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

Fuente: arXiv
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Autor principal: Andersen, Esben Scrivers
Formato: Preprint
Publicado: 2024
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author Andersen, Esben Scrivers
author_facet Andersen, Esben Scrivers
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_05518
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Note on solving one-to-one matching models with linear transferable utility
Andersen, Esben Scrivers
General Economics
Economics
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.
title Note on solving one-to-one matching models with linear transferable utility
topic General Economics
Economics
url https://arxiv.org/abs/2409.05518