Consider the following game where two players must simultaneously announce an integer number between 1 and 5. If you announce a number which is 1 lower than the opponent your payoff is 10 otherwise it is 0. Which of the following statements is true? O All outcomes of the game are rationalizable. O This game has no Nash equilibrium in pure strategies. O This game has a unique pure strategy Nash equilibrium. O A strictly dominant strategy exists for at least one player. O More than one of the above. O No Answer

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter15: Strategic Games
Section: Chapter Questions
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Consider the following game where two players must simultaneously announce an integer number between 1 and 5. If you announce a number which is 1 lower than the opponent your payoff is 10,
otherwise it is 0. Which of the following statements is true?
All outcomes of the game are rationalizable.
This game has no Nash equilibrium in pure strategies.
This game has a unique pure strategy Nash equilibrium.
A strictly dominant strategy exists for at least one player.
More than one of the above.
No Answer
Transcribed Image Text:Consider the following game where two players must simultaneously announce an integer number between 1 and 5. If you announce a number which is 1 lower than the opponent your payoff is 10, otherwise it is 0. Which of the following statements is true? All outcomes of the game are rationalizable. This game has no Nash equilibrium in pure strategies. This game has a unique pure strategy Nash equilibrium. A strictly dominant strategy exists for at least one player. More than one of the above. No Answer
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