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Truthful Equilibria in Dynamic Bayesian Games

  • Johannes Horner
  • Satoru Takahashi
  • Nicolas Vieille

This paper characterizes an equilibrium payoff subset for Markovian games with private information as discounting vanishes. Monitoring is imperfect, transitions may depend on actions, types be correlated and values interdependent. The focus is on equilibria in which players report truthfully. The characterization generalizes that for repeated games, reducing the analysis to static Bayesian games with transfers. With correlated types, results from mechanism design apply, yielding a folk theorem. With independent private values, the restriction to truthful equilibria is without loss, except for the punishment level; if players withhold their information during punishment-like phases, a "folk" theorem obtains also.

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 786969000000000881.

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Date of creation: 24 Feb 2014
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Handle: RePEc:cla:levarc:786969000000000881
Contact details of provider: Web page: http://www.dklevine.com/

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  1. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, June.
  2. Abraham Neyman, 2005. "Existence of Optimal Strategies in Markov Games with Incomplete Information," Discussion Paper Series dp413, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  3. Cheng Wang, 2010. "Dynamic Insurance with Private Information and Balanced Budgets," Levine's Working Paper Archive 2064, David K. Levine.
  4. Obara Ichiro, 2008. "The Full Surplus Extraction Theorem with Hidden Actions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-28, March.
  5. Doepke, Matthias & Townsend, Robert M, 2004. "Dynamic Mechanism Design with Hidden Income and Hidden Auctions," CEPR Discussion Papers 4455, C.E.P.R. Discussion Papers.
  6. Claudio Mezzetti, 2004. "Mechanism Design with Interdependent Valuations: Efficiency," Econometrica, Econometric Society, vol. 72(5), pages 1617-1626, 09.
  7. Claudio Mezzetti, 2005. "Mechanism Design with Interdependent Valuations: Surplus Extraction," Discussion Papers in Economics 05/1, Department of Economics, University of Leicester, revised Mar 2006.
  8. Harold L. Cole & Narayana Kocherlakota, 1998. "Dynamic games with hidden actions and hidden states," Staff Report 254, Federal Reserve Bank of Minneapolis.
  9. Gossner, Olivier, 1995. "The Folk Theorem for Finitely Repeated Games with Mixed Strategies," International Journal of Game Theory, Springer, vol. 24(1), pages 95-107.
  10. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-65, Autumn.
  11. Fang,H. & Norman,P., 2003. "To bundle or not to bundle," Working papers 18, Wisconsin Madison - Social Systems.
  12. Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, 01.
  13. repec:rje:randje:v:37:y:2006:i:4:p:946-963 is not listed on IDEAS
  14. Wiseman, Thomas & Peski, Marcin, 2015. "A folk theorem for stochastic games with infrequent state changes," Theoretical Economics, Econometric Society, vol. 10(1), January.
  15. Bester, Helmut & Strausz, Roland, 2001. "Contracting with Imperfect Commitment and the Revelation Principle: The Single Agent Case," Econometrica, Econometric Society, vol. 69(4), pages 1077-98, July.
  16. Gossner, Olivier & Hörner, Johannes, 2010. "When is the lowest equilibrium payoff in a repeated game equal to the minmax payoff?," Journal of Economic Theory, Elsevier, vol. 145(1), pages 63-84, January.
  17. Ana Fernandes & Christopher Phelan, 1999. "A recursive formulation for repeated agency with history dependence," Staff Report 259, Federal Reserve Bank of Minneapolis.
  18. Johannes Hörner & Takuo Sugaya & Satoru Takahashi & Nicolas Vieille, 2011. "Recursive Methods in Discounted Stochastic Games: An Algorithm for δ→ 1 and a Folk Theorem," Econometrica, Econometric Society, vol. 79(4), pages 1277-1318, 07.
  19. Abreu, Dilip & Dutta, Prajit K & Smith, Lones, 1994. "The Folk Theorem for Repeated Games: A NEU Condition," Econometrica, Econometric Society, vol. 62(4), pages 939-48, July.
  20. Kosenok, Grigory & Severinov, Sergei, 2008. "Individually rational, budget-balanced mechanisms and allocation of surplus," Journal of Economic Theory, Elsevier, vol. 140(1), pages 126-161, May.
  21. Radner, Roy, 1986. "Repeated Partnership Games with Imperfect Monitoring and No Discounting," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 43-57, January.
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