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Equilibrium Outcomes of Repeated Two-Person, Zero-Sum Games

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  • Guilherme Carmona

Abstract

We consider repeated two-person, zero-sum games in which the preferences in the repeated game depend on the stage-game preferences, although not necessarily in a time-consistent way. We assume that each player's repeated game payoff function at each period of time is strictly increasing on the stage game payoffs and that the repeated game is itself a zero-sum game in every period. Under these assumptions, we show that an outcome is a subgame perfect outcome if and only if all its components are Nash equilibria of the stage game.

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File URL: http://128.118.178.162/eps/game/papers/0402/0402003.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 0402003.

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Length: 14 pages
Date of creation: 11 Feb 2004
Date of revision:
Handle: RePEc:wpa:wuwpga:0402003

Note: Type of Document - pdf; prepared on winxp; to print on general; pages: 14; figures: 1. none
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Web page: http://128.118.178.162

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Keywords: Repeated two-person; zero-sum games; time-inconsistent preferences;

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  1. Goldman, Steven M, 1980. "Consistent Plans," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 533-37, April.
  2. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  3. Narayana R. Kocherlakota., 2001. "Looking for evidence of time-inconsistent preferences in asset market data," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Sum, pages 13-24.
  4. Peleg, Bezalel & Yaari, Menahem E, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Wiley Blackwell, vol. 40(3), pages 391-401, July.
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