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Bilateral commitment

Listed author(s):
  • Bade, Sophie
  • Haeringer, Guillaume
  • Renou, Ludovic

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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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
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Armo Gomes & Philippe Jehiel, 2001. "Dynamic Processes of Social and Economic Interactions: On the Persistence of Inefficiencies," Penn CARESS Working Papers 76ff153ae29996d16c454e473, Penn Economics Department.
  2. Sophie Bade & Guillaume Haeringer & Ludovic Renou, 2005. "More Strategies, More Nash Equilibria," School of Economics Working Papers 2005-01, University of Adelaide, School of Economics.
  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. 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.
  5. 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.
  6. 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.
  7. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
  8. Yildirim, Huseyin, 2005. "Contests with multiple rounds," Games and Economic Behavior, Elsevier, vol. 51(1), pages 213-227, April.
  9. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  10. Oliver Hart & John Moore, 2004. "Agreeing Now to Agree Later: Contracts that Rule Out but do not Rule In," Harvard Institute of Economic Research Working Papers 2032, Harvard - Institute of Economic Research.
  11. Guillermo Caruana & Liran Einav, 2008. "A Theory of Endogenous Commitment," Review of Economic Studies, Oxford University Press, vol. 75(1), pages 99-116.
  12. AMIR, Rabah & GRILO, Isabel, "undated". "Stackelberg versus Cournot equilibrium," CORE Discussion Papers RP 1368, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  13. James A. Brander & Barbara J. Spencer, 1984. "Export Subsidies and International Market Share Rivalry," NBER Working Papers 1464, National Bureau of Economic Research, Inc.
  14. Renou, Ludovic, 2009. "Commitment games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 488-505, May.
  15. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
  16. Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," Review of Economic Studies, Oxford University Press, vol. 58(2), pages 259-276.
  17. 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.
  18. Varian, Hal R., 1994. "Sequential contributions to public goods," Journal of Public Economics, Elsevier, vol. 53(2), pages 165-186, February.
  19. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April.
  20. Moulin, Herve, 1984. "Dominance solvability and cournot stability," Mathematical Social Sciences, Elsevier, vol. 7(1), pages 83-102, February.
  21. 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.
  22. 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.
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