Does either player have a dominant strategy?
3 min read
Asked by: Jesus Zawacki
Answer: Neither player has a dominant strategy. For example, if Shelia plays A and Thomas plays D then Shelia’s payoff is 14. But if Shelia plays B and Thomas plays C, then Sheilas’s payoff is 15. A similar argument shows that Thomas also does not have a dominant strategy.
Can both player have a dominant strategy?
If a strictly dominant strategy exists for one player in a game, that player will play that strategy in each of the game’s Nash equilibria. If both players have a strictly dominant strategy, the game has only one unique Nash equilibrium.
Which player has a dominant strategy?
Testifying is a dominant strategy for both players. So both testifying is the dominant strategy equilibrium. The prisoner's dilemma comes up in all sorts of situations.
When neither player has a dominant strategy?
If neither player in a game has a dominant strategy in a game, then there is no equilibrium outcome for the game. – It is not true that both players will always have at least one dominant strategy.
How do you tell if a player has a dominant strategy?
So in this video we're going to talk about dominant strategy now dominant strategy is the idea that one player can always pick a strategy that is going to result in the best path.
What is the dominant strategy for player 2?
Here • U is a dominant strategy for Player 1, L is a dominant strategy for Player 2, B is a dominant strategy for Player 3, • and therefore (U;L;B) is a dominant strategy equilibrium yielding a payoff of (1,1,2). strategy that performs at least as good no matter what other players choose.
Can there be two dominant strategies Nash equilibrium?
Since the payoffs are the same for both players. We know that for player to confess will also be the dominant strategy confessed confess is the dominant strategy equilibrium in this game.
What is meant by dominant strategy?
“Dominant strategy” is a term in game theory that refers to the optimal option for a player among all the competitive strategy set, no matter how that player’s opponents may play, and the opposite strategy is called “inferior strategy.”
How do you find dominant and dominated strategy?
Accordingly, a strategy is dominant if it leads a player to better outcomes than alternative strategies (i.e., it dominates the alternative strategies). Conversely, a strategy is dominated if it leads a player to worse outcomes than alternative strategies (i.e., it is dominated by the alternative strategies).
What is a dominant strategy quizlet?
a dominant strategy is one that yields a higher payoff regardless of the strategy chosen by the other player. In some games such as the prisoner’s dilemma, each player has a dominant strategy. Equilibrium occurs in such games when each player chooses his or her dominant strategy.
Is a player’s best response in a game the same as his dominant strategy?
Is a player’s best response in a game the same as his dominant strategy? Not necessarily. If a player has a dominant strategy, then it is his best response; however, every best response is not always a dominant strategy.
What is the dominant strategy in the Prisoners dilemma quizlet?
In the prisoner’s dilemma, the dominant strategy is to confess.
