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Restricted feedback in long term relationships

Listed author(s):
  • Doraszelski, Ulrich
  • Escobar, Juan F.

This paper studies long term relationships, modeled as repeated games, with restricted feedback. Players condition current play on summary statistics of past play rather than the entire history, as may be the case in online markets. Our state strategy equilibrium framework allows for arbitrary restrictions on strategies. We derive a recursive characterization for the set of equilibrium payoffs similar to that of Abreu, Pearce, and Stacchetti (1986, 1990) [2,3] for perfect public equilibria and show that the set of equilibrium payoffs is the largest fixed point of a monotone operator. We use our characterization to derive necessary and sufficient conditions for efficient trade in a repeated product choice game where costumers condition their purchase decisions only on the last performance signal.

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File URL: http://www.sciencedirect.com/science/article/pii/S0022053111001657
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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 147 (2012)
Issue (Month): 1 ()
Pages: 142-161

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Handle: RePEc:eee:jetheo:v:147:y:2012:i:1:p:142-161
DOI: 10.1016/j.jet.2011.11.013
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Harold L. Cole & Narayana R. Kocherlakota, 1997. "Dynamic games with hidden actions and hidden states," Working Papers 583, Federal Reserve Bank of Minneapolis.
  2. Glenn Ellison, 1994. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 567-588.
  3. George Mailath & Stephen Morris, "undated". ""Repeated Games with Almost-Public Monitoring''," CARESS Working Papres 99-09, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  4. Michihiro Kandori, 1992. "The Use of Information in Repeated Games with Imperfect Monitoring," Review of Economic Studies, Oxford University Press, vol. 59(3), pages 581-593.
  5. Doraszelski, Ulrich & Escobar, Juan, 2008. "A Theory of Regular Markov Perfect Equilibria in Dynamic Stochastic Games: Genericity, Stability, and Purification," CEPR Discussion Papers 6805, C.E.P.R. Discussion Papers.
  6. Mehmet Ekmekci, 2010. "Sustainable Reputations with Rating Systems," Discussion Papers 1505, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  7. Susan Athey & Kyle Bagwell, 1999. "Optimal Collusion with Private Information," Working papers 99-17, Massachusetts Institute of Technology (MIT), Department of Economics.
  8. Cole, Harold L. & Kocherlakota, Narayana R., 2005. "Finite memory and imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 53(1), pages 59-72, October.
  9. Drew Fudenberg & David Kreps & Eric Maskin, 1988. "Repeated Games with Long-Run and Short-Run Players," Working papers 474, Massachusetts Institute of Technology (MIT), Department of Economics.
  10. Wang, Cheng, 1995. "Dynamic Insurance with Private Information and Balanced Budgets," Staff General Research Papers Archive 5249, Iowa State University, Department of Economics.
  11. Daron Acemoglu & James A. Robinson, 2001. "A Theory of Political Transitions," American Economic Review, American Economic Association, vol. 91(4), pages 938-963, September.
  12. Bhaskar, V., 1994. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," Papers 9485, Tilburg - Center for Economic Research.
  13. Atkeson, Andrew, 1991. "International Lending with Moral Hazard and Risk of Repudiation," Econometrica, Econometric Society, vol. 59(4), pages 1069-1089, July.
  14. Ana Fernandes & Christopher Phelan, 1999. "A recursive formulation for repeated agency with history dependence," Staff Report 259, Federal Reserve Bank of Minneapolis.
  15. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
  16. repec:dau:papers:123456789/6381 is not listed on IDEAS
  17. 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.
  18. 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.
  19. Richard Ericson & Ariel Pakes, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," Review of Economic Studies, Oxford University Press, vol. 62(1), pages 53-82.
  20. Kenneth L. Judd & Sevin Yeltekin & James Conklin, 2003. "Computing Supergame Equilibria," Econometrica, Econometric Society, vol. 71(4), pages 1239-1254, 07.
  21. Jeffrey C. Ely & Johannes Hörner & Wojciech Olszewski, 2005. "Belief-Free Equilibria in Repeated Games," Econometrica, Econometric Society, vol. 73(2), pages 377-415, 03.
  22. Drew Fudenberg & David K. Levine, 2009. "Repeated Games with Frequent Signals," The Quarterly Journal of Economics, Oxford University Press, vol. 124(1), pages 233-265.
  23. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
  24. Hector Chade & Pavlo Prokopovych & Lones Smith, 2006. "Repeated Games with Present-Biased Preferences," Cowles Foundation Discussion Papers 1555, Cowles Foundation for Research in Economics, Yale University.
  25. Christopher Phelan & Ennio Stacchetti, 1999. "Sequential equilibria in a Ramsey tax model," Staff Report 258, Federal Reserve Bank of Minneapolis.
  26. George J. Mailath & Wojciech Olszewski, 2008. "Folk Theorems with Bounded Recall under (Almost) Perfect Monitoring, Third Version," PIER Working Paper Archive 10-007, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 02 Mar 2010.
  27. Barlo, Mehmet & Carmona, Guilherme & Sabourian, Hamid, 2009. "Repeated games with one-memory," Journal of Economic Theory, Elsevier, vol. 144(1), pages 312-336, January.
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