三步矩阵对策上的无中生有计及其实例

基于一个历史实例及假定:①三步矩阵对策中赢得矩阵都不变,②每步都是局中人1先行动,③对于每步对策,局中人2观测不到对手究竟使用了何策略;但局中人1可以观测到对手所用的策略,建立了三步矩阵对策上的无中生有计(《三十六计》中的第七计)的对策模型.研究了当局中人2中计,半识破和完全识破对手的无中生有计时的赢得和所用的策略的情况.并用上述实例对模型作了说明.

Nothing Yielding Fruit Trick on a Three-stage Matrix Game and Its Living Example

This paper is supported by a historical living example and the assumption: (① winning) matrix is constant in three-stage game,② player 1 first takes a action in each stage,and ③ for each stage game,the player 2 can not observe which pure strategy the opponent is using;the player 1 can observe his opponent′s that.We shall make a game model of nothing yielding fruit trick(the seventh one in "the thirty-six stratagems") on three-stage matrix game.Then we study the player 2′s winning and used pure strategies when he is trapped into,semi-see through and whole-see through the opponent′s nothing yielding fruit trick,respectively.Finally,we show the model by the above-mentioned historical living example.