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Rationalizability and equilibrium in N-person sequential bargaining

Author

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  • Vincent J. Vannetelbosch

    (CORE, University of Louvain, Louvain-la-Neuve, BELGIUM)

Abstract

This paper deals with N-person sequential bargaining games with complete information. For N-person sequential bargaining games, uniqueness of the SPE has been obtained by allowing the players to exit with partial agreements. Adopting a non-equilibrium approach, we show that N-person sequential bargaining games with exit are solvable by a refinement of rationalizability for multi-stage games (trembling-hand rationalizability) whatever the impatience of the players. That is, once we adopt the non-equilibrium approach, the exit opportunity still fulfils its original aim: we achieve a unique solution by introducing the exit opportunity. Moreover, this unique solution is the unique SPE.

Suggested Citation

  • Vincent J. Vannetelbosch, 1999. "Rationalizability and equilibrium in N-person sequential bargaining," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(2), pages 353-371.
    • Handle: RePEc:spr:joecth:v:14:y:1999:i:2:p:353-371
    Note: Received: October 30, 1996; revised version: July 7, 1998
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    Cited by:

    1. Jiawei Li & Tianxiang Cui & Graham Kendall, 2022. "Equilibrium in a Bargaining Game of Two Sellers and Two Buyers," Mathematics, MDPI, vol. 10(15), pages 1-9, July.
    2. Roberto Serrano & Sandeep Baliga, 2001. "Multilateral negotiations with private side-deals: a multiplicity example," Economics Bulletin, AccessEcon, vol. 3(1), pages 1-7.
    3. P. Jean-Jacques Herings & Ana Mauleon & Vincent Vannetelbosch, 2023. "Social Rationalizability with Mediation," Dynamic Games and Applications, Springer, vol. 13(2), pages 440-461, June.
    4. Kool, C.J.M. & Thornton, D., 2000. "The expectations theory and the founding of the fed: another look at the evidence," Research Memorandum 009, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    5. Mauleon, Ana & Vannetelbosch, Vincent, 2004. "Bargaining with endogenous deadlines," Journal of Economic Behavior & Organization, Elsevier, vol. 54(3), pages 321-335, July.
    6. Vannetelbosch, Vincent J., 1996. "Bargaining with an Endogenous Deadline," LIDAM Discussion Papers IRES 1996011, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    7. Bedayo, Mikel & Mauleon, Ana & Vannetelbosch, Vincent, 2016. "Bargaining in endogenous trading networks," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 70-82.
    8. Roberto Serrano, 2007. "Bargaining," Working Papers 2007-06, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    9. Torstensson, Pär, 2005. "An n-person Rubinstein bargaining game," Working Papers 2005:39, Lund University, Department of Economics.
    10. Herings, P.J.J. & Mauleon, A. & Vannetelbosch, V., 2000. "Social rationalizability," Research Memorandum 017, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    11. Goossens, J.H.M. & van Hoesel, C.P.M. & Kroon, L.G., 2002. "On solving multi-type line planning problems," Research Memorandum 009, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    12. Herings, P.J.J. & Mauleon, A. & Vannetelbosch, V., 2000. "Social rationalizability," Research Memorandum 017, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    13. Yi-Chun Chen & Xiao Luo, 2008. "Delay in a bargaining game with contracts," Theory and Decision, Springer, vol. 65(4), pages 339-353, December.
    14. Yi-Chun Chen & Xiao Luo & Chen Qu, 2016. "Rationalizability in general situations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 147-167, January.

    More about this item

    Keywords

    Sequential bargaining; N-person; Rationalizability.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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