Question 1 Sa A Consider a 2-player game with strategy sets S - (a,b}for player 1 and Sz={c,0) for player 2. Which statement is true if player 1 has no dominant strategy? O Strategy b guaranteos player 1 the best possible payoff, na matter what strategy playor 2 chooses. O Depending on what strategy player 2 chooses, somesimes strategy a leads to a (weakhy) higher payoff for player 1 than strategy b, and sametimes strategy b leads to a (weakiy) higher payoff for player 1 than strategy a. O We cannot say wthether any of the other 3 alternatives is true. O Strategy a guarantees player 1 the best possible payoif, no matter what strategy player 2 chooses.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
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Consider a 2-player game with strategy sets S1-(a,b}for player 1 and Sz =(c,d) for player 2. Which statement is true if player 1 has no dominant strategy?
O Strategy b guaranteos playor 1 the best possible payaff, no matter what strategy player 2 choosos.
O Depending on what strategy player 2 chooses, sometimes strategy a leads to a (weakly) higher payoff for player 1 than strategy b, and sometimes strategy b leads to a (weakiy)
higher payoff for player 1 than strategy a.
O We cannot say whether any of the other 3 alternatives is true.
O Strategy a guarantees player 1 the best possible payoff, no matter whhat strategy player 2 chooses.
Transcribed Image Text:Question 1 Saue Answe Consider a 2-player game with strategy sets S1-(a,b}for player 1 and Sz =(c,d) for player 2. Which statement is true if player 1 has no dominant strategy? O Strategy b guaranteos playor 1 the best possible payaff, no matter what strategy player 2 choosos. O Depending on what strategy player 2 chooses, sometimes strategy a leads to a (weakly) higher payoff for player 1 than strategy b, and sometimes strategy b leads to a (weakiy) higher payoff for player 1 than strategy a. O We cannot say whether any of the other 3 alternatives is true. O Strategy a guarantees player 1 the best possible payoff, no matter whhat strategy player 2 chooses.
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