8. Two software companies sell competing products. These products are substitutes so that the number of units that either company sells is a decreasing function of its own price and an increasing function of the other product's price. Let P1 and X1 be the price and quantity sold of product 1, and P2 and X2 the price and quantity sold of product 2. We have that X1 = 1,000 90-P1+P2) and X2 = 1,000 90P2+P1). Each company has 2 incurred a fixed cost for designing their software and writing programmes, but the cost of selling to an extra user is zero. As the firms compete in prices, each company will choose a prico +hat mavimisos its profite

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter20: Elasticity: Demand And Supply
Section: Chapter Questions
Problem 6E
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(d) Suppose that company 1 sets its price first. Company 2 knows the price P1 the
company has chosen, and it knows that company 1 will not change its price. Also,
company 1 is aware of how company 2 will react to its own choice of price. Explain
and calculate the prices of the two companies and their total revenues. Comment on
whether there is a first or second mover advantage in this model in terms of the size
of the change in the total revenue of each company relative to its total revenue in the
simultaneous price setting game.
Transcribed Image Text:(d) Suppose that company 1 sets its price first. Company 2 knows the price P1 the company has chosen, and it knows that company 1 will not change its price. Also, company 1 is aware of how company 2 will react to its own choice of price. Explain and calculate the prices of the two companies and their total revenues. Comment on whether there is a first or second mover advantage in this model in terms of the size of the change in the total revenue of each company relative to its total revenue in the simultaneous price setting game.
8. Two software companies sell competing products. These products are substitutes so
that the number of units that either company sells is a decreasing function of its own
price and an increasing function of the other product's price. Let P1 and X1 be the price
and quantity sold of product 1, and P2 and X2 the price and quantity sold of product 2. We
1,000/90P2+P1). Each company has
have that X1 = 1,000 90-P1+
and X2 =
incurred a fixed cost for designing their software and writing programmes, but the cost of
selling to an extra user is zero. As the firms compete in prices, each company will choose
a price that maximises its profits.
Transcribed Image Text:8. Two software companies sell competing products. These products are substitutes so that the number of units that either company sells is a decreasing function of its own price and an increasing function of the other product's price. Let P1 and X1 be the price and quantity sold of product 1, and P2 and X2 the price and quantity sold of product 2. We 1,000/90P2+P1). Each company has have that X1 = 1,000 90-P1+ and X2 = incurred a fixed cost for designing their software and writing programmes, but the cost of selling to an extra user is zero. As the firms compete in prices, each company will choose a price that maximises its profits.
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