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Bilateral trade and two-sided markets

De Stefano Leonardi

Apparaît dans la collection : From matchings to markets. A tale of Mathematics, Economics and Computer Science. / Des matchings aux marchés. Une histoire de mathématiques

We study repeated bilateral trade where an adaptive σ-smooth adversary generates the valuations of sellers and buyers. We provide a complete characterization of the regret regimes for fixed-price mechanisms under different feedback models in the two cases where the learner can post either the same or different prices to buyers and sellers. We begin by showing that the minimax regret after $T$ rounds is of order $\sqrt{T}$ in the full-feedback scenario. Under partial feedback, any algorithm that has to post the same price to buyers and sellers suffers worst-case linear regret. However, when the learner can post two different prices at each round, we design an algorithm enjoying regret of order $T^{3/4}$ ignoring log factors. We prove that this rate is optimal by presenting a surprising $T^{3/4}$ lower bound, which is the main technical contribution of the paper.

Informations sur la vidéo

Données de citation

  • DOI 10.24350/CIRM.V.20119103
  • Citer cette vidéo Leonardi, Stefano (12/12/2023). Bilateral trade and two-sided markets. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20119103
  • URL https://dx.doi.org/10.24350/CIRM.V.20119103



  • CESA-BIANCHI, Nicolò, CESARI, Tommaso R., COLOMBONI, Roberto, et al. Repeated bilateral trade against a smoothed adversary. In : The Thirty Sixth Annual Conference on Learning Theory. PMLR, 2023. p. 1095-1130. - https://arxiv.org/abs/2302.10805
  • DÜTTING, Paul, FUSCO, Federico, LAZOS, Philip, et al. Efficient two-sided markets with limited information. In : Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing. 2021. p. 1452-1465. - http://dx.doi.org/10.1145/3406325.3451076

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