14.6. PRODUCT POSITIONING AND PRICE COMPETITION. Consider a duopoly where horizon- tal product differentiation is important. Firms first simultaneously choose their prod- uct locations, then simultaneously set prices in an infinite series of periods. Suppose that firms collude in prices in the second stage and anticipate they will do so at the the degree of product product-positioning stage. In this context, what do you expect differentiation to be?22

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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PLEASE DO 14.6
by advertising intensity? Why?
14.6. PRODUCT POSITIONING AND PRICE COMPETITION. Consider a duopoly where horizon-
tal product differentiation is important. Firms first simultaneously choose their prod-
uct locations, then simultaneously set prices in an infinite series of periods. Suppose
that firms collude in prices in the second stage and anticipate they will do so at the
product-positioning stage. In this context, what do you expect the degree of product
differentiation to be?22
would you expect them to be ordered
CHALLENGING EXERCISES
14.7. PRICE COMPETITION WITH SEARCH COSTS. Twenty-five different stores sell the same
product in a given area to a population of 2,000 consumers. Consumers are equally
first visit any of the 25 stores. Half of the consumers have no search costs and
purchase at the lowest price so long as it is lower than $45. The other half is willing to
buy one unit of the product up to a maximum of $70 and must incur a cost of $44 in
order to find out about the prices charged by other stores. Each store can sell up to 90
units and has a unit cost of $25.
(a) Show that, in equilibrium, there exist at most two different prices.
(b) Show that, if there exist two different equilibrium prices, then the higher
price must be 70.
els to am
(c) Show that the following is an equilibrium: five firms set a price of 70 and the
remaining 20 firms set a price of 45.
Transcribed Image Text:by advertising intensity? Why? 14.6. PRODUCT POSITIONING AND PRICE COMPETITION. Consider a duopoly where horizon- tal product differentiation is important. Firms first simultaneously choose their prod- uct locations, then simultaneously set prices in an infinite series of periods. Suppose that firms collude in prices in the second stage and anticipate they will do so at the product-positioning stage. In this context, what do you expect the degree of product differentiation to be?22 would you expect them to be ordered CHALLENGING EXERCISES 14.7. PRICE COMPETITION WITH SEARCH COSTS. Twenty-five different stores sell the same product in a given area to a population of 2,000 consumers. Consumers are equally first visit any of the 25 stores. Half of the consumers have no search costs and purchase at the lowest price so long as it is lower than $45. The other half is willing to buy one unit of the product up to a maximum of $70 and must incur a cost of $44 in order to find out about the prices charged by other stores. Each store can sell up to 90 units and has a unit cost of $25. (a) Show that, in equilibrium, there exist at most two different prices. (b) Show that, if there exist two different equilibrium prices, then the higher price must be 70. els to am (c) Show that the following is an equilibrium: five firms set a price of 70 and the remaining 20 firms set a price of 45.
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