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Core-equivalence for the Nash bargaining solution

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  • Walter Trockel

Abstract

Core equivalence and shrinking of the core results are well known for economies. The present paper establishes counterparts for bargaining economies, a specific class of production economies (finite and infinite) representing standard two-person bargaining games and their continuum counterparts as coalition production economies. Thereby we get core equivalence of the Nash solution. The results reconfirm the Walrasian approach to Nash bargaining of Trockel (1996). Moreover we establish the same speed of convergence as is known from Debreu (1975) and Grodal (1975) for replicated pure exchange economies and for regular purely competitive sequences of economies, respectively. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Walter Trockel, 2005. "Core-equivalence for the Nash bargaining solution," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(1), pages 255-263, January.
    • Handle: RePEc:spr:joecth:v:25:y:2005:i:1:p:255-263
    DOI: 10.1007/s00199-004-0470-z
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    Cited by:

    1. Gonzalez, Stéphane & Grabisch, Michel, 2016. "Multicoalitional solutions," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 1-10.
    2. Sonja Brangewitz & Jan-Philip Gamp, 2014. "Competitive outcomes and the inner core of NTU market games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 529-554, November.
    3. Stéphane Gonzalez & Aymeric Lardon, 2018. "Optimal deterrence of cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 207-227, March.
    4. Y. H. Gu & M. Goh & Q. L. Chen & R. D. Souza & G. C. Tang, 2013. "A new two-party bargaining mechanism," Journal of Combinatorial Optimization, Springer, vol. 25(1), pages 135-163, January.
    5. repec:hal:pseose:halshs-00881108 is not listed on IDEAS
    6. Brangewitz, Sonja & Gamp, Jan-Philip, 2016. "Inner Core, Asymmetric Nash Bargaining Solutions and Competitive Payoffs," Center for Mathematical Economics Working Papers 453, Center for Mathematical Economics, Bielefeld University.
    7. Brangewitz, Sonja & Gamp, Jan-Philip, 2013. "Asymmetric Nash bargaining solutions and competitive payoffs," Economics Letters, Elsevier, vol. 121(2), pages 224-227.

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