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A Unified Perspective on Resource Allocation : Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice

Author

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  • Chichilnisky, G

Abstract

Different forms of resource allocation - by markets, cooperative games, and by social choice - are unified by one condition, limited arbitrage, which is defined on the endowments and the preferences of the traders of an Arrow Debreu economy. Limited arbitrage is necessary and sufficient for the existence of a competitive equilibrium in economies with or without short sales, and with finitely or infinitely many markets.

Suggested Citation

  • Chichilnisky, G, 1996. "A Unified Perspective on Resource Allocation : Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice," Papers 96-20, Columbia - Graduate School of Business.
    • Handle: RePEc:fth:colubu:96-20
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    Cited by:

    1. Chichilnisky, Graciela, 1997. "A topological invariant for competitive markets," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 445-469, November.
    2. Graciela Chichilnisky, 1998. "The knowledge revolution," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 7(1), pages 39-54.
    3. Graciela Chichilnisky, 1996. "Markets And Games: A Simple Equivalence Among The Core, Equilibrium And Limited Arbitrage," Metroeconomica, Wiley Blackwell, vol. 47(3), pages 266-280, October.
    4. Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2005. "Arrovian aggregation in economic environments: how much should we know about indifference surfaces?," Journal of Economic Theory, Elsevier, vol. 124(1), pages 22-44, September.
    5. Lauwers, Luc, 2000. "Topological social choice," Mathematical Social Sciences, Elsevier, vol. 40(1), pages 1-39, July.
    6. Chichilnisky, Graciela, 1997. "Limited arbitrage is necessary and sufficient for the existence of an equilibrium," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 470-479, November.
    7. Monteiro, Paulo K. & Page, Frank Jr. & Wooders, Myrna Holtz, 1997. "Arbitrage, equilibrium, and gains from trade: A counterexample," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 481-501, November.
    8. Graciela Chichilnisky, 1996. "A robust theory of resource allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 1-10, January.
    9. Chichilnisky, Graciela, 1996. "Limited arbitrage is necessary and sufficient for the non-emptiness of the core," Economics Letters, Elsevier, vol. 52(2), pages 177-180, August.
    10. Chichilnisky, Graciela, 1996. "Markets with endogenous uncertainty: theory and policy," MPRA Paper 8612, University Library of Munich, Germany.

    More about this item

    Keywords

    ARBITRAGE ; SOCIAL CHOICE ; ECONOMETRICS ; ECONOMIC EQUILIBRIUM;
    All these keywords.

    JEL classification:

    • J52 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Dispute Resolution: Strikes, Arbitration, and Mediation
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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