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The Languages of Product-Mix Auctions

Algorithms, Approximation, and Learning in Market and Mechanism Design November 06, 2023 - November 09, 2023

November 07, 2023 (09:45 AM PST - 10:30 AM PST)
Speaker(s): Elizabeth Baldwin (University of Oxford)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Video

The Languages of Product-Mix Auctions

Abstract

Product-mix auctions are sealed-bid mechanisms for trading multiple units of multiple differentiated goods. They implement competitive-equilibrium allocations based on the preferences that participants express in a geometric language. Versions we have implemented are easy to use and understand. All concave substitutes (respectively, strong substitutes) preferences can be uniquely represented, and no other preferences can be represented, by appropriate sets of permitted bids in the corresponding version of this language. These languages thus also provide new characterizations of ordinary substitutes, and of strong substitutes. We discuss implementation of the auctions, and extensions and variants of the language, e.g., allowing for budget constraints.

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The Languages of Product-Mix Auctions

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