Traditional Culture Encyclopedia - Traditional virtues - How to find pure strategy Nash equilibrium and mixed Nash strategy?
How to find pure strategy Nash equilibrium and mixed Nash strategy?
Nash equilibrium of mixed strategies: G={S 1, ... sn; In u 1, ... un}, mixed strategies combine to form a Nash equilibrium. If for all i= 1, 2 ..., the following formula holds: that is, if a strategy combination makes any player's strategy optimal relative to other players' strategies, then this strategy constitutes a Nash equilibrium, whether it is a mixed strategy or a pure strategy. Nash equilibrium of mixed strategy is a rational strategy facing the uncertainty of other participants' choices. Its main feature is that every pure strategy as a part of mixed strategy has the same expectation. Otherwise, a player will choose the strategy with the highest expectation and exclude all other strategies, which means that the original state is not equilibrium.
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