Question C2. Consider the two player game depicted in the payoff matrix below: Player 2 A B (5, 2) (0, 6) Y (1, 0) | (-1, 3) Z (2, 6) (10, 0) a) Explain what a mixed strategy is and provide an example of a real-life game in which we might observe players adopting such strategies. b) Determine all pure and mixed Nash Equilibria for this game. c) Suppose that the payoffs in the game changed such that X and A became dominant strategies for players 1 and 2 respectively, would this change the result from part (b)? Explain your answer. Player 1

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Question C2. Consider the two player game depicted in the payoff matrix below:
Player 2
A
B
X (6, 2) (0, 6)
Y (1, 0) | (-1, 3)
z (2, 6) (10, 0)
a) Explain what a mixed strategy is and provide an example of a real-life game in which we might
observe players adopting such strategies.
b) Determine all pure and mixed Nash Equilibria for this game.
c) Suppose that the payoffs in the game changed such that X and A became dominant strategies
for players 1 and 2 respectively, would this change the result from part (b)? Explain your
answer.
Player 1
Transcribed Image Text:Question C2. Consider the two player game depicted in the payoff matrix below: Player 2 A B X (6, 2) (0, 6) Y (1, 0) | (-1, 3) z (2, 6) (10, 0) a) Explain what a mixed strategy is and provide an example of a real-life game in which we might observe players adopting such strategies. b) Determine all pure and mixed Nash Equilibria for this game. c) Suppose that the payoffs in the game changed such that X and A became dominant strategies for players 1 and 2 respectively, would this change the result from part (b)? Explain your answer. Player 1
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