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The difference set of an outcome in an auction is the set of types that the auction mechanism maps to the outcome. We give a complete characterization of the geometry of the difference sets that can appear for a dominant strategy incentive…

计算机科学与博弈论 · 计算机科学 2022-11-04 Michael Joswig , Max Klimm , Sylvain Spitz

A central challenge in mechanism design is to develop truthful trade mechanisms that maximize the expected gains-from-trade (GFT) in two-sided markets with strategic agents. As achieving the full GFT is generally impossible, much of the…

计算机科学与博弈论 · 计算机科学 2026-04-02 Moshe Babaioff , Aviad Rubinstein , Xizhi Tan , Kangning Wang

In digital goods auctions, there is an auctioneer who sells an item with unlimited supply to a set of potential buyers, and the objective is to design truthful auction to maximize the total profit of the auctioneer. Motivated from an…

计算机科学与博弈论 · 计算机科学 2011-07-27 Nick Gravin , Pinyan Lu

Quantum game theory, whatever opinions may be held due to its abstract physical formalism, have already found various applications even outside the orthodox physics domain. In this paper we introduce the concept of a quantum auction, its…

综合金融 · 定量金融 2009-11-13 E. W. Piotrowski , J. Sladkowski

We propose a general stochastic framework for modelling repeated auctions in the Real Time Bidding (RTB) ecosystem using point processes. The flexibility of the framework allows a variety of auction scenarios including configuration of…

机器学习 · 统计学 2023-08-21 Seong Jin Lee , Bumsik Kim

We consider repeated multi-unit auctions with uniform pricing, which are widely used in practice for allocating goods such as carbon licenses. In each round, $K$ identical units of a good are sold to a group of buyers that have valuations…

计算机科学与博弈论 · 计算机科学 2024-01-17 Simina Brânzei , Mahsa Derakhshan , Negin Golrezaei , Yanjun Han

Submodular optimization has become increasingly prominent in machine learning and fairness has drawn much attention. In this paper, we propose to study the fair $k$-submodular maximization problem and develop a $\frac{1}{3}$-approximation…

机器学习 · 计算机科学 2024-11-11 Yanhui Zhu , Samik Basu , A. Pavan

The existence of incentive-compatible computationally-efficient protocols for combinatorial auctions with decent approximation ratios is the paradigmatic problem in computational mechanism design. It is believed that in many cases good…

计算机科学与博弈论 · 计算机科学 2009-05-14 Elchanan Mossel , Christos Papadimitriou , Michael Schapira , Yaron Singer

Finding optimal solutions for multi-unit combinatorial auctions is a hard problem and finding approximations to the optimal solution is also hard. We investigate the use of Branch-and-Bound techniques: they require both a way to bound from…

计算机科学与博弈论 · 计算机科学 2007-05-23 Rica Gonen , Daniel Lehmann

The design of revenue-maximizing combinatorial auctions, i.e. multi-item auctions over bundles of goods, is one of the most fundamental problems in computational economics, unsolved even for two bidders and two items for sale. In the…

机器学习 · 计算机科学 2016-06-15 Maria-Florina Balcan , Tuomas Sandholm , Ellen Vitercik

We study the problem of selling identical goods to n unit-demand bidders in a setting in which the total supply of goods is unknown to the mechanism. Items arrive dynamically, and the seller must make the allocation and payment decisions…

计算机科学与博弈论 · 计算机科学 2009-05-22 Moshe Babaioff , Liad Blumrosen , Aaron L. Roth

We study \emph{combinatorial procurement auctions}, where a buyer with a valuation function $v$ and budget $B$ wishes to buy a set of items. Each item $i$ has a cost $c_i$ and the buyer is interested in a set $S$ that maximizes $v(S)$…

计算机科学与博弈论 · 计算机科学 2015-03-19 Ashwinkumar Badanidiyuru , Shahar Dobzinski , Sigal Oren

In this paper, we develop a new method for finding an optimal biddingstrategy in sequential auctions, using a dynamic programming technique. Theexisting method assumes that the utility of a user is represented in anadditive form. Thus, the…

计算机科学与博弈论 · 计算机科学 2013-01-14 Hiromitsu Hattori , Makoto Yokoo , Yuko Sakurai , Toramatsu Shintani

We study the problem of hiring a team of selfish agents to perform a task. Each agent is assumed to own one or more elements of a set system, and the auctioneer is trying to purchase a feasible solution by conducting an auction. Our goal is…

计算机科学与博弈论 · 计算机科学 2011-06-14 Atsushi Iwasaki , David Kempe , Mahyar Salek , Makoto Yokoo

Auction design for the modern advertising market has gained significant prominence in the field of game theory. With the recent rise of auto-bidding tools, an increasing number of advertisers in the market are utilizing these tools for…

计算机科学与博弈论 · 计算机科学 2024-12-31 Changfeng Xu , Chao Peng , Chenyang Xu , Zhengfeng Yang

We study a class of procurement auctions with a budget constraint, where an auctioneer is interested in buying resources or services from a set of agents. Ideally, the auctioneer would like to select a subset of the resources so as to…

计算机科学与博弈论 · 计算机科学 2017-10-10 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

We consider some classical optimization problems in path planning and network transport, and we introduce new auction-based algorithms for their optimal and suboptimal solution. The algorithms are based on mathematical ideas that are…

最优化与控制 · 数学 2022-07-21 Dimitri Bertsekas

In this paper, we present a new model and two mechanisms for auctions in two-sided markets of buyers and sellers, where budget constraints are imposed on buyers. Our model incorporates polymatroidal environments, and is applicable to a wide…

计算机科学与博弈论 · 计算机科学 2018-09-17 Hiroshi Hirai , Ryosuke Sato

Motivated by the problem of market power in electricity markets, we introduced in previous works a mechanism for simplified markets of two agents with linear cost. In standard procurement auctions, the market power resulting from the…

理论经济学 · 经济学 2019-07-25 Benjamin Heymann , Alejandro Jofré

We study resource allocation in two-sided markets from a fundamental perspective and introduce a general modeling and algorithmic framework to effectively incorporate the complex and multidimensional aspects of fairness. Our main technical…

计算机科学与博弈论 · 计算机科学 2025-06-03 Javier Cembrano , Andrés Moraga , Victor Verdugo