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Poster

An αα-regret analysis of Adversarial Bilateral Trade

Yossi Azar · Amos Fiat · Federico Fusco

Hall J (level 1) #831

Keywords: [ Online Learning ] [ pricing ] [ bilateral trade ] [ partial feedback ]


Abstract: We study sequential bilateral trade where sellers and buyers valuations are completely arbitrary ({\sl i.e.}, determined by an adversary). Sellers and buyers are strategic agents with private valuations for the good and the goal is to design a mechanism that maximizes efficiency (or gain from trade) while being incentive compatible, individually rational and budget balanced. In this paper we consider gain from trade which is harder to approximate than social welfare.We consider a variety of feedback scenarios and distinguish the cases where the mechanism posts one price and when it can post different prices for buyer and seller. We show several surprising results about the separation between the different scenarios. In particular we show that (a) it is impossible to achieve sublinear αα-regret for any α<2α<2, (b) but with full feedback sublinear 22-regret is achievable (c) with a single price and partial feedback one cannot get sublinear αα regret for any constant αα (d) nevertheless, posting two prices even with one-bit feedback achieves sublinear 22-regret, and (e) there is a provable separation in the 22-regret bounds between full and partial feedback.

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