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Repeated Games Played in a Network

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Author Info
Markus Kinateder (Universitat Autònoma de Barcelona)

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Abstract

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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Related research
Keywords: Repeated Game; Delayed Perfect Monitoring; Network; Communication;

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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  1. Kandori, Michihiro, 2002. "Introduction to Repeated Games with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 1-15, January. [Downloadable!] (restricted)
  2. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
  3. 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. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
  6. Drew Fudenberg & David K. Levine & Eric Maskin, 1994. "The Folk Theorem with Imperfect Public Information," Levine's Working Paper Archive 394, David K. Levine. [Downloadable!]
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  7. Drew Fudenberg & David K. Levine & Satoru Takahashi, 2004. "Perfect Public Equilibrium When Players Are Patient," Harvard Institute of Economic Research Working Papers 2051, Harvard - Institute of Economic Research. [Downloadable!]
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  8. 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. [Downloadable!] (restricted)
  9. Lippert, Steffen & Spagnolo, Giancarlo, 2005. "Networks of Relations and Social Capital," CEPR Discussion Papers 5078, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  11. JÊrÆme Renault & Tristan Tomala, 1998. "Repeated proximity games," International Journal of Game Theory, Springer, vol. 27(4), pages 539-559. [Downloadable!] (restricted)
  12. 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. [Downloadable!] (restricted)
  13. Renault, J. & Tomala, T., 1997. "Repeated Proximity Games," Papiers d'Economie Mathématique et Applications 97.14, Université Panthéon-Sorbonne (Paris 1).
  14. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July. [Downloadable!] (restricted)
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