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A bargaining-Walras approach for finite economies

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  • Hervés-Estévez, Javier
  • Moreno-García, Emma

Abstract

We give a notion of bargaining set for finite economies and show its coincidence with the set of Walrasian allocations. Moreover, we also show that justified objections equate with Walrasian objections. Our bargaining-Walras equivalence provides a discrete approach to the characterization of competitive equilibria obtained by Mas-Colell (1989) for continuum economies. Some further results highlight whether it is possible to restrict the formation of coalitions and still get the bargaining set. Finally, recasting some known characterizations of Walrasian allocations, we state additional interpretations of the bargaining set.

Suggested Citation

  • Hervés-Estévez, Javier & Moreno-García, Emma, 2015. "A bargaining-Walras approach for finite economies," MPRA Paper 69802, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:69802
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    References listed on IDEAS

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    1. Schjodt, Ulla & Sloth, Birgitte, 1994. "Bargaining Sets with Small Coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 49-55.
    2. Garcia-Cutrin, Javier & Herves-Beloso, Carlos, 1993. "A Discrete Approach to Continuum Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 577-583, July.
    3. Schmeidler, David, 1972. "A Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 579-580, May.
    4. Dutta, Bhaskar & Ray, Debraj & Sengupta, Kunal & Vohra, Rajiv, 1989. "A consistent bargaining set," Journal of Economic Theory, Elsevier, vol. 49(1), pages 93-112, October.
    5. Hervés-Beloso, Carlos & Moreno-García, Emma, 2009. "Walrasian analysis via two-player games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 220-233, January.
    6. Robert M. Anderson & Walter Trockel & Lin Zhou, 1997. "Nonconvergence of the Mas-Colell and Zhou Bargaining Sets," Econometrica, Econometric Society, vol. 65(5), pages 1227-1240, September.
    7. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    8. Javier Hervés-Estévez & Emma Moreno-García, 2015. "On restricted bargaining sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 631-645, August.
    9. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    10. Wenbo Yang & Jiuqiang Liu & Xiaodong Liu, 2011. "Aubin cores and bargaining sets for convex cooperative fuzzy games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 467-479, August.
    11. Grodal, Birgit, 1972. "A Second Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 581-583, May.
    12. Vind, Karl, 1972. "A Third Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 585-586, May.
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    More about this item

    Keywords

    Bargaining sets; coalitions; core; veto mechanism.;
    All these keywords.

    JEL classification:

    • D00 - Microeconomics - - General - - - General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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