In recreation concept, a combined technique greatest response is a method that mixes a number of pure methods in such a manner that it’s the greatest response to the opponent’s technique. A pure technique is a method the place the participant at all times chooses the identical motion, whereas a combined technique is a method the place the participant randomizes over a set of actions. Blended technique greatest responses are sometimes utilized in video games the place there isn’t a pure technique Nash equilibrium.
Blended technique greatest responses could be discovered by fixing for the Nash equilibrium of the sport. The Nash equilibrium is a set of methods, one for every participant, such that no participant can enhance their payoff by unilaterally altering their technique. In different phrases, the Nash equilibrium is a set of methods the place every participant is doing one of the best they’ll, given the methods of the opposite gamers.
