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Commitment games

  • Renou, Ludovic

This paper explores how the ability to commit in games affect equilibrium payoffs. More precisely, we consider two-stage games, called commitment games, in which players can commit to some of their strategies in the first stage, and play the game induced by their commitment in the second stage. We completely characterize equilibrium payoffs of commitment games. Among others, we show that the power to commit in finitely repeated games as, for instance, finitely repeated prisoner's dilemma games, can lead to efficiency even though the constituent game does not satisfy the assumptions of Benoît and Krishna [1987. Nash equilibria of finitely repeated games. Int. J. Game Theory 16, 197-204].

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File URL: http://www.sciencedirect.com/science/article/B6WFW-4SM1TF7-1/2/a2a8d3b651e8c88817250658be0087af
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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 66 (2009)
Issue (Month): 1 (May)
Pages: 488-505

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Handle: RePEc:eee:gamebe:v:66:y:2009:i:1:p:488-505
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  2. McKelvey, Richard D. & McLennan, Andrew, 1996. "Computation of equilibria in finite games," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 2, pages 87-142 Elsevier.
  3. Echenique, Federico, 2004. "Extensive-form games and strategic complementarities," Games and Economic Behavior, Elsevier, vol. 46(2), pages 348-364, February.
  4. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
  5. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, June.
  6. Gonzalez-Diaz, Julio, 2006. "Finitely repeated games: A generalized Nash folk theorem," Games and Economic Behavior, Elsevier, vol. 55(1), pages 100-111, April.
  7. Wilkie, Simon & Jackson, Matthew O., 2002. "Endogenous Games and Mechanisms: Side Payments Among Players," Working Papers 1150, California Institute of Technology, Division of the Humanities and Social Sciences.
  8. John Geanakoplos & Chien-fu Chou, 1988. "The Power of Commitment," Cowles Foundation Discussion Papers 885, Cowles Foundation for Research in Economics, Yale University.
  9. Itzhak Gilboa & Eitan Zemel, 1988. "Nash and Correlated Equilibria: Some Complexity Considerations," Discussion Papers 777, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Adam Tauman Kalai & Ehud Kalai & Dov Samet, 2007. "Voluntary Commitments Lead to Efficiency," Discussion Papers 1444, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. van Damme, E.E.C. & Hurkens, J.P.M., 1993. "Commitment robust equilibria and endogenous timing," Discussion Paper 1993-56, Tilburg University, Center for Economic Research.
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