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

Francis Flanagan

Journal of Mathematical Economics, 2014, vol. 53, issue C, 106-110

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.

Keywords: Matching with contracts; Many-to-one matching; Stability; Lattice (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:53:y:2014:i:c:p:106-110

DOI: 10.1016/j.jmateco.2014.06.005

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