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In the multi-unit pricing problem, multiple units of a single item are for sale. A buyer's valuation for $n$ units of the item is $v \min \{ n, d\} $, where the per unit valuation $v$ and the capacity $d$ are private information of the…

计算机科学与博弈论 · 计算机科学 2017-04-18 Nikhil R. Devanur , Nima Haghpanah , Christos-Alexandros Psomas

Consider a market where a seller owns an item for sale and a buyer wants to purchase it. Each player has private information, known as their type. It can be costly and difficult for the players to reach an agreement through direct…

计算机科学与博弈论 · 计算机科学 2024-10-29 Zhikang Fan , Weiran Shen

We consider the problem of maximizing the expected revenue from selling $k$ homogeneous goods to $n$ unit-demand buyers who arrive sequentially with independent and identically distributed valuations. In this setting the optimal posted…

计算机科学与博弈论 · 计算机科学 2019-04-17 Paul Dütting , Felix Fischer , Max Klimm

Consider a seller that intends to auction some item. The seller can invest money and effort in advertising in different market segments in order to recruit $n$ bidders to the auction. Alternatively, the seller can have a much cheaper and…

计算机科学与博弈论 · 计算机科学 2021-06-03 Amir Ban , Avi Cohen , Shahar Dobzinski , Itai Ashlagi

We consider the problem of designing auctions which maximize consumer surplus (i.e., the social welfare minus the payments charged to the buyers). In the consumer surplus maximization problem, a seller with a set of goods faces a set of…

计算机科学与博弈论 · 计算机科学 2025-03-18 Tomer Ezra , Daniel Schoepflin , Ariel Shaulker

We develop a general duality-theory framework for revenue maximization in additive Bayesian auctions. The framework extends linear programming duality and complementarity to constraints with partial derivatives. The dual system reveals the…

计算机科学与博弈论 · 计算机科学 2018-01-16 Yiannis Giannakopoulos , Elias Koutsoupias

We study revenue variance in the sale of $k$ homogeneous items to risk-neutral, unit-demand bidders with independent private values. Although the Revenue Equivalence Theorem implies that standard auctions generate the same expected revenue,…

计算机科学与博弈论 · 计算机科学 2026-02-16 Marek Bojko , Preston McAfee , Renato Paes Leme , Balasubramanian Sivan , Sergei Vassilvitskii

Selling a perfectly divisible item to potential buyers is a fundamental task with apparent applications to pricing communication bandwidth and cloud computing services. Surprisingly, despite the rich literature on single-item auctions,…

计算机科学与博弈论 · 计算机科学 2025-02-11 Ioannis Caragiannis , Zhile Jiang , Apostolis Kerentzis

In this paper we consider multidimensional mechanism design problem for selling discrete substitutable items to a group of buyers. Previous work on this problem mostly focus on stochastic description of valuations used by the seller.…

计算机科学与博弈论 · 计算机科学 2017-01-05 Maciej Drwal

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

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

Motivated by the recent popularity of machine learning training services, we introduce a contract design problem in which a provider sells a service that results in an outcome of uncertain quality for the buyer. The seller has a set of…

计算机科学与博弈论 · 计算机科学 2026-05-06 Krishnamurthy Iyer , Alec Sun , Haifeng Xu , You Zu

In this paper we define a new auction, called the Draw auction. It is based on the implementation of a draw when a minimum price of sale is not reached. We find that a Bayesian Nash equilibrium is reached in the Draw auction when each…

计算机科学与博弈论 · 计算机科学 2024-03-14 Javier Castro , Rosa Espínola , Inmaculada Gutiérrez , Daniel Gómez

We study the problem of when to sell an indivisible object. There is a monopolistic seller who owns an indivisible object and plans to sell it over a given span of time to the set of potential buyers whose valuations for the object evolve…

理论经济学 · 经济学 2024-08-05 Kiho Yoon

Auction theory traditionally assumes that bidders' valuation distributions are known to the auctioneer, such as in the celebrated, revenue-optimal Myerson auction. However, this theory does not describe how the auctioneer comes to possess…

计算机科学与博弈论 · 计算机科学 2014-07-11 Avrim Blum , Yishay Mansour , Jamie Morgenstern

An unconstrained nonlinear binary optimization problem of selecting a maximum expected value subset of items is considered. Each item is associated with a profit and probability. Each of the items succeeds or fails independently with the…

计算复杂性 · 计算机科学 2017-06-23 Noam Goldberg , Gabor Rudolf

We study multi-item profit maximization when there is an underlying distribution over buyers' values. In practice, a full description of the distribution is typically unavailable, so we study the setting where the mechanism designer only…

机器学习 · 计算机科学 2023-05-09 Maria-Florina Balcan , Tuomas Sandholm , Ellen Vitercik

We study the envy free pricing problem faced by a seller who wishes to maximize revenue by setting prices for bundles of items. If there is an unlimited supply of items and agents are single minded then we show that finding the revenue…

计算机科学与博弈论 · 计算机科学 2016-09-08 Amos Fiat , Amiram Wingarten

We study the multi-item mechanism design problem where a monopolist sells $n$ heterogeneous items to a single buyer. We focus on buy-many mechanisms, a natural class of mechanisms frequently used in practice. The buy-many property allows…

计算机科学与博弈论 · 计算机科学 2020-03-25 Shuchi Chawla , Yifeng Teng , Christos Tzamos

The primary contribution of this paper resides in devising constant-factor approximation guarantees for revenue maximization in two-sided matching markets, under general pairwise rewards. A major distinction between our work and…

计算机科学与博弈论 · 计算机科学 2024-11-26 Dan Nissim , Danny Segev , Alfredo Torrico