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The folk theorem for repeated games with observation costs

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  • Miyagawa, Eiichi
  • Miyahara, Yasuyuki
  • Sekiguchi, Tadashi
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    Abstract

    The folk theorem literature has been relaxing the assumption on how much players know about each other's past action. Here we consider a general model where players can "buy" precise information. Every period, each player decides whether to pay a cost to accurately observe the actions chosen by other players in the previous period. When a player does not pay the cost, he obtains only imperfect private signals. Observational decisions are unobservable to others. Known strategies such as trigger strategies do not work since they fail to motivate players to pay for information. This paper shows that the folk theorem holds for any level of observation costs. Unlike existing folk theorems with private monitoring, ours imposes virtually no restriction on the nature of costless imperfect signals. The theorem does not use explicit or costless communication, thereby having implications on antitrust laws that rely on evidence of explicit communication. The main message is that accurate observation alone, however costly, enables efficient cooperation in general repeated games.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Economic Theory.

    Volume (Year): 139 (2008)
    Issue (Month): 1 (March)
    Pages: 192-221

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    Handle: RePEc:eee:jetheo:v:139:y:2008:i:1:p:192-221

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    Web page: http://www.elsevier.com/locate/inca/622869

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    Citations

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    Cited by:
    1. Yasuyuki Miyahara & Tadashi Sekiguchi, 2011. "Finitely Repeated Games with Monitoring Options," Discussion Papers 2011-44, Kobe University, Graduate School of Business Administration.
    2. Fujiwara-Greve, Takako & Okuno-Fujiwara, Masahiro & Suzuki, Nobue, 2012. "Voluntarily separable repeated Prisonerʼs Dilemma with reference letters," Games and Economic Behavior, Elsevier, vol. 74(2), pages 504-516.
    3. Miklós-Thal, Jeanine & Schumacher, Heiner, 2013. "The value of recommendations," Games and Economic Behavior, Elsevier, vol. 79(C), pages 132-147.
    4. Yamamoto, Yuichi, 2012. "Characterizing belief-free review-strategy equilibrium payoffs under conditional independence," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1998-2027.
    5. Miyahara, Yasuyuki & Sekiguchi, Tadashi, 2013. "Finitely repeated games with monitoring options," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1929-1952.

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