Solution Concept - Rationalizability and Iterated Dominance

Rationalizability and Iterated Dominance

In this solution concept, players are assumed to be rational and so strictly dominated strategies are eliminated from the set of strategies that might feasibly be played. A strategy is strictly dominated when there is some other strategy available to the player that always has a higher payoff, regardless of the strategies that the other players choose. (Strictly dominated strategies are also important in minimax game-tree search.) For example, in the (single period) prisoners' dilemma (shown below), cooperate is strictly dominated by defect for both players because either player is always better off playing defect, regardless of what his opponent does.

Prisoner 2 Cooperate Prisoner 2 Defect
Prisoner 1 Cooperate −0.5, −0.5 −10, 0
Prisoner 1 Defect 0, −10 −2, −2

Read more about this topic:  Solution Concept

Famous quotes containing the words iterated and/or dominance:

    The customary cry,
    ‘Come buy, come buy,’
    With its iterated jingle
    Of sugar-bated words:
    Christina Georgina Rossetti (1830–1894)

    It is better for a woman to compete impersonally in society, as men do, than to compete for dominance in her own home with her husband, compete with her neighbors for empty status, and so smother her son that he cannot compete at all.
    Betty Friedan (b. 1921)