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Core many-to-one matchings by fixed-point methods

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  • Echenique, Federico
  • Oviedo, Jorge

Abstract

We characterize the core many-to-one matchings as fixed points of a map. Our characterization gives an algorithm for finding core allocations; the algorithm is efficient and simple to implement. Our characterization does not require substitutable preferences, so it is separate from the structure needed for the non-emptiness of the core. When preferences are substitutable, our characterization gives a simple proof of the lattice structure of core matchings, and it gives a method for computing the join and meet of two core matchings.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

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  • Echenique, Federico & Oviedo, Jorge, 2004. "Core many-to-one matchings by fixed-point methods," Journal of Economic Theory, Elsevier, vol. 115(2), pages 358-376, April.
    • Handle: RePEc:eee:jetheo:v:115:y:2004:i:2:p:358-376
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    References listed on IDEAS

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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