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The Coase Conjecture When the Monopolist and Customers Have Different Discount Rates

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Abstract One of the most famous and outstanding formalizations of the Coase Conjecture is that by Gul, Sonnenschein, & Wilson (1986). A peculiarity of their model—as well as nearly all other examinations of the Coase Conjecture, including that by Coase himself—is that it assumes that the monopolist and customers have the same discount rate. I reexamine their model, while relaxing this restriction. Gul, Sonnenschein, and Wilson show that, if the (common) discount rate of the monopolist and customers approaches one, then the Coase Conjecture follows. I show that one only needs the discount rate of the customers to approach one for this to be true. I also show a second result: If the customers’ discount rate is fixed at a value less than one while the monopolist’s discount rate approaches one, then the Coase Conjecture is guaranteed not to follow. (JEL: C7, C79, D7, D72)
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Title: The Coase Conjecture When the Monopolist and Customers Have Different Discount Rates
Description:
Abstract One of the most famous and outstanding formalizations of the Coase Conjecture is that by Gul, Sonnenschein, & Wilson (1986).
A peculiarity of their model—as well as nearly all other examinations of the Coase Conjecture, including that by Coase himself—is that it assumes that the monopolist and customers have the same discount rate.
I reexamine their model, while relaxing this restriction.
Gul, Sonnenschein, and Wilson show that, if the (common) discount rate of the monopolist and customers approaches one, then the Coase Conjecture follows.
I show that one only needs the discount rate of the customers to approach one for this to be true.
I also show a second result: If the customers’ discount rate is fixed at a value less than one while the monopolist’s discount rate approaches one, then the Coase Conjecture is guaranteed not to follow.
(JEL: C7, C79, D7, D72).

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