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price discriminate

A monopolist selling several di erent products can sometimes "price discriminate" by bundling her products together. Here's an example. Suppose the U of C is planning to o er a series of two concerts. The rst program in the series consists of music by Chopin; the second, music by Stravinsky. There are four types of patrons with the following reservation prices (willingness to pay) for the concerts:

 Romantic Type: $40 for Chopin, $20 for Stravinsky  Modern Type $20 for Chopin $40 for Stravinsky

 Chopin Lover $45 for Chopin $5 for Stravinsky

 Stravinsky Lover $5 for Chopin $45 for Stravinsky

Suppose for simplicity that there is only one individual of each type and everyone can be accom-

modated at either performance. Also suppose the U of C does not know any individual's given

type.

(a) Suppose rst that separate tickets are o ered for the two concerts. What is the pro t

maximizing price per ticket?

(b) Suppose that only a single ticket for the series is o ered. What is the pro t maximizing

price for a series ticket? Have pro ts increased? What is the intuition for this result?

(c) Can you nd a more pro table alternative?

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