出租和谐与室友
Rental harmony with roommates
摘要：
本文证明了在具有异质的不可分的商品和货币的市场中，当每种商品供给一定数量，且代理人有单位需求时，存在无嫉妒分配。我们离开大多数以前的文献，允许代理人的偏好的商品取决于整个矢量的价格。我们的证明使用Shapley的K-K-M-S定理和Hall的婚姻引理。然后，我们展示了我们的定理如何可以应用于两个相关的问题：在切蛋糕问题的一个版本中存在无嫉妒的分配，以及在商品和货币不可分割的交换经济中存在均衡。
英文摘要：
We prove existence of envy-free allocations in markets with heterogenous indivisible goods and money, when a given quantity is supplied from each of the goods and agents have unit demands. We depart from most of the previous literature by allowing agents' preferences over the goods to depend on the entire vector of prices. Our proof uses Shapley's K-K-M-S theorem and Hall's marriage lemma. We then show how our theorem may be applied in two related problems: Existence of envy-free allocations in a version of the cake-cutting problem, and existence of equilibrium in an exchange economy with indivisible goods and money.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
