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A Folk Theorem for Bargaining Games

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  • Herings P.J.J.
  • Meshalkin A.
  • Predtetchinski A.

    (METEOR)

Abstract

We study strategies with one–period recall in the context of a general class of multilateralbargaining games. A strategy has one–period recall if actions in a particular period are onlyconditioned on information in the previous and the current period. We show that if players aresufficiently patient, given any proposal in the space of possible agreements, there exists asubgame perfect equilibrium such that the given proposal is made and unanimously accepted inperiod zero. Our strategies are pure and have one–period recall, and we do not make use of apublic randomization device. The players’ discount factors are allowed to be heterogeneous.

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Bibliographic Info

Paper provided by Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR) in its series Research Memorandum with number 056.

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Date of creation: 2012
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Handle: RePEc:unm:umamet:2012056

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Keywords: microeconomics ;

References

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  1. Tasos Kalandrakis, 2004. "Regularity of Pure Strategy Equilibrium Points in a Class of Bargaining Games," Wallis Working Papers WP37, University of Rochester - Wallis Institute of Political Economy.
  2. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  3. Friedman, James W, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Wiley Blackwell, vol. 38(113), pages 1-12, January.
  4. V. Bhaskar & George J. Mailath & Stephen Morris, 2012. "A Foundation for Markov Equilibria in Infinite Horizon Perfect Information Games," PIER Working Paper Archive 12-043, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  5. Johannes Hörnerx & Wojciech Olszewski, 2009. "How Robust Is the Folk Theorem?," The Quarterly Journal of Economics, MIT Press, vol. 124(4), pages 1773-1814, November.
  6. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
  7. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2007. "One-dimensional Bargaining with Markov Recognition Probabilities," Research Memorandum 044, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  8. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
  9. Binmore, K. & Osborne, M.J. & Rubinstein, A., 1989. "Noncooperative Models Of Bargaining," Papers 89-26, Michigan - Center for Research on Economic & Social Theory.
  10. Merlo, Antonio & Wilson, Charles A, 1995. "A Stochastic Model of Sequential Bargaining with Complete Information," Econometrica, Econometric Society, vol. 63(2), pages 371-99, March.
  11. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "The Folk Theorem for Irreducible Stochastic Games with Imperfect Public Monitoring," Scholarly Articles 8896226, Harvard University Department of Economics.
  12. Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
  13. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
  14. Ehud Lehrer & Ady Pauzner, 1999. "Repeated Games with Differential Time Preferences," Econometrica, Econometric Society, vol. 67(2), pages 393-412, March.
  15. Chen, Bo, 2008. "On effective minimax payoffs and unequal discounting," Economics Letters, Elsevier, vol. 100(1), pages 105-107, July.
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