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Truthful Equilibria in Dynamic Bayesian Games

  • Johannes Horner
  • Satoru Takahashi
  • Nicolas Vieille

This paper characterizes an equilibrium payoff subset for dynamic Bayesian games as discounting vanishes. Monitoring is imperfect, transitions may depend on actions, types may be correlated and values may be 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 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.

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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. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "The Folk Theorem for Irreducible Stochastic Games with Imperfect Public Monitoring," Scholarly Articles 8896226, Harvard University Department of Economics.
  2. Cheng Wang, 2010. "Dynamic Insurance with Private Information and Balanced Budgets," Levine's Working Paper Archive 2064, David K. Levine.
  3. Fang, Hanming & Norman, Peter, 2005. "To Bundle or Not to Bundle," Microeconomics.ca working papers norman-05-06-10-08-19-02, Vancouver School of Economics, revised 10 Jun 2005.
  4. Ichiro Obara, 2007. "The Full Surplus Extraction Theorem with Hidden Actions," Levine's Bibliography 843644000000000137, UCLA Department of Economics.
  5. Harold L. Cole & Narayana R. Kocherlakota, 1997. "Dynamic games with hidden actions and hidden states," Working Papers 583, Federal Reserve Bank of Minneapolis.
  6. 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.
  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. 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.
  9. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
  10. Doepke, Matthias & Townsend, Robert M., 2006. "Dynamic mechanism design with hidden income and hidden actions," Journal of Economic Theory, Elsevier, vol. 126(1), pages 235-285, January.
  11. Claudio Mezzetti, 2004. "Mechanism Design with Interdependent Valuations: Efficiency," Econometrica, Econometric Society, vol. 72(5), pages 1617-1626, 09.
  12. 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.
  13. Hörner, Johannes & Takahashi, Satoru & Vieille, Nicolas, 2014. "On the limit perfect public equilibrium payoff set in repeated and stochastic games," Games and Economic Behavior, Elsevier, vol. 85(C), pages 70-83.
  14. Susan Athey & Kyle Bagwell, 1999. "Optimal Collusion with Private Information," Working papers 99-17, Massachusetts Institute of Technology (MIT), Department of Economics.
  15. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476.
  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. Fudenberg, Drew & Levine, David I & Maskin, Eric, 1994. "The Folk Theorem with Imperfect Public Information," Econometrica, Econometric Society, vol. 62(5), pages 997-1039, September.
  18. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-57, November.
  19. Gossner, Olivier, 1995. "The Folk Theorem for Finitely Repeated Games with Mixed Strategies," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(1), pages 95-107.
  20. Abraham Neyman, 2008. "Existence of optimal strategies in Markov games with incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(4), pages 581-596, December.
  21. 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.
  22. repec:rje:randje:v:37:y:2006:i:4:p:946-963 is not listed on IDEAS
  23. Wiseman, Thomas & Peski, Marcin, 2015. "A folk theorem for stochastic games with infrequent state changes," Theoretical Economics, Econometric Society, vol. 10(1), January.
  24. 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.
  25. Cheng Wang, 1995. "Dynamic Insurance with Private Information and Balanced Budgets," Review of Economic Studies, Oxford University Press, vol. 62(4), pages 577-595.
  26. Roy Radner, 1986. "Repeated Partnership Games with Imperfect Monitoring and No Discounting," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 43-57.
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