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Multiple Choice
The game above has:
A
A Nash equilibrium:both Walmart and Target keep prices high
B
A Nash equilibrium:both Walmart and Target lower prices
C
A Nash equilibrium:Target keeps prices high and Walmart lowers prices
D
No Nash equilibrium
Verified step by step guidance
1
Identify the players in the game: Walmart and Target.
List the strategies available to each player: Walmart can either 'Lower Prices' or 'Keep Prices', and Target can either 'Lower Prices' or 'Keep Prices'.
Examine the payoff matrix: Each cell in the matrix shows the payoffs for Walmart and Target based on their chosen strategies. For example, if both lower prices, they each earn $5 million.
Determine the best response for each player given the other player's strategy: For Walmart, if Target lowers prices, Walmart's best response is to lower prices (earning $5 million instead of $1 million). If Target keeps prices, Walmart's best response is to lower prices (earning $30 million instead of $20 million).
Identify the Nash Equilibrium: A Nash Equilibrium occurs when each player's strategy is the best response to the other player's strategy. In this case, both Walmart and Target lowering prices is a Nash Equilibrium, as neither can benefit by unilaterally changing their strategy.