基于等级序概念的序支付改进研究

Research of Improvement of Ordering Payoff Function Based on the Concept of Grade Payoff

在序支付概念的基础上,采用等级支付函数代替序支付函数的方法,对无法具体赋值的博弈模型可以获得混合策略解,并证明在一定条件下其解收敛于数博弈混合策略解。

The payoffs in ordinal game theory are ordinal utility but not cardinal utility which is the base of the von Neumann＇s expected utility theory,the mixed strategy equilibrium can＇t be solved in ordinal game.To overcome this disadvantage,we developed a new concept of grade-ordering.It＇s proved that the mixed strategy equilibrium of the corresponding grade ordinal game converged to the mixed strategy equilibrium of zero-sum cardinal game so that its results are meaningful and reliable.