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Two Grocery Stores Compete Against Each Other in a Community

Question 100

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Two grocery stores compete against each other in a community. Both are considering an increase in advertising expenditures. Their interdependent alternatives are described by the payoff matrix.
 Firm 2  Advertise  Don’t Advertise  Firm 1  Advertise (7,7)(4,8) Don’tAdvertise (1,1)(5,4)\begin{array} { | l | l | l | l | } \hline & & { \text { Firm 2 } } \\\hline & & \text { Advertise } & \text { Don't Advertise } \\\hline { \text { Firm 1 } } & \text { Advertise } & ( 7,7 ) & ( 4,8 ) \\\hline & \text { Don'tAdvertise } & ( 1,1 ) & ( 5,4 ) \\\hline\end{array} (i) Determine whether each firm has a dominant strategy and, if it does, identify the strategy.
(ii) Determine the optimal strategy for each firm.
(iii) Determine the Nash equilibrium.
(iv) Is this a prisoners' dilemma? How do you know?

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