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Bilateral commitment

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  • Bade, Sophie
  • Haeringer, Guillaume
  • Renou, Ludovic

Abstract

We consider non-cooperative environments in which two players have the power to gradually and unilaterally rule out some of their actions. Formally, we embed a strategic-form game into a multi-stage game, in which players can restrict their action spaces in all but the final stage, and select among the remaining actions in the last stage. We say that an action profile is implementable by commitment if this action profile is played in the last stage of a subgame-perfect equilibrium path. We provide a complete characterization of all implementable action profiles and a simple method to find them. It turns out that the set of implementable profiles does not depend on the length of the commitment process. We show, furthermore, that commitments can have social value in the sense that in some games there are implementable action profiles that dominate all Nash equilibria of the original game.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 144 (2009)
Issue (Month): 4 (July)
Pages: 1817-1831

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Handle: RePEc:eee:jetheo:v:144:y:2009:i:4:p:1817-1831

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Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords: Commitment Self-enforcing Pareto-improvement;

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References

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  1. Oliver Hart & John Moore, 2004. "AGREEING NOW TO AGREE LATER: Contracts that Rule Out but do not Rule In," STICERD - Theoretical Economics Paper Series /2004/472, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
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  7. Ben Lockwood & Jonathan P. Thomas, 1999. "Gradualism and Irreversibility," CSGR Working papers series 28/99, Centre for the Study of Globalisation and Regionalisation (CSGR), University of Warwick.
  8. Matthew O. Jackson & Simon Wilkie, 2002. "Endogenous Games and Mechanisms: Side Payments Among Players," Microeconomics 0211008, EconWPA.
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  10. James A. Brander & Barbara J. Spencer, 1984. "Export Subsidies and International Market Share Rivalry," NBER Working Papers 1464, National Bureau of Economic Research, Inc.
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  12. Admati, Anat R & Perry, Motty, 1991. "Joint Projects without Commitment," Review of Economic Studies, Wiley Blackwell, vol. 58(2), pages 259-76, April.
  13. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
  14. Moulin, Herve, 1984. "Dominance solvability and cournot stability," Mathematical Social Sciences, Elsevier, vol. 7(1), pages 83-102, February.
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  16. Harris, Christopher & Reny, Philip & Robson, Arthur, 1995. "The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization," Econometrica, Econometric Society, vol. 63(3), pages 507-44, May.
  17. Bade, Sophie & Haeringer, Guillaume & Renou, Ludovic, 2007. "More strategies, more Nash equilibria," Journal of Economic Theory, Elsevier, vol. 135(1), pages 551-557, July.
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Citations

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Cited by:
  1. repec:hal:wpaper:halshs-00564890 is not listed on IDEAS
  2. Conley, John P. & Neilson, William, 2009. "Endogenous games and equilibrium adoption of social norms and ethical constraints," Games and Economic Behavior, Elsevier, vol. 66(2), pages 761-774, July.
  3. Heller, Yuval & Winter, Eyal, 2013. "Rule Rationality," MPRA Paper 48746, University Library of Munich, Germany.
  4. Rohan Dutta & Ryosuke Ishii, 2013. "Coordinating by Not Committing : Efficiency as the Unique Outcome," Cahiers de recherche 10-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  5. Jianpei Li & Paul Schweinzer, 2013. "Efficiency in strategic form games: A little trust can go a long way," Discussion Papers 13/19, Department of Economics, University of York.
  6. Frédéric Koessler & Ariane Lambert-Mogiliansky, 2010. "Committing to transparency to resist corruption," PSE Working Papers halshs-00564890, HAL.
  7. Nie, Pu-yan, 2013. "Duopoly quality commitment," Economic Modelling, Elsevier, vol. 33(C), pages 832-842.

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