Frequent Monitoring in Repeated Games under Brownian Uncertainty
Abstract
This paper studies frequent monitoring in a simple infinitely repeated game with imperfect public information and discounting, where players observe the state of a continuous time Brownian process at moments in time of length Δ. It shows that efficient strongly symmetric perfect public equilibrium payoffs can be achieved with imperfect public monitoring when players monitor each other at the highest frequency, i.e. Δ→0. The approach proposed places distinct initial conditions on the process, which depend on the unknown action profile simultaneously and privately decided by the players at the beginning of each period of the game. The strong decreasing effect on the expected immediate gains from deviation when the interval between actions shrinks, and the associated increase precision of the public signals, make the result possible in the limit. The existence of a positive monotonic relation between payoffs and monitoring intensity is also found.Download Info
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 13104.Length:
Date of creation: 04 Jan 2009
Date of revision:
Handle: RePEc:pra:mprapa:13104
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Related research
Keywords: Repeated Games; Frequent Monitoring; Imperfect Public Monitoring; Brownian Motion; Moral Hazard;Find related papers by JEL classification:
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-02-07 (All new papers)
- NEP-CTA-2009-02-07 (Contract Theory & Applications)
- NEP-GTH-2009-02-07 (Game Theory)
References
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