What do you mean by dominate strategy?

What do you mean by dominate strategy?

A dominated strategy is a strategy which doesn’t result in the optimal outcome in any case. A strategy is dominated if there always exist a course of action which results in higher payoff no matter what the opponent does. In a two-strategy game, if one strategy is dominant, the other must be a dominated strategy.

What is dominant strategy example?

Hiring a lawyer is a dominant strategy for Firm A because if Firm B hires a lawyer, it is better to hire a lawyer and get $45 million instead of not hiring and getting only $25 million. If Firm B doesn’t hire a lawyer, it is better for Firm A to hire a lawyer and get $70 million instead of only $25 million.

Can a player have two strictly dominant strategies?

No. If si and si were both strictly dominant, si = si, then you would have ui(si,s−i) > ui(si,s−i) > ui(si,s−i) for all s−i, which is impossible. 2.

Do not play a strictly dominated strategy?

A rational player will never play a strictly dominated strategy. Proof. No dominated strategy can ever be optimal because, by definition of strict dominance, there is another dominating strategy yielding a higher payoff regardless of the other players’ strategies.

What is the dominance rule used in game theory?

The principle of dominance states that if one strategy of a player dominates over the other strategy in all conditions then the later strategy can be ignored. A strategy dominates over the other only if it is preferable over other in all conditions.

Which player has a dominant strategy?

The dominant strategy in game theory refers to a situation where one player has a superior tactic regardless of how the other players act. The Nash Equilibrium is an optimal state of the game, where each opponent makes optimal moves while considering the other player’s optimal strategies.

What is the distinction between strictly dominant strategy and weakly dominant strategy is it reasonable for a player to play a strictly dominated strategy explain why?

-a strictly dominant strategy is that strategy that always provides greater utility to a the player, no matter what the other player’s strategy is; -a weakly dominant strategy is that strategy that provides at least the same utility for all the other player’s strategies, and strictly greater for some strategy.