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We study the two-agent single-item bilateral trade. Ideally, the trade should happen whenever the buyer's value for the item exceeds the seller's cost. However, the classical result of Myerson and Satterthwaite showed that no mechanism can…

计算机科学与博弈论 · 计算机科学 2022-05-03 Yumou Fei

We study the social efficiency of bilateral trade between a seller and a buyer. In the classical Bayesian setting, the celebrated Myerson-Satterthwaite impossibility theorem states that no Bayesian incentive-compatible, individually…

计算机科学与博弈论 · 计算机科学 2025-02-19 Yuan Deng , Jieming Mao , Balasubramanian Sivan , Kangning Wang , Jinzhao Wu

The celebrated Myerson--Satterthwaite theorem shows that in bilateral trade, no mechanism can be simultaneously fully efficient, Bayesian incentive compatible (BIC), and budget balanced (BB). This naturally raises the question of how…

机器学习 · 计算机科学 2026-03-10 Yang Cai , Vineet Gupta , Zun Li , Aranyak Mehta

We study bilateral trade between two strategic agents. The celebrated result of Myerson and Satterthwaite states that in general, no incentive-compatible, individually rational and weakly budget balanced mechanism can be efficient. I.e., no…

计算机科学与博弈论 · 计算机科学 2021-11-08 Yuan Deng , Jieming Mao , Balasubramanian Sivan , Kangning Wang

We design simple mechanisms to approximate the Gains from Trade (GFT) in two-sided markets with multiple unit-supply sellers and multiple unit-demand buyers. A classical impossibility result by Myerson and Satterthwaite showed that even…

计算机科学与博弈论 · 计算机科学 2017-06-20 Johannes Brustle , Yang Cai , Fa Wu , Mingfei Zhao

We study the bilateral trade problem where a seller owns a single indivisible item, and a potential buyer seeks to purchase it. Previous mechanisms for this problem only considered the case where the values of the buyer and the seller are…

计算机科学与博弈论 · 计算机科学 2024-04-17 Shahar Dobzinski , Ariel Shaulker

Bilateral trade is a fundamental economic scenario comprising a strategically acting buyer and seller, each holding valuations for the item, drawn from publicly known distributions. A mechanism is supposed to facilitate trade between these…

计算机科学与博弈论 · 计算机科学 2017-10-24 Riccardo Colini-Baldeschi , Paul Goldberg , Bart de Keijzer , Stefano Leonardi , Stefano Turchetta

The seminal impossibility result of Myerson and Satterthwaite (1983) states that for bilateral trade, there is no mechanism that is individually rational (IR), incentive compatible (IC), weakly budget balanced, and efficient. This has led…

计算机科学与博弈论 · 计算机科学 2018-02-23 Moshe Babaioff , Yang Cai , Yannai A. Gonczarowski , Mingfei Zhao

We provide a geometric proof that the random proposer mechanism is a $4$-approximation to the first-best gains from trade in bilateral exchange. We then refine this geometric analysis to recover the state-of-the-art approximation ratio of…

计算机科学与博弈论 · 计算机科学 2025-08-11 Jason Hartline , Kangning Wang

We continue the study of the performance for fixed-price mechanisms in the bilateral trade problem, and improve approximation ratios of welfare-optimal mechanisms in several settings. Specifically, in the case where only the buyer…

计算机科学与博弈论 · 计算机科学 2023-03-29 Zhengyang Liu , Zeyu Ren , Zihe Wang

We consider a model of bilateral trade with private values. The value of the buyer and the cost of the seller are jointly distributed. The true joint distribution is unknown to the designer, however, the marginal distributions of the value…

理论经济学 · 经济学 2023-01-02 Komal Malik

We consider the problem of maximizing the gains from trade (GFT) in two-sided markets. The seminal impossibility result by Myerson and Satterthwaite shows that even for bilateral trade, there is no individually rational (IR), Bayesian…

计算机科学与博弈论 · 计算机科学 2024-04-01 Yang Cai , Christopher Liaw , Aranyak Mehta , Mingfei Zhao

We study bilateral trade with a broker, where a buyer and seller interact exclusively through the broker. The broker strategically maximizes her payoff through arbitrage by trading with the buyer and seller at different prices. We study…

计算机科学与博弈论 · 计算机科学 2025-01-09 Ilya Hajiaghayi , MohammadTaghi Hajiaghayi , Gary Peng , Suho Shin

A seminal theorem of Myerson and Satterthwaite (1983) proves that, in a game of bilateral trade between a single buyer and a single seller, no mechanism can be simultaneously individually-rational, budget-balanced, incentive-compatible and…

计算机科学与博弈论 · 计算机科学 2017-11-23 Erel Segal-Halevi , Avinatan Hassidim

We investigate the power of randomness in the context of a fundamental Bayesian optimal mechanism design problem--a single seller aims to maximize expected revenue by allocating multiple kinds of resources to "unit-demand" agents with…

计算机科学与博弈论 · 计算机科学 2010-02-24 Shuchi Chawla , David Malec , Balasubramanian Sivan

We study a seller who sells a single good to multiple bidders with uncertainty over the joint distribution of bidders' valuations, as well as bidders' higher-order beliefs about their opponents. The seller only knows the (possibly…

理论经济学 · 经济学 2022-02-16 Ethan Che

I construct a novel random double auction as a robust bilateral trading mechanism for a profit-maximizing intermediary who facilitates trade between a buyer and a seller. It works as follows. The intermediary publicly commits to charging a…

理论经济学 · 经济学 2022-05-11 Wanchang Zhang

We study the problem of social welfare maximization in bilateral trade, where two agents, a buyer and a seller, trade an indivisible item. We consider arguably the simplest form of mechanisms -- the fixed-price mechanisms, where the…

计算机科学与博弈论 · 计算机科学 2023-06-21 Yang Cai , Jinzhao Wu

We consider the impact of fairness requirements on the social efficiency of truthful mechanisms for trade, focusing on Bayesian bilateral-trade settings. Unlike the full information case in which all gains-from-trade can be realized and…

计算机科学与博弈论 · 计算机科学 2025-02-27 Moshe Babaioff , Yiding Feng , Noam Manaker Morag

Designing revenue optimal auctions for selling an item to $n$ symmetric bidders is a fundamental problem in mechanism design. Myerson (1981) shows that the second price auction with an appropriate reserve price is optimal when bidders'…

计算机科学与博弈论 · 计算机科学 2015-07-30 Hu Fu , Nicole Immolica , Brendan Lucier , Philipp Strack
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