具有多代理人的对策接受-拒绝过程

考虑了具有组合特性策略的矩阵对策，对策中的局中人是一些彼此不完全合作的代理人。对这样一些对策，我们寻找了具有特殊乘积的混合最优策略。建立了关于这类策略存在的充要条件。能够通过广义矩阵数乘方法得到这些策略在代理人独立行动并且没有可行策略被拒绝时，可用该乘积形式对最优混合策略进行模拟。该模型主要应用在资源分配对策中。

Acceptance-Rejection Procedure for Games with Multi-agent Players

Matrix games with strategies of combinatorial nature are considered. The players in the games are teams of agents who do not fully cooperate with one another. For such games, optimal mixed strategies having a special product form are searched for. Necessary and suffcient conditions for the existence of such strategies are established. These strategies can be found by using the technique of generalized matrix scaling. The product form is used for the simulation of the optimal mixed strategies when the agents act independently and non-feasible strategies are rejected. The main application of the considered models is resource allocation games.