There are two restaurants next to each other. Restaurant 1 (R1) sells burritos and Restaurant 2 (R2) sells burgers. Both restaurants have to simultaneously set their prices which can be any non-negative 1 real number. Denote by p1 the price of a burrito set by R1 and by p2 the price of a burger set by R2. Since consumers have a choice of which restaurant to go to and are price conscious, the price of each restaurant, besides impacting the demand for its own product, effects the demand for the product of the other restaurant as well. Specifically, the demand functions for the burritos sold by R1 and burgers sold by R2, denoted q1 and q2, respectively, are given by: q1 = 44 − 2p1 + p2 q2 = 44 − 2p2 + p1 (For simplicity, we are assuming here that demand is perfectly divisible). Finally, the cost of producing each unit of burger and burrito is the same and equal to 8. Model this strategic environment as a normal form game and find a pure strategy Nash equilibrium. Is the equilibrium you found unique?
There are two restaurants next to each other. Restaurant 1 (R1) sells burritos and Restaurant 2 (R2) sells burgers. Both restaurants have to simultaneously set their prices which can be any non-negative 1 real number. Denote by p1 the
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