Answer: equilibrium uniform price of firm A = profit of firm A under uniform pricing= equilibrium price of firm A on interval 1 equilibrium price of firm B on interval 1 19:58 Thu 12 Dec moodle4.city.ac.uk 74% Consider a standard Hotelling model of competition with quadratic transportation costs. The consumers are located uniformly along a segment of unit length. There are two firms, A and B, located at the opposite ends of the segment. Each firm has constant marginal costs 0. Each consumer buys at most one unit of product and gets utility 16. Each consumer incurs travel cost of 5 times the square of traveled distance. Find equilibrium price and profit of firm A when firms set a unform price for the entire Hotelling segment. Suppose now that firms can price discriminate between consumers located in the interval [0,1] (interval 1) and those located in the interval [4.1] (interval 2). Find 4 equilibrium prices of firm A and B on the interval 1. Answer:

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Chapter17: Oligopoly
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Answer:
equilibrium uniform price of firm A =
profit of firm A under uniform pricing=
equilibrium price of firm A on interval 1
equilibrium price of firm B on interval 1
Transcribed Image Text:Answer: equilibrium uniform price of firm A = profit of firm A under uniform pricing= equilibrium price of firm A on interval 1 equilibrium price of firm B on interval 1
19:58 Thu 12 Dec
moodle4.city.ac.uk
74%
Consider a standard Hotelling model of competition with quadratic transportation
costs. The consumers are located uniformly along a segment of unit length. There
are two firms, A and B, located at the opposite ends of the segment. Each firm has
constant marginal costs 0. Each consumer buys at most one unit of product and
gets utility 16. Each consumer incurs travel cost of 5 times the square of traveled
distance.
Find equilibrium price and profit of firm A when firms set a unform price for the
entire Hotelling segment.
Suppose now that firms can price discriminate between consumers located in the
interval [0,1] (interval 1) and those located in the interval [4.1] (interval 2). Find
4
equilibrium prices of firm A and B on the interval 1.
Answer:
Transcribed Image Text:19:58 Thu 12 Dec moodle4.city.ac.uk 74% Consider a standard Hotelling model of competition with quadratic transportation costs. The consumers are located uniformly along a segment of unit length. There are two firms, A and B, located at the opposite ends of the segment. Each firm has constant marginal costs 0. Each consumer buys at most one unit of product and gets utility 16. Each consumer incurs travel cost of 5 times the square of traveled distance. Find equilibrium price and profit of firm A when firms set a unform price for the entire Hotelling segment. Suppose now that firms can price discriminate between consumers located in the interval [0,1] (interval 1) and those located in the interval [4.1] (interval 2). Find 4 equilibrium prices of firm A and B on the interval 1. Answer:
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