If each player in a game has a strictly dominant strategy, then:Group of answer choicesthe Nash equilibrium is welfare-maximising.each player achieves a maximum payoff in equilibrium.the game has no equilibrium.there cannot be multiple equilibria.the game can only played once.
Question
If each player in a game has a strictly dominant strategy, then:Group of answer choicesthe Nash equilibrium is welfare-maximising.each player achieves a maximum payoff in equilibrium.the game has no equilibrium.there cannot be multiple equilibria.the game can only played once.
Solution
The statement "If each player in a game has a strictly dominant strategy, then each player achieves a maximum payoff in equilibrium" is correct.
Here's why:
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A strictly dominant strategy is one where a player can always get a higher payoff, regardless of what the other players do.
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If every player has a strictly dominant strategy, they will play these strategies in equilibrium.
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Since these strategies always give the highest possible payoff, each player achieves a maximum payoff in equilibrium.
The other statements are not necessarily true. The Nash equilibrium is not always welfare-maximising, the game can have multiple equilibria, and the game can be played more than once.
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