在匹配模型和价格模型之间进行插值
Interpolating between matching and hedonic pricing models
AI总结：
本文研究了结合可转让效用双方面匹配与享乐定价的模型理论性质，通过多边际最优运输问题建立稳定匹配的上界和纯度条件。
摘要：
我们考虑了一个包含可转让效用双方面匹配和享乐定价的模型的理论性质。这一框架与三方面匹配问题（在数学文献中称为多边际最优运输问题）密切相关。我们通过两种方式利用这种关系：首先，我们证明了一个已知的多边际最优运输结构结果可用于建立稳定匹配支持集维度的上界。其次，假设市场一方代理的分布是连续的，我们确定了一个关于其偏好的条件，以确保稳定匹配的纯度和唯一性；该条件是数学文献中已知条件的变体，保证了多边际最优运输问题中的类似性质。我们展示了若干盈余函数，其中我们的条件成立，以及一些不成立的例子。
英文摘要：
We consider the theoretical properties of a model which encompasses bi-partite matching under transferable utility on the one hand, and hedonic pricing on the other. This framework is intimately connected to tripartite matching problems (known as multi-marginal optimal transport problems in the mathematical literature). We exploit this relationship in two ways; first, we show that a known structural result from multi-marginal optimal transport can be used to establish an upper bound on the dimension of the support of stable matchings. Next, assuming the distribution of agents on one side of the market is continuous, we identify a condition on their preferences that ensures purity and uniqueness of the stable matching; this condition is a variant of a known condition in the mathematical literature, which guarantees analogous properties in the multi-marginal optimal transport problem. We exhibit several examples of surplus functions for which our condition is satisfied, as well as some for which it fails.
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