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Public Monitoring with Uncertainty in the Time Repetitions

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  • Osório Costa, Antonio Miguel

Abstract

This paper study repeated games where the time repetitions of the stage game are not known or controlled by the players. We call this feature random monitoring. Kawamori's (2004) shows that perfect random monitoring is always better than the canonical case. Surprisingly, when the monitoring is public, the result is less clear-cut and does not generalize in a straightforward way. Unless the public signals are sufficiently informative about player's actions and/or players are patient enough. In addition to a discount effect, that tends to consistently favor the provision of incentives, we found an information effect, associated with the time uncertainty on the distribution of public signals. Whether payoff improvements are or not possible, depends crucially on the direction and strength of these effects. JEL: C73, D82, D86. KEYWORDS: Repeated Games, Frequent Monitoring, Random Public Monitoring, Moral Hazard, Stochastic Processes.

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Paper provided by Universitat Rovira i Virgili, Department of Economics in its series Working Papers with number 2072/179668.

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Date of creation: 2011
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Handle: RePEc:urv:wpaper:2072/179668

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Keywords: Teoria de jocs; 33 - Economia; 65 - Gestió i organització. Administració i direcció d'empreses. Publicitat. Relacions públiques. Mitjans de comunicació de masses;

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  1. Edward J Green & Robert H Porter, 1997. "Noncooperative Collusion Under Imperfect Price Information," Levine's Working Paper Archive 1147, David K. Levine.
  2. Skrzypacz, Andrzej & Sannikov, Yuliy, 2005. "Impossibility of Collusion under Imperfect Monitoring with Flexible Production," Research Papers 1887, Stanford University, Graduate School of Business.
  3. David G. Pearce & Dilip Abreu & Paul R. Milgrom, 1988. "Information and Timing in Repeated Partnerships," Cowles Foundation Discussion Papers 875, Cowles Foundation for Research in Economics, Yale University.
  4. Drew Fudenberg & David Levine, 2007. "Continuous Time Limits of Repeated Games with Imperfect Public Monitoring," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(2), pages 173-192, April.
  5. Yuliy Sannikov, 2007. "Games with Imperfectly Observable Actions in Continuous Time," Econometrica, Econometric Society, vol. 75(5), pages 1285-1329, 09.
  6. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
  7. Kawamori, Tomohiko, 2004. "Uncertainty of time intervals and possibility of collusion in infinitely repeated games," Economics Letters, Elsevier, vol. 83(3), pages 355-358, June.
  8. Drew Fudenberg & David K. Levine, 2009. "Repeated Games with Frequent Signals-super-," The Quarterly Journal of Economics, MIT Press, vol. 124(1), pages 233-265, February.
  9. Drew Fudenberg & David K Levine, 2007. "Repeated Games with Frequent Signals," Levine's Working Paper Archive 814577000000000009, David K. Levine.
  10. Porter, Robert H., 1983. "Optimal cartel trigger price strategies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 313-338, April.
  11. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796, September.
  12. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
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