论文标题

小组合作 - 最佳运输方法

Cooperation in Small Groups -- an Optimal Transport Approach

论文作者

Wang, Xinyang

论文摘要

如果代理仅在某些有限尺寸的小组中合作,是否有一种方法可以将人口分为小组,以便没有组合新组来更好地做到更好?本文在可转让的实用程序设置中重新审视了F核。通过为问题提供新的表述,我们在F核与运输理论之间建立了联系。这样的链接有助于我们确定确切的存在结果,并为一般类代理类别的F核表征以及在有限类型情况下计算F核的一些改进。

If agents cooperate only within small groups of some bounded sizes, is there a way to partition the population into small groups such that no collection of agents can do better by forming a new group? This paper revisited f-core in a transferable utility setting. By providing a new formulation to the problem, we built up a link between f-core and the transportation theory. Such a link helps us to establish an exact existence result, and a characterization result of f-core for a general class of agents, as well as some improvements in computing the f-core in the finite type case.

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