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Bilateral Commitment

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Author Info
Sophie Bade
Guillaume Haeringer
Ludovic Renou ()

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Abstract

We consider non-cooperative environments in which two players have the power to commit but cannot sign binding agreements. We show that by committing to a set of actions rather than to a single action, players can implement a wide range of action profiles. We give a complete characterization of implementable profiles and provide a simple method to find them. Profiles implementable by bilateral commitments are shown to be generically inefficient. Surprisingly, allowing for gradualism (i.e., step by step commitment) does not change the set of implementable profiles.

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File URL: http://www.le.ac.uk/economics/research/RePEc/lec/leecon/dp08-20.pdf
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Publisher Info
Paper provided by Department of Economics, University of Leicester in its series Discussion Papers in Economics with number 08/20.

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Date of creation: Jun 2008
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Handle: RePEc:lec:leecon:08/20

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Related research
Keywords: Commitment; self-enforcing; generic inefficiency; agreements; Pareto-improvement;

Other versions of this item:

Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
H87 - Public Economics - - Miscellaneous Issues - - - International Fiscal Issues; International Public Goods

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References listed on IDEAS
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    Other versions:
  2. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401.
    Other versions:
  3. Bernheim, B Douglas & Whinston, Michael D, 1998. "Incomplete Contracts and Strategic Ambiguity," American Economic Review, American Economic Association, vol. 88(4), pages 902-32, September. [Downloadable!] (restricted)
    Other versions:
  4. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January. [Downloadable!] (restricted)
  5. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April. [Downloadable!] (restricted)
    Other versions:
  6. Matthew O. Jackson & Simon Wilkie, 2005. "Endogenous Games and Mechanisms: Side Payments Among Players," Review of Economic Studies, Blackwell Publishing, vol. 72(2), pages 543-566, 04. [Downloadable!] (restricted)
    Other versions:
  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.
    Other versions:
  8. Romano, Richard & Yildirim, Huseyin, 2005. "On the endogeneity of Cournot-Nash and Stackelberg equilibria: games of accumulation," Journal of Economic Theory, Elsevier, vol. 120(1), pages 73-107, January. [Downloadable!] (restricted)
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  10. Moulin, Herve, 1984. "Dominance solvability and cournot stability," Mathematical Social Sciences, Elsevier, vol. 7(1), pages 83-102, February. [Downloadable!] (restricted)
  11. Sophie Bade & Guillaume Haeringer & Ludovic Renou, 2005. "More strategies, more Nash equilibria," Game Theory and Information 0502001, EconWPA. [Downloadable!]
    Other versions:
  12. 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. [Downloadable!] (restricted)
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  15. Zodrow, George R. & Mieszkowski, Peter, 1986. "Pigou, Tiebout, property taxation, and the underprovision of local public goods," Journal of Urban Economics, Elsevier, vol. 19(3), pages 356-370, May. [Downloadable!] (restricted)
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