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Bilateral commitment

Author

Listed:
  • 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.

Suggested Citation

  • Bade, Sophie & Haeringer, Guillaume & Renou, Ludovic, 2009. "Bilateral commitment," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1817-1831, July.
  • Handle: RePEc:eee:jetheo:v:144:y:2009:i:4:p:1817-1831
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    1. Armando Gomes & Philippe Jehiel, 2005. "Dynamic Processes of Social and Economic Interactions: On the Persistence of Inefficiencies," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 626-667, June.
    2. Bade, Sophie & Haeringer, Guillaume & Renou, Ludovic, 2007. "More strategies, more Nash equilibria," Journal of Economic Theory, Elsevier, vol. 135(1), pages 551-557, July.
    3. 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.
    4. 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.
    5. Ben Lockwood & Jonathan P. Thomas, 2002. "Gradualism and Irreversibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(2), pages 339-356.
    6. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    7. Dixit, Avinash, 1980. "The Role of Investment in Entry-Deterrence," Economic Journal, Royal Economic Society, vol. 90(357), pages 95-106, March.
    8. Matthew O. Jackson & Simon Wilkie, 2005. "Endogenous Games and Mechanisms: Side Payments Among Players," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 543-566.
    9. Ben Lockwood & Jonathan P. Thomas, 2002. "Gradualism and Irreversibility," Review of Economic Studies, Oxford University Press, vol. 69(2), pages 339-356.
    10. Yildirim, Huseyin, 2005. "Contests with multiple rounds," Games and Economic Behavior, Elsevier, vol. 51(1), pages 213-227, April.
    11. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    12. Oliver Hart & John Moore, 2004. "Agreeing Now to Agree Later: Contracts that Rule Out but do not Rule In," Edinburgh School of Economics Discussion Paper Series 109, Edinburgh School of Economics, University of Edinburgh.
    13. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    14. Guillermo Caruana & Liran Einav, 2008. "A Theory of Endogenous Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 99-116.
    15. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
    16. Renou, Ludovic, 2009. "Commitment games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 488-505, May.
    17. Brander, James A. & Spencer, Barbara J., 1985. "Export subsidies and international market share rivalry," Journal of International Economics, Elsevier, vol. 18(1-2), pages 83-100, February.
    18. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    19. Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 259-276.
    20. Baldwin, Richard E. & Krugman, Paul, 2004. "Agglomeration, integration and tax harmonisation," European Economic Review, Elsevier, vol. 48(1), pages 1-23, February.
    21. Bernheim, B Douglas & Whinston, Michael D, 1998. "Incomplete Contracts and Strategic Ambiguity," American Economic Review, American Economic Association, vol. 88(4), pages 902-932, September.
    22. Varian, Hal R., 1994. "Sequential contributions to public goods," Journal of Public Economics, Elsevier, vol. 53(2), pages 165-186, February.
    23. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April.
    24. Wilson, John Douglas, 1999. "Theories of Tax Competition," National Tax Journal, National Tax Association;National Tax Journal, vol. 52(2), pages 269-304, June.
    25. Pradeep Dubey, 1986. "Inefficiency of Nash Equilibria," Mathematics of Operations Research, INFORMS, vol. 11(1), pages 1-8, February.
    26. George R. Zodrow & Peter Mieszkowski, 2019. "Pigou, Tiebout, Property Taxation, and the Underprovision of Local Public Goods," World Scientific Book Chapters, in: George R Zodrow (ed.), TAXATION IN THEORY AND PRACTICE Selected Essays of George R. Zodrow, chapter 17, pages 525-542, World Scientific Publishing Co. Pte. Ltd..
    27. Moulin, Herve, 1984. "Dominance solvability and cournot stability," Mathematical Social Sciences, Elsevier, vol. 7(1), pages 83-102, February.
    28. Wilson, John Douglas, 1999. "Theories of Tax Competition," National Tax Journal, National Tax Association, vol. 52(n. 2), pages 269-304, June.
    29. 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 507-544, May.
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    Cited by:

    1. Dutta, Rohan & Ishii, Ryosuke, 2016. "Dynamic commitment games, efficiency and coordination," Journal of Economic Theory, Elsevier, vol. 163(C), pages 699-727.
    2. Koessler, Frédéric & Lambert-Mogiliansky, Ariane, 2013. "Committing to transparency to resist corruption," Journal of Development Economics, Elsevier, vol. 100(1), pages 117-126.
    3. Halpern, Joe & Heller, Yuval & Winter, Eyal, 2022. "The Benefits of Coarse Preferences," MPRA Paper 111670, University Library of Munich, Germany.
    4. Grégoire Rota-Graziosi, 2016. "Implementing Tax Coordination and Harmonization through Voluntary Commitment," Working Papers halshs-01332058, HAL.
    5. Renou, Ludovic, 2009. "Commitment games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 488-505, May.
    6. Yuval Heller & Eyal Winter, 2016. "Rule Rationality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(3), pages 997-1026, August.
    7. Nie, Pu-yan, 2013. "Duopoly quality commitment," Economic Modelling, Elsevier, vol. 33(C), pages 832-842.
    8. Tomala, Tristan & Koessler, Frederic & Laclau, Marie, 2018. "Interactive Information Design," HEC Research Papers Series 1260, HEC Paris, revised 02 May 2018.
    9. Miettinen, Topi & Perea, Andrés, 2015. "Commitment in alternating offers bargaining," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 12-18.
    10. 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.
    11. 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.
    12. 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.
    13. Tigran Melkonyan & Surajeet Chakravarty, 2024. "Pre‐play promises, threats and commitments under partial credibility," Economic Inquiry, Western Economic Association International, vol. 62(1), pages 308-328, January.
    14. Pei, Harry Di, 2016. "When does restricting your opponent's freedom hurt you?," Games and Economic Behavior, Elsevier, vol. 100(C), pages 234-239.

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    More about this item

    Keywords

    Commitment Self-enforcing Pareto-improvement;

    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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