连续对策之判断下的最优策略集

本文引进连续对策上的判断块、判断准确、判断下的最优策略集等概念，得到了如下几个主要结果：1.判断下的最优策略集是一个局部凸空间的非空有界闭凸集；2.两个判断下的最优策略集相等的充要条件是这两个判断位于同一判断块中；3.若局中人判断准确，则在一次性对策下不论他使用此判断下的那一个最优策略（不论是纯的还是混合的），都可无风险地取得最优赢得。

The Set of Optimal Strategies under Judgement in a Continuous Game

In a continuous game, we introduce the concepts of judgement blocks, accuracy of judgement, the set of optimal strategies under judgement, and so on.We obtain the following results:1.A set of optimal strategies under judgement is a nonempty, bounded, and closed convex set in a locally convex space;2. Some judgement is in a block if and only if the sets of optimal strategies under them are equal; 3. In one-off game, if a player's judgement is accurate, then he can obtain the best winning without risk, no matter what optimal strategy under this judgement(pure or mixed)is used.