Development of the Central-Union Theory in Cooperative Sidepayment n-Person Games

人们可以从不同的角度研究人类社会交往系统，理性行为就是其中之一。在这种方法下，个人被视为决策者，他们试图通过在行为选项中进行选择来最大化自己的效用。这些决定是基于关于环境中其他人和事件的有限信息。这个项目专注于n人游戏，也就是说，在每个参与者(或玩家)都有不需要与其他人的兴趣重合的多人决策上。该项目的主要目标是扩展一种名为中心联盟理论的新理论，该理论可以高度准确地预测一大类n人游戏的结果。该理论预测的结果的一个例子是某种联盟结构到位的可能性。该理论的预测将在n人游戏的实验室实验研究的大量经验数据上得到验证。这个高度理论性和数学性的项目将扩展和测试一个很有前途的关于n人合作博弈的新理论。该项目的一个非常有价值的方面是，它强调理论预测经验结果的能力，而不是只在抽象层面上检验它们。

Systems of human social interaction can be studied from various perspectives, one of which is rational action. Under this approach, individuals are viewed as decision-makers who try to maximize their utility through choices among behavioral options. These decisions are based on limited information about other people and events in the environment. This project focuses on n-person games, that is, on multi-person decisions where each of the participants (or players) have interests that need not coincide with those of others. The primary goal of the project is to expand a new theory, called the central union theory, that predicts outcomes in a large class of n-person games with a high degree of accuracy. An examples of an outcome predicted by the theory are the probability that a certain coalition structure comes into place. The prediction of the theory will be tested on a large amount of empirical data from laboratory experimental studies of n-person games. This highly theoretical and mathematical project will expand and test a promising new theory about n-person cooperative games. A very valuable aspect of the project is its emphasis on the ability of the theory to predict empirical outcomes, rather than examining them only at the abstract level.