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A universal meta bargaining implementation of the Nash solution

Author

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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. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
    2. 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.
    3. Claus-Jochen Haake & Walter Trockel, 2020. "Introduction to the Special Issue “Bargaining”," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 1-6, November.
    4. 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.
    5. Walter Trockel, 2002. "Integrating the Nash program into mechanism theory," Review of Economic Design, Springer;Society for Economic Design, vol. 7(1), pages 27-43.
    6. 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.
    7. Haake, Claus-Jochen & Trockel, Walter, 2021. "Socio-legal Systems and Implementation of the Nash Solution in Debreu-Hurwicz Equilibrium," Center for Mathematical Economics Working Papers 647, Center for Mathematical Economics, Bielefeld University.
    8. 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.
    9. M. Carmen Marco & Josep E. Peris & Begoña Subiza, 2020. "A Concessions-Based Procedure for Meta-Bargaining Problems," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 105-120, November.
    10. 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.
    11. Claus-Jochen Haake & Walter Trockel, 2022. "Socio-legal systems and implementation of the Nash solution in Debreu–Hurwicz equilibrium," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 635-649, December.
    12. 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.
    13. 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.

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