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The substitutes condition and the lattice structure of the set of stable allocations

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  • Flanagan, Francis X.

Abstract

In the many-to-one matching model with contracts, I show that there is no restriction on preferences weaker than substitutable preferences which guarantees that the set of stable allocations is a lattice. Thus, when contracts are not substitutes, removing agents from the economy may decrease the payoffs to existing agents on both sides of the market.

Suggested Citation

  • Flanagan, Francis X., 2014. "The substitutes condition and the lattice structure of the set of stable allocations," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 106-110.
    • Handle: RePEc:eee:mateco:v:53:y:2014:i:c:p:106-110
    DOI: 10.1016/j.jmateco.2014.06.005
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    References listed on IDEAS

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    1. Alvin E. Roth, 1985. "Conflict and Coincidence of Interest in Job Matching: Some New Results and Open Questions," Mathematics of Operations Research, INFORMS, vol. 10(3), pages 379-389, August.
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    4. John William Hatfield & Fuhito Kojima, 2008. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 98(3), pages 1189-1194, June.
    5. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    6. Adachi, Hiroyuki, 2000. "On a characterization of stable matchings," Economics Letters, Elsevier, vol. 68(1), pages 43-49, July.
    7. Hatfield, John William & Kojima, Fuhito, 2010. "Substitutes and stability for matching with contracts," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1704-1723, September.
    8. Roth, Alvin E & Xing, Xiaolin, 1994. "Jumping the Gun: Imperfections and Institutions Related to the Timing of Market Transactions," American Economic Review, American Economic Association, vol. 84(4), pages 992-1044, September.
    9. Hatfield, John William & Kominers, Scott Duke, 2013. "Vacancies in supply chain networks," Economics Letters, Elsevier, vol. 119(3), pages 354-357.
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