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An étude in modeling the definability of equilibrium

Author

Listed:
  • Ariel Rubinstein

    (Tel Aviv University
    New York University)

  • Kemal Yıldız

    (Bilkent University)

Abstract

We analyse the object assignment model enriched with a set of orderings over the set of agents. These orderings provide potential criteria for determining the suitability of agents to be assigned to an object. A candidate for a definable equilibrium is an assignment of the agents to the objects and an attachment of a single criterion to each object. In equilibrium, each agent is better-suited to his assigned object than any agent who envies him, according to the criterion attached to that object. We analyze the equilibrium notion and provide some examples.

Suggested Citation

  • Ariel Rubinstein & Kemal Yıldız, 2022. "An étude in modeling the definability of equilibrium," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 543-552, December.
    • Handle: RePEc:spr:reecde:v:26:y:2022:i:4:d:10.1007_s10058-021-00267-2
    DOI: 10.1007/s10058-021-00267-2
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    References listed on IDEAS

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    1. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the New York City High School Match," NBER Working Papers 14864, National Bureau of Economic Research, Inc.
    2. Rubinstein,Ariel, 2000. "Economics and Language," Cambridge Books, Cambridge University Press, number 9780521789905, Enero.
    3. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-Proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match," American Economic Review, American Economic Association, vol. 99(5), pages 1954-1978, December.
    4. Richter, Michael & Rubinstein, Ariel, 2020. "The permissible and the forbidden," Journal of Economic Theory, Elsevier, vol. 188(C).
    5. Michael Richter & Ariel Rubinstein, 2015. "Back to Fundamentals: Equilibrium in Abstract Economies," American Economic Review, American Economic Association, vol. 105(8), pages 2570-2594, August.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Definability; Definable equilibrium; Object assignment model;
    All these keywords.

    JEL classification:

    • D0 - Microeconomics - - General
    • C0 - Mathematical and Quantitative Methods - - General

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