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Finite State Equilibria in Dynamic Games

  • Michihiro Kandori
  • Ichiro Obara

An equilibrium in an infinite horizon game is called a finite state equilibrium, if each player's action on the equilibrium path is given by an automaton with a finite state space. We provide a complete characterization of this class of equilibria and provide a recursive computational method to check the equilibrium conditions. This encompasses the majority of existing works on repeated games with private monitoring.

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File URL: https://www.economicdynamics.org/meetpapers/2007/paper_253.pdf
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Paper provided by Society for Economic Dynamics in its series 2007 Meeting Papers with number 253.

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Date of creation: 2007
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Handle: RePEc:red:sed007:253
Contact details of provider: Postal: Society for Economic Dynamics Christian Zimmermann Economic Research Federal Reserve Bank of St. Louis PO Box 442 St. Louis MO 63166-0442 USA
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Web page: http://www.EconomicDynamics.org/society.htm
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  1. Michihiro Kandori & Ichiro Obara, 2003. "Efficiency in Repeated Games Revisited: The Role of Private Strategies," UCLA Economics Working Papers 826, UCLA Department of Economics.
  2. V. Bhaskar & Ichiro Obara, . "Belief-Based Equilibria in the Repeated Prisoners' Dilemma with Private Monitoring," Penn CARESS Working Papers d93eb6f40c65728f9e1a7b114, Penn Economics Department.
  3. Christopher Phelan & Andrzej Skrzypacz, 2006. "Private monitoring with infinite histories," Staff Report 383, Federal Reserve Bank of Minneapolis.
  4. Johannes Hörner & Wojciech Olszewski, 2006. "The Folk Theorem for Games with Private Almost-Perfect Monitoring," Econometrica, Econometric Society, vol. 74(6), pages 1499-1544, November.
  5. Hitoshi Matsushima, 2004. "Repeated Games with Private Monitoring: Two Players," Econometrica, Econometric Society, vol. 72(3), pages 823-852, 05.
  6. Jeffrey C. Ely & Johannes Hörner & Wojciech Olszewski, 2005. "Belief-Free Equilibria in Repeated Games," Econometrica, Econometric Society, vol. 73(2), pages 377-415, 03.
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