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Unique Nash Implementation For A Class Of Bargaining Solutions

Author

Listed:
  • WALTER TROCKEL

    (Institute of Mathematical Economics, Bielefeld University, P.O. Box 100131, 33501 Bielefeld, Germany)

Abstract

The paper presents a method of supporting certain solutions of two-person bargaining games by unique Nash equilibria of associated games in strategic form. Among the supported solutions is the Kalai-Smorodinsky solution.

Suggested Citation

  • Walter Trockel, 1999. "Unique Nash Implementation For A Class Of Bargaining Solutions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 1(03n04), pages 267-272.
    • Handle: RePEc:wsi:igtrxx:v:01:y:1999:i:03n04:n:s0219198999000190
    DOI: 10.1142/S0219198999000190
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    Citations

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    Cited by:

    1. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2022. "An experiment on the Nash program: Comparing two strategic mechanisms implementing the Shapley value," ISER Discussion Paper 1175, Institute of Social and Economic Research, Osaka University.
    2. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
    3. Kang Rong, 2018. "Fair Allocation When Players' Preferences Are Unknown," Economic Inquiry, Western Economic Association International, vol. 56(1), pages 497-509, January.
    4. Hirofumi Yamamura & Ryo Kawasaki, 2013. "Generalized average rules as stable Nash mechanisms to implement generalized median rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 815-832, March.
    5. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2022. "An Experiment on The Nash Program: A Comparison of Two Strategic Mechanisms Implementing the Shapley Value," ISER Discussion Paper 1175r, Institute of Social and Economic Research, Osaka University, revised Feb 2023.
    6. Chessa, Michela & Hanaki, Nobuyuki & Lardon, Aymeric & Yamada, Takashi, 2023. "An experiment on the Nash program: A comparison of two strategic mechanisms implementing the Shapley value," Games and Economic Behavior, Elsevier, vol. 141(C), pages 88-104.
    7. Claus-Jochen Haake & Cheng-Zhong Qin, 2018. "On unification of solutions to the bargaining problem," Working Papers CIE 113, Paderborn University, CIE Center for International Economics.

    More about this item

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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