Mechanism Design with Limited Information: The Case of Nonlinear Pricing
We analyze the canonical nonlinear pricing model with limited information. A seller offers a menu with a finite number of choices to a continuum of buyers with a continuum of possible valuations. By revealing an underlying connection to quantization theory, we derive the optimal finite menu for the socially efficient and the revenue-maximizing mechanism. In both cases, we provide an estimate of the loss resulting from the usage of a finite n-class menu. We show that the losses converge to zero at a rate proportional to 1/n^2 as n becomes large.
|Date of creation:||Nov 2010|
|Date of revision:|
|Publication status:||Published in Rahul Jain and Rajgopal Kannan, eds., Game Theory for Networks. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, Vol. 75, 2012, pp. 1-10|
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