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On uniqueness of equilibrium prices in a Bayesian assignment game

Author

Listed:
  • David Cantala

    (El Colegio de México)

  • Damián Gibaja

    (Universidad Popular Autonoma del Estado de Puebla)

Abstract

In the Assignment Game [Shapley and Shubik, 1971], most solution concepts yield a multiplicity of solutions. We study the Assignment game in a Bayesian environment where neither buyers nor sellers know the valuation of other players, and derive conditions on the distribution of valuations to guarantee the uniqueness of equilibrium. Also, we provide a closed-form solution when valuations follow an exponential distribution.

Suggested Citation

  • David Cantala & Damián Gibaja, 2018. "On uniqueness of equilibrium prices in a Bayesian assignment game," Serie documentos de trabajo del Centro de Estudios Económicos 2018-06, El Colegio de México, Centro de Estudios Económicos.
    • Handle: RePEc:emx:ceedoc:2018-06
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    File URL: https://cee.colmex.mx/dts/2018/DT-2018-6.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    assignment game; uniqueness; Newton's method; contraction mapping;
    All these keywords.

    JEL classification:

    • A20 - General Economics and Teaching - - Economic Education and Teaching of Economics - - - General

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