Abstract:
The article solves the problem of choosing an optimal, by the Hurwitz criterion, mixed strategy for arbitrary matrix game against nature. We reduce the problem to solving $n$ linear programming problems (where $n$ is the number of scenarios). As far as we know, this is a new result. It can be used to make decisions in uncertain environments, if the game situation is repeated many times, or physical mixture of pure strategies is realizable.
Keywords:uncertainty, decision making, game against nature, Hurwitz criterion, mixed strategy, linear programming.