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Repeated Games with Frequent Signals

  • Fudenberg, Drew
  • Levine, David

We study repeated games with frequent actions and frequent imperfect public signals, where the signals are aggregates of many discrete events, such as sales or tasks. The high-frequency limit of the equilibrium set depends both on the probability law governing the discrete events and on how many events are aggregated into a single signal. When the underlying events have a binomial distribution, the limit equilibria correspond to the equilibria of the associated continuous-time game with diffusion signals, but other event processes that aggregate to a diffusion limit can have a different set of limit equilibria. Thus the continuous-time game need not be a good approximation of the high-frequency limit when the underlying events have three or more possible values.

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File URL: http://dash.harvard.edu/bitstream/handle/1/3160491/fudenberg_repeatedgames.pdf
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Paper provided by Harvard University Department of Economics in its series Scholarly Articles with number 3160491.

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Date of creation: 2009
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Publication status: Published in Quarterly Journal of Economics
Handle: RePEc:hrv:faseco:3160491
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Web page: http://www.economics.harvard.edu/

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  1. Klein, Benjamin & Leffler, Keith B, 1981. "The Role of Market Forces in Assuring Contractual Performance," Journal of Political Economy, University of Chicago Press, vol. 89(4), pages 615-41, August.
  2. Kandori, Michihiro, 1992. "The Use of Information in Repeated Games with Imperfect Monitoring," Review of Economic Studies, Wiley Blackwell, vol. 59(3), pages 581-93, July.
  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. Yuliy Sannikov & Andrzej Skrzypacz, 2007. "Impossibility of Collusion under Imperfect Monitoring with Flexible Production," American Economic Review, American Economic Association, vol. 97(5), pages 1794-1823, December.
  5. Hellwig, Martin & Schmidt, Klaus M., 2001. "Discrete-Time Approximations of the Holmström-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision," Sonderforschungsbereich 504 Publications 01-52, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  6. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  7. Jonathan Levin, 2000. "Relational Incentive Contracts," Working Papers 01002, Stanford University, Department of Economics.
  8. Yuliy Sannikov & Andrzej Skrzypacz, 2010. "The Role of Information in Repeated Games With Frequent Actions," Econometrica, Econometric Society, vol. 78(3), pages 847-882, 05.
  9. D. Fudenberg & D. M. Kreps & E. Maskin, 1998. "Repeated Games with Long-run and Short-run Players," Levine's Working Paper Archive 608, David K. Levine.
  10. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796, March.
  11. Drew Fudenberg & David K Levine, 2007. "A Large Deviation Theorem for Triangular Arrays," Levine's Working Paper Archive 814577000000000002, David K. Levine.
  12. Leo K. Simon and Maxwell B. Stinchcombe., 1987. "Extensive Form Games in Continuous Time: Pure Strategies," Economics Working Papers 8746, University of California at Berkeley.
  13. Eduardo Faingold & Yuliy Sannikov, 2007. "Equilibrium Degeneracy and Reputation Effects," NajEcon Working Paper Reviews 843644000000000216, www.najecon.org.
  14. Radner, Roy & Myerson, Roger & Maskin, Eric, 1986. "An Example of a Repeated Partnership Game with Discounting and with Uniformly Inefficient Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 59-69, January.
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