Note on solving one-to-one matching models with linear transferable utility

Esben Scrivers Andersen

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Abstract: We derive a system of fixed-point equations for the equilibrium transfers in a class of one-to-one matching models with linear transferable utility. We then show that, when the degree of substitution between alternatives is bounded from above, the derived system of equations constitutes a contraction mapping. As a result, fixed-point iterations are guaranteed to converge to the unique distribution of equilibrium transfers.

Date: 2024-09, Revised 2024-12
New Economics Papers: this item is included in nep-des and nep-upt
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