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Multilateral non-cooperative bargaining in a general utility space

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Author Info

  • Klaus Kultti

    ()

  • Hannu Vartiainen

    ()

Abstract

We consider an n-player bargaining problem where the utility possibility set is compact, convex, and stricly comprehensive. We show that a stationary subgame perfect Nash equilibrium exists, and that, if the Pareto surface is differentiable, all such equilibria converge to the Nash bargaining solution as the length of a time period between offers goes to zero. Without the differentiability assumption, convergence need not hold.

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File URL: http://hdl.handle.net/10.1007/s00182-009-0212-3
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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 39 (2010)
Issue (Month): 4 (October)
Pages: 677-689

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Handle: RePEc:spr:jogath:v:39:y:2010:i:4:p:677-689

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Related research

Keywords: Multilateral; Bargaining; General utility set; C7; D7;

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References

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  1. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  2. Chae, Suchan & Yang, Jeong-Ae, 1988. "The unique perfect equilibrium of an n-person bargaining game," Economics Letters, Elsevier, vol. 28(3), pages 221-223.
  3. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2007. "One-dimensional Bargaining with Markov Recognition Probabilities," Research Memorandum 044, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  4. Kalyan Chatterjee & Hamid Sabourian, 1998. "Multiperson Bargaining and Strategic Complexity," CRIEFF Discussion Papers 9808, Centre for Research into Industry, Enterprise, Finance and the Firm.
  5. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  6. Lensberg, T. & Thomson, W., 1988. "Characterizing The Nash Bargaining Solution Without Pareto-Optimality," RCER Working Papers 136, University of Rochester - Center for Economic Research (RCER).
  7. Thomson,William & Lensberg,Terje, 2006. "Axiomatic Theory of Bargaining with a Variable Number of Agents," Cambridge Books, Cambridge University Press, number 9780521027038, October.
  8. Suh, Sang-Chul & Wen, Quan, 2006. "Multi-agent bilateral bargaining and the Nash bargaining solution," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 61-73, February.
  9. repec:cup:cbooks:9780521343831 is not listed on IDEAS
  10. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
  11. Kultti, Klaus & Vartiainen, Hannu, 2007. "Von Neumann-Morgenstern stable sets, discounting, and Nash bargaining," Journal of Economic Theory, Elsevier, vol. 137(1), pages 721-728, November.
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Citations

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Cited by:
  1. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2010. "Non-cooperative support for the asymmetric Nash bargaining solution," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1951-1967, September.
  2. BRITZ, Volker & HERINGS, Jean-Jacques & PREDTETCHINSKI, Arkadi, 2013. "On the Convergence to the Nash bargaining solution for action-dependent bargaining protocols," CORE Discussion Papers 2013044, Universit├ę catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Thorsten Upmann & Julia M´┐Żller, 2013. "The Structure of Firm-Specific Labour Unions," Tinbergen Institute Discussion Papers 13-080/I, Tinbergen Institute.
  4. Predtetchinski Arkadi, 2009. "On the asymptotic uniqueness of bargaining equilibria," Research Memorandum 021, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  5. Britz V. & Herings P.J.J. & Predtetchinski A., 2014. "Equilibrium delay and non-existence of equilibrium in unanimity bargaining games," Research Memorandum 019, Maastricht University, Graduate School of Business and Economics (GSBE).
  6. Anbarci, Nejat & Sun, Ching-jen, 2013. "Asymmetric Nash bargaining solutions: A simple Nash program," Economics Letters, Elsevier, vol. 120(2), pages 211-214.
  7. Herings P. Jean-Jacques & Predtetchinski A., 2011. "Procedurally Fair Income Taxation Schemes," Research Memorandum 035, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  8. Herings P. Jean-Jacques & Britz Volker & Predtetchinski Arkadi, 2012. "On the Convergence to Nash Bargaining Solution for Endogenous Bargaining Protocols," Research Memorandum 030, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  9. Francis Bloch & Effrosyni Diamantoudi, 2011. "Noncooperative formation of coalitions in hedonic games," International Journal of Game Theory, Springer, vol. 40(2), pages 263-280, May.

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