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Multilateral Non-Cooperative Bargaining in a General Utility Space

  • Hannu Vartiainen

    ()

    (Department of Economics, Turku School of Economics)

  • Klaus Kultti

    ()

    (Department of Economics, University of Helsinki)

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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Paper provided by Aboa Centre for Economics in its series Discussion Papers with number 19.

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Length: 20
Date of creation: Sep 2007
Date of revision:
Handle: RePEc:tkk:dpaper:dp19
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  1. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
  2. 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.
  3. Chatterjee, K. & Sabourian, H., 1997. "Multiperson Bargaining and Strategic Complexity," Cambridge Working Papers in Economics 9733, Faculty of Economics, University of Cambridge.
  4. 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).
  5. 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.
  6. repec:cup:cbooks:9780521027038 is not listed on IDEAS
  7. 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.
  8. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  9. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
  10. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2010. "One-dimensional bargaining with Markov recognition probabilities," Journal of Economic Theory, Elsevier, vol. 145(1), pages 189-215, January.
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