(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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