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The objective is to assess the incentive to acquire information on consumer characteristics. We consider a monopoly. The firm incurs no production cost. There are M consumers with unit demand. Consumers' valuation for that good, denoted v, is uniformly distributed on the interval [0, 1] . A consumer with a valuation v buys the good if and only if the price for the good p is lower than v (p ≤ v). The firm a priori does not observe the valuation v. Nevertheless the monopoly has the possibility to acquire information, which will lead to a partition of the consumers into N subintervals of equal length. For instance if N = 2, the monopoly knows whether a consumer has a valuation in the interval [0,1/2] or [1/2,/1] and can set two different prices for each sub-group.
1. Determine the optimal price for each sub-group.
2. Deduce the profit of the monopoly. Is there a benefit to invest in information acquisition for the monopoly?
The balance sheet of Marilyn and Monroe was as follows immediately prior to the partnership's being liquidated: cash, $25,426; other assets, $130,439; liabilities, $22,198; Marilyn
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