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

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Author Info
Guilherme Carmona

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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://129.3.20.41/eps/game/papers/0402/0402003.pdf
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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
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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://129.3.20.41

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

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  2. 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. [Downloadable!]
  3. Goldman, Steven M, 1980. "Consistent Plans," Review of Economic Studies, Blackwell Publishing, vol. 47(3), pages 533-37, April. [Downloadable!] (restricted)
  4. Peleg, Bezalel & Yaari, Menahem E, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Blackwell Publishing, vol. 40(3), pages 391-401, July. [Downloadable!] (restricted)
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