-293, May.
    7. Pradeep Dubey & John Geanakoplos, 2003. "Monetary Equilibrium with Missing Markets," Cowles Foundation Discussion Papers 1389, Cowles Foundation for Research in Economics, Yale University.
    8. Geanakoplos, J. & Karatzas, I. & Shubik, M. & Sudderth, W., 2000. "A strategic market game with active bankruptcy," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 359-396, November.
    9. Gaetano Bloise & J. H. Dreze & H. M. Polemarchakis, 2003. "Monetary Equilibria over an Infinite Horizon," Discussion Papers 03-19, University of Copenhagen. Department of Economics.
    10. 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.
    11. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
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