The Root of Revenue Continuity

Sergiu Hart and Noam Nisan

Papers from arXiv.org

Abstract: In the setup of selling one or more goods, various papers have shown, in various forms and for various purposes, that a small change in the distribution of a buyer's valuations may cause only a small change in the possible revenue that can be extracted. We prove a simple, clean, convenient, and general statement to this effect: let X and Y be random valuations on k additive goods, and let W(X,Y) be the Wasserstein (or "earth mover's") distance between them; then sqrt(Rev(X))-sqrt(Rev(Y))

Date: 2025-07
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