A condition for unbiased saddle point strategy pairs

The notion of an unbiased equilibrium value is introduced for the theory of two-person differential games in which multiple equilibrium values occur. In zero-sum games an unbiased saddle point value is simply the mean of the set of saddle point strategy values and an unbiased saddle point strategy pair is one which gives a payoff equal to the mean. A very simple example is given to illustrate the ideas. In nonzero-sum games an unbiased Nash equilibrium value is the convergent point of a sequence of mean values resulting from a nested sequence of sets of Nash equilibrium values.