Question

Consider the competitive, static, one-time game depicted in the following figure. If larger payoffs are preferred,...

Consider the competitive, static, one-time game depicted in the following figure.

If larger payoffs are preferred, does either player have a dominant strategy?

If B believes that A will move A1, how should B move?

If B believes that A will move A2, how should B move?

What is the Nash equilibrium strategy profile if this game is played just once?

What is the strategy profile for this game if both players adopt a secure strategy?

What strategy profile results in the best payoff for both players?

Is cooperation a Nash equilibrium if this game is played three times?

If Player A can move first, can Player A's outcome be improved? Use a decision tree to determine the answer.

Payoff Matrix:
(row, column)=(A, B)

B1

B2

A1

(20,20

(5,25)

A2

(25,5)

(2,2)

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