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Discounted Stochastic Games with Voluntary Transfers

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  • Sebastian Kranz

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

Abstract

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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Bibliographic Info

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

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

Related research

Keywords: Stochastic games; Monetary transfers; Computation; Imperfect public monitoring; Public perfect equilibria;

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References

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  1. Kenneth L. Judd & Sevin Yeltekin & James Conklin, 2003. "Computing Supergame Equilibria," Econometrica, Econometric Society, vol. 71(4), pages 1239-1254, 07.
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  3. 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.
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  8. 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.
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  11. Baliga, Sandeep & Evans, Robert, 2000. "Renegotiation in Repeated Games with Side-Payments," Games and Economic Behavior, Elsevier, vol. 33(2), pages 159-176, November.
  12. W. Bentley MacLeod & James M. Malcomson, 1986. "Implicit Contracts, Incentive Compatibility, and Involuntary Unemployment," Working Papers 585, Queen's University, Department of Economics.
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  14. 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.
  15. 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.
  16. 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.
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  18. Eric Maskin & Jean Tirole, 1997. "Markov Perfect Equilibrium, I: Observable Actions," Harvard Institute of Economic Research Working Papers 1799, Harvard - Institute of Economic Research.
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