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A universal meta bargaining implementation of the Nash solution

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  • Walter Trockel

    () (Institut für Mathematische Wirtschafts forschung, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany)

Abstract

This paper follows van Damme (1986) in presenting a meta bargaining approach that justifies the Nash bargaining solution. But in contrast to van Damme's procedure our meta bargaining game is universal in the sense that all bargaining solutions are allowed as strategic choices in the meta bargaining game. Also our result holds true for any number n of players.

Suggested Citation

  • Walter Trockel, 2002. "A universal meta bargaining implementation of the Nash solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 581-586.
  • Handle: RePEc:spr:sochwe:v:19:y:2002:i:3:p:581-586
    Note: Received: 31 July 2000/Accepted: 19 March 2001
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    Citations

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    Cited by:

    1. Trockel, Walter, 2017. "Can and should the Nash Program be looked at as a part of mechanism theory," Center for Mathematical Economics Working Papers 322, Center for Mathematical Economics, Bielefeld University.
    2. Marco-Gil, Maria del Carmen & Peris, Josep E. & Subiza, Begoña, 2012. "A Concessions-Based Mechanism for Meta-Bargaining Problems," QM&ET Working Papers 12-13, University of Alicante, D. Quantitative Methods and Economic Theory.
    3. Thorsten Upmann & Julia Müller, 2014. "The Structure of Firm-Specific Labour Unions," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 170(2), pages 336-364, June.
    4. Trockel, Walter, 2017. "Integrating the Nash program into mechanism theory," Center for Mathematical Economics Working Papers 305, Center for Mathematical Economics, Bielefeld University.
    5. Alfredo Valencia-Toledo & Juan Vidal-Puga, 2020. "A sequential bargaining protocol for land rental arrangements," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 65-99, June.
    6. Papatya Duman & Walter Trockel, 2016. "On non-cooperative foundation and implementation of the Nash solution in subgame perfect equilibrium via Rubinstein's game," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 83-107, December.
    7. Vidal-Puga, Juan J., 2008. "Forming coalitions and the Shapley NTU value," European Journal of Operational Research, Elsevier, vol. 190(3), pages 659-671, November.
    8. Duman, Papatya & Trockel, Walter, 2016. "On non-cooperative foundation and implementation of the Nash Solution in subgame perfect equilibrium via Rubinstein’s game," Center for Mathematical Economics Working Papers 550, Center for Mathematical Economics, Bielefeld University.

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