(Monopoly in the Hotelling model). Consumers are distributed uniformly with unit density in the segment [0, 1] and have utility function U;=1-t|0-l₁-P₁, where li, p; are the location and price of firm i, and t < 1/2 is a disutility parameter. Firm 0 is located at lo = 0 and has constant marginal cost equal to 0. It has to decide which price to set. Find the (monopolistic) equilibrium price, and explain how this varies as t changes.
(Monopoly in the Hotelling model). Consumers are distributed uniformly with unit density in the segment [0, 1] and have utility function U;=1-t|0-l₁-P₁, where li, p; are the location and price of firm i, and t < 1/2 is a disutility parameter. Firm 0 is located at lo = 0 and has constant marginal cost equal to 0. It has to decide which price to set. Find the (monopolistic) equilibrium price, and explain how this varies as t changes.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![(Monopoly in the Hotelling model). Consumers are distributed uniformly with unit density in the
segment [0, 1] and have utility function U; = 1- t|0-li|-pi, where li, pi are the location and price of
firm i, and t < 1/2 is a disutility parameter. Firm 0 is located at lo = 0 and has constant marginal cost
equal to 0. It has to decide which price to set. Find the (monopolistic) equilibrium price, and explain
how this varies as t changes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F889fbf05-c0f7-4cec-acd6-ff3d667cdaa9%2Fa65040ad-8277-4fb4-a7e9-8c22c6547798%2Fauespz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(Monopoly in the Hotelling model). Consumers are distributed uniformly with unit density in the
segment [0, 1] and have utility function U; = 1- t|0-li|-pi, where li, pi are the location and price of
firm i, and t < 1/2 is a disutility parameter. Firm 0 is located at lo = 0 and has constant marginal cost
equal to 0. It has to decide which price to set. Find the (monopolistic) equilibrium price, and explain
how this varies as t changes.
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