Construct · 1 fields · 2 citations
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A player's best response is the strategy, or set of strategies, that yields the highest payoff given a fixed choice of strategies by the other players; collected over all opponent profiles it forms the best-response correspondence. Nash's 1951 Non-cooperative games defined equilibrium precisely as a profile in which every player's strategy is a best response to the others, so that no one can gain by deviating alone, and Osborne and Rubinstein's A course in game theory develops the correspondence as the basic apparatus of the field. The referent is the elementary optimality relation between one player's strategy and the rest, the building block from which Nash equilibrium, rationalizability, and best-response dynamics are all defined.[1][2]
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