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Existence of stable allocations in matching markets with infinite contracts: A topological approach

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  • Fisher, James C.D.
Abstract
In classic matching markets, individuals choose their partners and each pair chooses a contract from a finite set of feasible contracts; the existence of stable allocations then follows from the (generalized) Deferred Acceptance algorithm. We consider an extension where the contract set is a compact subset of a topological vector space (e.g., Rk or ℂ[0,1]) and give a simple topological argument, which leverages this classic algorithm, to establish the existence of stable allocations when payoffs are upper-semicontinuous.

Suggested Citation

  • Fisher, James C.D., 2020. "Existence of stable allocations in matching markets with infinite contracts: A topological approach," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 136-140.
    • Handle: RePEc:eee:mateco:v:91:y:2020:i:c:p:136-140
    DOI: 10.1016/j.jmateco.2020.09.005
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    References listed on IDEAS

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    1. Shi, Fanqi, 2021. "Stability in sequential matching with incomplete information," Games and Economic Behavior, Elsevier, vol. 129(C), pages 492-502.

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