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Bilateral trade models the task of intermediating between two strategic agents, a seller and a buyer, who wish to trade a good. We study this problem from the perspective of a profit-maximizing broker within an online learning framework,…

计算机科学与博弈论 · 计算机科学 2026-05-14 Simone Di Gregorio , Paul Dütting , Federico Fusco , Chris Schwiegelshohn

Bilateral trade, a fundamental topic in economics, models the problem of intermediating between two strategic agents, a seller and a buyer, willing to trade a good for which they hold private valuations. In this paper, we cast the bilateral…

计算机科学与博弈论 · 计算机科学 2021-09-28 Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni , Federico Fusco , Stefano Leonardi

Bilateral trade, a fundamental topic in economics, models the problem of intermediating between two strategic agents, a seller and a buyer, willing to trade a good for which they hold private valuations. Despite the simplicity of this…

机器学习 · 计算机科学 2024-02-20 Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni , Federico Fusco , Stefano Leonardi

Bilateral trade models the problem of intermediating between two rational agents -- a seller and a buyer -- both characterized by a private valuation for an item they want to trade. We study the online learning version of the problem, in…

计算机科学与博弈论 · 计算机科学 2024-09-04 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Federico Fusco

Motivated by online retail, we consider the problem of selling one item (e.g., an ad slot) to two non-excludable buyers (say, a merchant and a brand). This problem captures, for example, situations where a merchant and a brand cooperatively…

计算机科学与博弈论 · 计算机科学 2025-05-26 Gagan Aggarwal , Ashwinkumar Badanidiyuru , Paul Dütting , Federico Fusco

We examine fixed-price mechanisms in bilateral trade through the lens of regret minimization. Our main results are twofold. (i) For independent values, a near-optimal $\widetilde{\Theta}(T^{2/3})$ tight bound for $\textsf{Global Budget…

计算机科学与博弈论 · 计算机科学 2026-05-20 Houshuang Chen , Yaonan Jin , Pinyan Lu , Chihao Zhang

In online bilateral trade, a platform posts prices to incoming pairs of buyers and sellers that have private valuations for a certain good. If the price is lower than the buyers' valuation and higher than the sellers' valuation, then a…

计算机科学与博弈论 · 计算机科学 2024-05-24 François Bachoc , Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni

We study sequential bilateral trade where sellers and buyers valuations are completely arbitrary (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…

计算机科学与博弈论 · 计算机科学 2024-10-11 Yossi Azar , Amos Fiat , Federico Fusco

We investigate online pricing in two-sided markets where a platform repeatedly posts prices based on binary accept/reject feedback to maximize gains-from-trade (GFT) or profit. We characterize the regret achievable across three mechanism…

计算机科学与博弈论 · 计算机科学 2026-02-13 Yiding Feng , Mengfan Ma , Bo Peng , Zongqi Wan

We study a contextual version of the repeated brokerage problem. In each interaction, two traders with private valuations for an item seek to buy or sell based on the learner's-a broker-proposed price, which is informed by some contextual…

机器学习 · 统计学 2025-03-11 François Bachoc , Tommaso Cesari , Roberto Colomboni

We address the problem of maximizing Gain from Trade (GFT) in repeated buyer-seller exchanges subject to global budget balance constraints. While this problem is well-understood in purely adversarial and stochastic settings, these…

计算机科学与博弈论 · 计算机科学 2026-05-12 Anna Lunghi , Matteo Castiglioni , Alberto Marchesi

Bilateral trade is a central problem in algorithmic economics, and recent work has explored how to design trading mechanisms using no-regret learning algorithms. However, no-regret learning is impossible when budget balance has to be…

计算机科学与博弈论 · 计算机科学 2025-07-16 Anna Lunghi , Matteo Castiglioni , Alberto Marchesi

The study of \textit{regret minimization in fixed-price bilateral trade} has received considerable attention in recent research. Previous works [CCC+24a, CCC+24b, AFF24, BCCF24, CJLZ25, LCM25a, GDFS25] have acquired a thorough understanding…

计算机科学与博弈论 · 计算机科学 2026-01-26 Yaonan Jin

We investigate brokerage between traders from an online learning perspective. At any round $t$, two traders arrive with their private valuations, and the broker proposes a trading price. Unlike other bilateral trade problems already studied…

机器学习 · 计算机科学 2023-10-19 Nataša Bolić , Tommaso Cesari , Roberto Colomboni

Most microeconomic models of interest involve optimizing a piecewise linear function. These include contract design in hidden-action principal-agent problems, selling an item in posted-price auctions, and bidding in first-price auctions.…

计算机科学与博弈论 · 计算机科学 2025-03-04 Francesco Bacchiocchi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

Bilateral trade models the problem of facilitating trades between a seller and a buyer having private valuations for the item being sold. In the online version of the problem, the learner faces a new seller and buyer at each time step, and…

计算机科学与博弈论 · 计算机科学 2024-05-29 Solenne Gaucher , Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Vianney Perchet

We study contextual bilateral trade under full feedback when trader valuations have bounded density but infinite variance. We first extend the self-bounding property of Bachoc et al. (ICML 2025) from bounded to real-valued valuations,…

机器学习 · 统计学 2026-03-10 Hangyi Zhao

We study repeated bilateral trade where an adaptive $\sigma$-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…

机器学习 · 计算机科学 2024-02-20 Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni , Federico Fusco , Stefano Leonardi

We study repeated bilateral trade when the valuations of the sellers and the buyers are contextual. More precisely, the agents' valuations are given by the inner product of a context vector with two unknown $d$-dimensional vectors -- one…

计算机科学与博弈论 · 计算机科学 2026-02-16 Romain Cosson , Federico Fusco , Anupam Gupta , Stefano Leonardi , Renato Paes Leme , Matteo Russo

We study a repeated trading problem in which a mechanism designer facilitates trade between a single seller and multiple buyers. Our model generalizes the classic bilateral trade setting to a multi-buyer environment. Specifically, the…

计算机科学与博弈论 · 计算机科学 2025-03-04 Anna Lunghi , Matteo Castiglioni , Alberto Marchesi
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