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Characterizing Belief-Free Review-Strategy Equilibrium Payoffs under ConditionalIndependence

  • Yuichi Yamamoto

    ()

    (Department of Economics, University of Pennsylvania)

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    This paper proposes and studies a tractable subset of Nash equilibria, belief-free review-strategy equilibria, in repeated games with private monitoring. The payoff set of this class of equilibria is characterized in the limit as the discount factor converges to one for games where players observe statistically independent signals. As an application, we develop a simple sufficient condition for the existence of asymptotically efficient equilibria, and establish a folk theorem for N-player prisoner’s dilemma. All these results are robust to a perturbation of the signal distribution, and hence remain true even under almost-independent monitoring.

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    File URL: http://economics.sas.upenn.edu/system/files/12-005.pdf
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    Paper provided by Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 12-005.

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    Length: 74 pages
    Date of creation: 22 Feb 2012
    Date of revision:
    Handle: RePEc:pen:papers:12-005
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    1. Hitoshi Matsushima, 2004. "Repeated Games with Private Monitoring: Two Players," Econometrica, Econometric Society, vol. 72(3), pages 823-852, 05.
    2. Jeffrey C. Ely & Johannes Horner & Wojciech Olszewski, 2003. "Belief-free Equilibria in Repeated Games," Levine's Working Paper Archive 666156000000000367, David K. Levine.
    3. Michihiro Kandori & Hitoshi Matsushima, 1997. "Private observation and Communication and Collusion," Levine's Working Paper Archive 1256, David K. Levine.
    4. Johannes Horner & Wojciech Olszewski, 2005. "The Folk Theorem for Games with Private, Almost-Perfect Monitoring," NajEcon Working Paper Reviews 172782000000000006, www.najecon.org.
    5. Joseph E. Harrington & Andrzej Skrzypacz, 2011. "Private Monitoring and Communication in Cartels: Explaining Recent Collusive Practices," American Economic Review, American Economic Association, vol. 101(6), pages 2425-49, October.
    6. Ichiro Obara, 2005. "Folk Theorem with Communication," UCLA Economics Online Papers 366, UCLA Department of Economics.
    7. Eiichi Miyagawa & Yasuyuki Miyahara & Tadashi Sekiguchi, 2003. "Repeated Games with Observation Costs," Discussion Papers 0203-14, Columbia University, Department of Economics.
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