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The bargaining set of a large economy with differential information

Author

Listed:
  • Ezra Einy

    (Department of Economics, Ben Gurion University of the Negev, Beer Sheva, 84105 ISRAEL)

  • Diego Moreno

    (Departamento de Economía, Universidad Carlos III de Madrid, 28903 Getafe, SPAIN)

  • Benyamin Shitovitz

    (Department of Economics, University of Haifa, Haifa, 31905 ISRAEL)

Abstract

We study the Mas-Colell bargaining set of an exchange economy with differential information and a continuum of traders. We established the equivalence of the private bargaining set and the set of Radner competitive equilibrium allocations. As for the weak fine bargaining set, we show that it contains the set of competitive equilibrium allocations of an associated symmetric information economy in which each trader has the "joint information" of all the traders in the original economy, but unlike the weak fine core and the set of fine value allocations, it may also contain allocations which are not competitive in the associated economy.

Suggested Citation

  • Ezra Einy & Diego Moreno & Benyamin Shitovitz, 2001. "The bargaining set of a large economy with differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(2), pages 473-484.
    • Handle: RePEc:spr:joecth:v:18:y:2001:i:2:p:473-484
    Note: Received: February 15, 1999; revised version: August 9, 1999
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    References listed on IDEAS

    as
    1. Aumann, Robert J, 1975. "Values of Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 43(4), pages 611-646, July.
    2. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 183-197, April.
    3. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    4. Maschler, Michael, 1976. "An advantage of the bargaining set over the core," Journal of Economic Theory, Elsevier, vol. 13(2), pages 184-192, October.
    5. Einy, Ezra & Shitovitz, Benyamin, 1998. "Existence and equivalence of competitive and core allocations in large exchange economies with differential information," UC3M Working papers. Economics 6078, Universidad Carlos III de Madrid. Departamento de Economía.
    6. Stefan Krasa & Nicholas C. Yannelis, 2005. "The value allocation of an economy with differential information," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 507-526, Springer.
    7. Einy, Ezra & Shitovitz, Benyamin, 1999. "Fine value allocations in large exchange economies with differential information," UC3M Working papers. Economics 6128, Universidad Carlos III de Madrid. Departamento de Economía.
    8. Koutsougeras, Leonidas C & Yannelis, Nicholas C, 1993. "Incentive Compatibility and Information Superiority of the Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 195-216, April.
    9. Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667, Elsevier.
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    Cited by:

    1. Murat Yılmaz & Özgür Yılmaz, 2022. "Stability of an allocation of objects," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 561-580, December.
    2. Jiuqiang Liu, 2022. "Equivalence of Competitive Equilibria, Fuzzy Cores, and Fuzzy Bargaining Sets in Finite Production Economies," Mathematics, MDPI, vol. 10(18), pages 1-16, September.
    3. Jiuqiang Liu & Huihui Zhang, 2016. "Coincidence of the Mas-Colell bargaining set and the set of competitive equilibria in a continuum coalition production economy," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1095-1109, November.

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    More about this item

    Keywords

    General equilibrium in large exchange economies with differential information; Weak fine bargaining set; Core; Value.;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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