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The role of information in repeated games with frequent actions

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Author Info
Yuliy Sannikov
Andrzej Skrzypacz () (GSB Stanford University)

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Abstract

We show that the ways incentives can be provided during dynamic interaction depend very crucially on the manner in which players learn information. This conclusion is established in a general stationary environment with noisy public monitoring and frequent actions. The monitoring process can be represented by a sum of a multi-dimensional Brownian component and a jump process. We show that jumps can be used to provide incentives both with transfers and value burning while continuous information can be used to provide incentives only with transfers. Also, it is asymptotically optimal to use the cumulative realization of the Brownian component linearly. Additionally, we approximate the equilibrium payoff set for fixed small discount rates as the periods become short by a series of linear programming problems. These problems highlight how the two types of information can be used to provide incentives.

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Publisher Info
Paper provided by Society for Economic Dynamics in its series 2006 Meeting Papers with number 871.

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Date of creation: 03 Dec 2006
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Handle: RePEc:red:sed006:871

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Related research
Keywords: repeated games dynamic incentives frequent moves

Find related papers by 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
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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  1. BIAIS, Bruno & MARIOTTI, Thomas & ROCHET, Jean-Charles & VILLENEUVE, Stéphane, 2007. "Accident Risk, Limited Liability and Dynamic Moral Hazard," IDEI Working Papers 472, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
  2. Drew Fudenberg & David K Levine, 2007. "Repeated Games with Frequent Signals," Levine's Working Paper Archive 814577000000000009, UCLA Department of Economics. [Downloadable!]
  3. Drew Fudenberg & David K Levine, 2007. "Continuous Time Limits of Repeated Games with Imperfect Public Monitoring," Levine's Working Paper Archive 699152000000000028, UCLA Department of Economics. [Downloadable!]
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