In recreation idea, the very best response correspondence for combined methods is a operate that maps every participant’s technique set to the set of their finest responses to the opposite gamers’ combined methods. In different phrases, it tells every participant what their finest technique is, given the methods of the opposite gamers.
The very best response correspondence is necessary as a result of it may be used to search out Nash equilibria in video games. A 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, a Nash equilibrium is a set of methods which might be mutually finest responses.