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Discounted Stochastic Games with Voluntary Transfers

  • Sebastian Kranz

    (Dept. of Economics, University of Bonn, Institute for Energy Economics, University of Cologne)

This paper studies discounted stochastic games perfect or imperfect public monitoring and the opportunity to conduct voluntary monetary transfers. We show that for all discount factors every public perfect equilibrium payoff can be implemented with a simple class of equilibria that have a stationary structure on the equilibrium path and optimal penal codes with a stick and carrot structure. We develop algorithms that exactly compute or approximate the set of equilibrium payoffs and find simple equilibria that implement these payoffs.

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File URL: http://cowles.econ.yale.edu/P/cd/d18a/d1847.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1847.

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Length: 32 pages
Date of creation: Jan 2012
Date of revision:
Handle: RePEc:cwl:cwldpp:1847
Contact details of provider: Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/

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Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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  1. Goldluecke, Susanne & Kranz, Sebastian, 2010. "In?nitely Repeated Games with Public Monitoring and Monetary Transfers," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 332, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  2. Eric Maskin & Jean Tirole, 1997. "Markov Perfect Equilibrium, I: Observable Actions," Harvard Institute of Economic Research Working Papers 1799, Harvard - Institute of Economic Research.
  3. Andrew T. Ching, 2010. "A Dynamic Oligopoly Structural Model For The Prescription Drug Market After Patent Expiration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(4), pages 1175-1207, November.
  4. Joseph E Harrington & Jr Andrzej Skrzypacz, 2004. "Collusion under Monitoring of Sales," Economics Working Paper Archive 509, The Johns Hopkins University,Department of Economics, revised Mar 2005.
  5. Gautam Gowrisankaran & Robert J. Town, 1997. "Dynamic Equilibrium in the Hospital Industry," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(1), pages 45-74, 03.
  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. Katherine Doornik, 2006. "Relational Contracting in Partnerships," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(2), pages 517-548, 06.
  8. Luis Rayo, 2007. "Relational Incentives and Moral Hazard in Teams," Review of Economic Studies, Oxford University Press, vol. 74(3), pages 937-963.
  9. Klimenko, Mikhail & Ramey, Garey & Watson, Joel, 2008. "Recurrent trade agreements and the value of external enforcement," Journal of International Economics, Elsevier, vol. 74(2), pages 475-499, March.
  10. Kenneth L. Judd & Sevin Yeltekin & James Conklin, 2003. "Computing Supergame Equilibria," Econometrica, Econometric Society, vol. 71(4), pages 1239-1254, 07.
  11. W. Bentley MacLeod & James M. Malcomson, 1986. "Implicit Contracts, Incentive Compatibility, and Involuntary Unemployment," Working Papers 585, Queen's University, Department of Economics.
  12. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "The Folk Theorem for Irreducible Stochastic Games with Imperfect Public Monitoring," Scholarly Articles 8896226, Harvard University Department of Economics.
  13. C. Lanier Benkard, 2000. "Learning and Forgetting: The Dynamics of Aircraft Production," American Economic Review, American Economic Association, vol. 90(4), pages 1034-1054, September.
  14. Baliga, Sandeep & Evans, Robert, 2000. "Renegotiation in Repeated Games with Side-Payments," Games and Economic Behavior, Elsevier, vol. 33(2), pages 159-176, November.
  15. Kranz, Sebastian & Ohlendorf, Susanne, 2009. "Renegotiation-Proof Relational Contracts with Side Payments," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 259, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  16. Jonathan Levin, 2002. "Multilateral Contracting And The Employment Relationship," The Quarterly Journal of Economics, MIT Press, vol. 117(3), pages 1075-1103, August.
  17. David Besanko & Ulrich Doraszelski & Yaroslav Kryukov & Mark Satterthwaite, 2010. "Learning-by-Doing, Organizational Forgetting, and Industry Dynamics," Econometrica, Econometric Society, vol. 78(2), pages 453-508, 03.
  18. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
  19. Fong, Yuk-fai & Surti, Jay, 2009. "The optimal degree of cooperation in the repeated Prisoners' Dilemma with side payments," Games and Economic Behavior, Elsevier, vol. 67(1), pages 277-291, September.
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