consider a market for two differentiated products. demand for good 1 is d1 = 1-p1 + 1/4p2 and demand for second is d2 = 1-p2 + 1/4p1 where p1 and p2 are prices of the goods. Suppose firm 1 produces good 1 and firm 2 produces good 2. All production costs are sunk, that is, firms supply at zero production cost. Assume that firms compete in prices. (a) Calculate the diversion ratio. b) Derive the reaction function of each firm and calculate the Nash equilibrium in prices.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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consider a market for two differentiated products.
demand for good 1 is d1 = 1 - p1 + 1/4p2 and demand
for second is d2 = 1-p2 + 1/4p1 where p1 and p2 are
prices of the goods. Suppose firm 1 produces good 1
and firm 2 produces good 2. All production costs are
sunk, that is, firms supply at zero production cost.
Assume that firms compete in prices. (a) Calculate the
diversion ratio. b) Derive the reaction function of each
firm and calculate the Nash equilibrium in prices.
Transcribed Image Text:consider a market for two differentiated products. demand for good 1 is d1 = 1 - p1 + 1/4p2 and demand for second is d2 = 1-p2 + 1/4p1 where p1 and p2 are prices of the goods. Suppose firm 1 produces good 1 and firm 2 produces good 2. All production costs are sunk, that is, firms supply at zero production cost. Assume that firms compete in prices. (a) Calculate the diversion ratio. b) Derive the reaction function of each firm and calculate the Nash equilibrium in prices.
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