关于解决具有线性可转移效用的一对一匹配模型的说明

arXiv - ECON - General Economics Pub Date : 2024-09-09 DOI:arxiv-2409.05518

Esben Scrivers Andersen

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引用次数: 0

摘要

我们推导出一类具有线性可转移效用的一对一匹配模型中均衡转移的定点方程组。然后我们证明，当替代品之间的替代程度从上而下受到约束时，推导出的方程系统就构成了一个收缩映射。因此，定点迭代可以保证收敛到均衡转移的唯一分布。

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

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.

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arXiv - ECON - General Economics

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