Nash equilibrium Defense What is the Nash equilibrium? A. The strategy pair asso

Question

Nash equilibrium

Defense What is the Nash equilibrium? A. The strategy pair associated with (-5,5) B. The strategy pair associated with (5, -5) C. The strategy pair associated with (10, -10) D. The strategy pair associated with (0,0) E. There is no pure strategy Nash equilibrium 4. What is true about dominate strategies in the game? A. "Run" and "Run Defense" are dominate strategies B. "Run" and "pass Defense" are dominate strategies C. "Pass" and "Run Defense" are dominant strategies D. "Pass" and "Pass Defense" are dominate strategies E. There are no dominant strategies The game above is: A. constant-sum B. zero-sum C. Variable-sum D. a Prisoners's Dilemma

Explanation / Answer

Given player 2 plays Run, Player 1 will choose Pass

Given player 2 chooses Pass, Player 1 will choose Run

Thus, Player 1 has no dominant strategy.

Given player 1 plays Run, Player 2 will choose Run

Given player 1 chooses Pass, Player 2 will choose Pass

Thus, Player 2 has no dominant strategy.

Looking at the dominant strategies, there is no Nash equilibrium.

3.

Correct option: (e) There is no pure strategy Nash equilibrium

4.

Correct option (e) There are no dominant strategies

5.

Since there are no dominant strategies and no Nash equilibrium and one person’s gain equals other person’s loss, the game is (b) zero sum game.

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