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original papers : On preferences over subsets and the lattice structure of stable matchings

Author

Listed:
  • Ahmet Alkan

    (Sabanci University, Tuzla 81474 Istanbul, Turkey)

Abstract

This paper studies the structure of stable multipartner matchings in two-sided markets where choice functions are quotafilling in the sense that they satisfy the substitutability axiom and, in addition, fill a quota whenever possible. It is shown that (i) the set of stable matchings is a lattice under the common revealed preference orderings of all agents on the same side, (ii) the supremum (infimum) operation of the lattice for each side consists componentwise of the join (meet) operation in the revealed preference ordering of the agents on that side, and (iii) the lattice has the polarity, distributivity, complementariness and full-quota properties.

Suggested Citation

  • Ahmet Alkan, 2001. "original papers : On preferences over subsets and the lattice structure of stable matchings," Review of Economic Design, Springer;Society for Economic Design, vol. 6(1), pages 99-111.
    • Handle: RePEc:spr:reecde:v:6:y:2001:i:1:p:99-111
    Note: Received: 5 March 1999 / Accepted: 12 May 2000
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    More about this item

    Keywords

    Stable matchings; revealed preference; choice function; lattice;
    All these keywords.

    JEL classification:

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

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