Perrier and Apollinaris. Perrier and Apollinaris are two companies that sell mineral water in Tampa, FL. Each company has a fixed cost of $5,000 per period, regardless whether they sell anything or not. The two companies are competing for the same market and each firm must choose a high price ($2 per bottle) or a low price ($1 per bottle). Here are the rules of the game: At a price of $2, 5,000 bottles can be sold for total revenue of $10,000. At a price of $1, 10,000 bottles can be sold for total revenue of $10,000. If both companies charge the same price, they split the sales evenly between them. If one company charges a higher price, the company with the lower price sells the whole amount and the company with the higher price sells nothing. Payoffs are total profits. In this case, Apollinaris has:     no dominant strategy. Perrier has a dominant strategy of P=$1.     a dominant strategy of P=$1. Perrier also has a dominant strategy of P=$2.     a dominant strategy of P=$2. Perrier also has a dominant strategy of P=$2.     a dominant strategy of P=$1. Perrier also has a dominant strategy of P=$1.

Microeconomic Theory
12th Edition
ISBN:9781337517942
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Chapter15: Imperfect Competition
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Problem 15.7P
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Perrier and Apollinaris. Perrier and Apollinaris are two companies that sell mineral water in Tampa, FL. Each company has a fixed cost of $5,000 per period, regardless whether they sell anything or not. The two companies are competing for the same market and each firm must choose a high price ($2 per bottle) or a low price ($1 per bottle). Here are the rules of the game: At a price of $2, 5,000 bottles can be sold for total revenue of $10,000. At a price of $1, 10,000 bottles can be sold for total revenue of $10,000. If both companies charge the same price, they split the sales evenly between them. If one company charges a higher price, the company with the lower price sells the whole amount and the company with the higher price sells nothing. Payoffs are total profits.

In this case, Apollinaris has:

   

no dominant strategy. Perrier has a dominant strategy of P=$1.

   

a dominant strategy of P=$1. Perrier also has a dominant strategy of P=$2.

   

a dominant strategy of P=$2. Perrier also has a dominant strategy of P=$2.

   

a dominant strategy of P=$1. Perrier also has a dominant strategy of P=$1.

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