Two firms sell an identical product in a market by setting prices simultaneously. Consumers buy from the firm that offers the lower price; if the prices are identical, the firms split the demand. If p is the lowest price (in dollars), aggregate demand is Q = 200-2p. Suppose prices can only be set in increments of 1 cent. a. If each firm had unlimited capacity and a marginal cost of $15, what are all the Nash equilibria in this market?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.3P
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Two firms sell an identical product in a market by setting prices simultaneously. Consumers buy from
the firm that offers the lower price; if the prices are identical, the firms split the demand. If p is the
lowest price (in dollars), aggregate demand is Q = 200-2p. Suppose prices can only be set in
increments of 1 cent.
a. If each firm had unlimited capacity and a marginal cost of $15, what are all the Nash equilibria
in this market?
Transcribed Image Text:Two firms sell an identical product in a market by setting prices simultaneously. Consumers buy from the firm that offers the lower price; if the prices are identical, the firms split the demand. If p is the lowest price (in dollars), aggregate demand is Q = 200-2p. Suppose prices can only be set in increments of 1 cent. a. If each firm had unlimited capacity and a marginal cost of $15, what are all the Nash equilibria in this market?
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