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Repeated proximity games

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  • JÊrÆme Renault

    ()
    (CERMSEM, UniversitÊ Paris 1, PanthÊon-Sorbonne, 106-112 Bd de l'HÆpital, F-75647 Paris Cedex 13, France)

  • Tristan Tomala

    ()
    (CERMSEM, UniversitÊ Paris 1, PanthÊon-Sorbonne, 106-112 Bd de l'HÆpital, F-75647 Paris Cedex 13, France)

Abstract

We consider repeated games with complete information and imperfect monitoring, where each player is assigned a fixed subset of players and only observes the moves chosen by the players in this subset. This structure is naturally represented by a directed graph. We prove that a generalized folk theorem holds for any payoff function if and only if the graph is 2-connected, and then extend this result to the context of finitely repeated games.

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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 27 (1998)
Issue (Month): 4 ()
Pages: 539-559

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Handle: RePEc:spr:jogath:v:27:y:1998:i:4:p:539-559

Note: Received June 1997/Revised version March 1998
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Related research

Keywords: Repeated games · Folk theorem · imperfect monitoring · graphs;

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Cited by:
  1. Renault, Jérôme & Tomala, Tristan, 2004. "Communication equilibrium payoffs in repeated games with imperfect monitoring," Economics Papers from University Paris Dauphine 123456789/6103, Paris Dauphine University.
  2. Yair Goldberg, 2003. "On the Minmax of Repeated Games with Imperfect Monitoring: A Computational Example," Discussion Paper Series dp345, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  3. Jérôme Renault & Tristan Tomala, 2011. "General Properties of Long-Run Supergames," Dynamic Games and Applications, Springer, vol. 1(2), pages 319-350, June.
  4. Joyee Deb & Julio González Díaz & Jérôme Renault, 2013. "Uniform Folk Theorems in Repeated Anonymous Random Matching Games," Working Papers, New York University, Leonard N. Stern School of Business, Department of Economics 13-16, New York University, Leonard N. Stern School of Business, Department of Economics.
  5. Laclau, M., 2013. "Repeated games with local monitoring and private communication," Economics Letters, Elsevier, vol. 120(2), pages 332-337.
  6. Laclau, Marie, 2012. "A folk theorem for repeated games played on a network," Games and Economic Behavior, Elsevier, vol. 76(2), pages 711-737.
  7. Markus Kinateder, 2006. "Repeated Games Played in a Network," UFAE and IAE Working Papers 674.06, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  8. Renault, Jérôme & Tomala, Tristan, 2004. "Learning the state of nature in repeated games with incomplete information and signals," Economics Papers from University Paris Dauphine 123456789/6115, Paris Dauphine University.
  9. Nava, Francesco & Piccione, Michele, 2014. "Efficiency in repeated games with local interaction and uncertain local monitoring," Theoretical Economics, Econometric Society, Econometric Society, vol. 9(1), January.
  10. Tomala, Tristan, 2009. "Perfect Communication Equilibria in Repeated Games with Imperfect Monitoring," Economics Papers from University Paris Dauphine 123456789/6102, Paris Dauphine University.
  11. Tomala, Tristan, 2009. "Perfect communication equilibria in repeated games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 67(2), pages 682-694, November.
  12. Olivier Gossner & Rida Laraki & Tristan Tomala, 2004. "Maxmin computation and optimal correlation in repeated games with signals," Working Papers hal-00242940, HAL.
  13. Francesco Nava & Michele Piccione, 2012. "Efficiency in repeated games with local interaction and uncertain local monitoring," LSE Research Online Documents on Economics 54250, London School of Economics and Political Science, LSE Library.

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