In recreation idea, a blended technique finest response is a technique that mixes a number of pure methods in such a approach that it’s the finest response to the opponent’s technique. A pure technique is a technique the place the participant at all times chooses the identical motion, whereas a blended technique is a technique the place the participant randomizes over a set of actions. Blended technique finest responses are sometimes utilized in video games the place there isn’t a pure technique Nash equilibrium.
Blended technique finest responses will 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 the very best they’ll, given the methods of the opposite gamers.
