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arXiv · 2609.24011

Monopolist nonlinear pricing in a seller's market

Lucas D. O'Brien
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Abstract

In this paper, we study the Rochet-Choné model of monopolist pricing in the seller's market limit. We introduce a monotonicity formula which yields an asymptotic description of solutions, and prove that the proportion of consumers priced out of the market vanishes as overall consumer demand increases, providing a counterpoint to Armstrong's desirability of exclusion.

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Lucas D. O'Brien. 2026-09-21. Monopolist nonlinear pricing in a seller's market. https://arxiv.org/abs/2609.24011

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