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Repeated Games Played in a Network

  • Markus Kinateder

    (Universitat Autònoma de Barcelona)

Delayed perfect monitoring in an infinitely repeated discounted game is modelled by allocating the players to a connected and undirected network. Players observe their immediate neighbors’ behavior only, but communicate over time the repeated game’s history truthfully throughout the network. The Folk Theorem extends to this setup, although for a range of discount factors strictly below 1, the set of sequential equilibria and the corresponding payoff set may be reduced. A general class of games is analyzed without imposing restrictions on the dimensionality of the payoff space. Due to this and the bilateral communication structure, truthful communication arises endogenously only under additional conditions. The model also produces a network result; namely, the level of cooperation in this setup depends on the network’s diameter, and not on its clustering coefficient as in other models.

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Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2008.22.

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Date of creation: Mar 2008
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Handle: RePEc:fem:femwpa:2008.22
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  1. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July.
  2. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
  3. Fernando Vega-Redondo & Matteo Marsili & Frantisek Slanina, 2005. "Clustering, Cooperation, and Search in Social Networks," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 628-638, 04/05.
  4. Renault, J. & Tomala, T., 1997. "Repeated Proximity Games," Papiers d'Economie Mathématique et Applications 97.14, Université Panthéon-Sorbonne (Paris 1).
  5. Takahashi, Satoru & Levine, David & Fudenberg, Drew, 2007. "Perfect Public Equilibrium When Players Are Patient," Scholarly Articles 3196336, Harvard University Department of Economics.
  6. Lippert, Steffen & Spagnolo, Giancarlo, 2004. "Networks of Relations," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 28, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  7. Ben-Porath, Elchanan & Kahneman, Michael, 2003. "Communication in repeated games with costly monitoring," Games and Economic Behavior, Elsevier, vol. 44(2), pages 227-250, August.
  8. Abreu, Dilip & Dutta, Prajit K & Smith, Lones, 1994. "The Folk Theorem for Repeated Games: A NEU Condition," Econometrica, Econometric Society, vol. 62(4), pages 939-48, July.
  9. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
  10. Ben-Porath, Elchanan & Kahneman, Michael, 1996. "Communication in Repeated Games with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 70(2), pages 281-297, August.
  11. Lippert, Steffen & Spagnolo, Giancarlo, 2005. "Networks of Relations and Social Capital," CEPR Discussion Papers 5078, C.E.P.R. Discussion Papers.
  12. Drew Fudenberg & David K. Levine & Eric Maskin, 1994. "The Folk Theorem with Imperfect Public Information," Levine's Working Paper Archive 394, David K. Levine.
  13. Michihiro Kandori, 2001. "Introduction to Repeated Games with Private Monitoring," CIRJE F-Series CIRJE-F-114, CIRJE, Faculty of Economics, University of Tokyo.
  14. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
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