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Repeated Games Played in a Network

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Abstract

Delayed perfect monitoring in an infinitely repeated discounted game is modelled by letting the players form 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. This and the bilateral communication structure allow for limited results under strategic communication only. As a by-product this model 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.

Suggested Citation

  • 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).
  • Handle: RePEc:aub:autbar:674.06
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    References listed on IDEAS

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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.
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    Cited by:

    1. Itay P. Fainmesser & David A. Goldberg, 2011. "Bilateral and Community Enforcement in a Networked Market with Simple Strategies," Working Papers 2011-2, Brown University, Department of Economics.
    2. Markus Kinateder, 2013. "Delayed perfect monitoring in repeated games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 283-294, February.
    3. Nava, Francesco & Piccione, Michele, 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.
    4. Nava, Francesco & Piccione, Michele, 2011. "Efficiency in repeated two-action games with local monitoring," LSE Research Online Documents on Economics 58062, London School of Economics and Political Science, LSE Library.
    5. Laclau, M., 2014. "Communication in repeated network games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 87(C), pages 136-160.
    6. Francesco Nava & Michele Piccione, 2011. "Efficiency in Repeated Two-Action Games with Local Monitoring," STICERD - Theoretical Economics Paper Series 560, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    7. Itay P. Fainmesser, 2012. "Community Structure and Market Outcomes: A Repeated Games-in-Networks Approach," American Economic Journal: Microeconomics, American Economic Association, vol. 4(1), pages 32-69, February.
    8. Nava, Francesco & Piccione, Michele, 2014. "Efficiency in repeated games with local interaction and uncertain local monitoring," Theoretical Economics, Econometric Society, vol. 9(1), January.

    More about this item

    Keywords

    Repeated Game; Network; Delayed Perfect Monitoring; Communication;

    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
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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