Mathematical Sciences: Cooperative and Stochastic Games

这个项目将考虑合作和随机博弈。 对于合作博弈，与Shapley值相关的问题将是 分析时，球员被假定加入联盟， 不同程度的努力或真诚。 此外，概念 这类对策的势函数的性质。 对于随机博弈，有效算法和 将研究平衡。 本项目开发的模型适用于许多 经济、金融、社会、文化等领域的现象， 军事科学 由于方法的通用性， 知识领域是受益于这一赠款的结果。

This project will consider cooperative and stochastic games. For cooperative games, questions related to Shapley value will be analyzed when the players are assumed to join coalitions with varying levels of effort or sincerity. In addition, the notion of potential function for this kind of games will be considered. For stochastic games, the existence of efficient algorithms and equilibria will be studied. Models developed in this project apply to a many phenomena in areas such as economics, finance, social and military science. Due to the generality of the methods a vast area of knowledge is to benefit from the results of this grant.