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We study combinatorial auctions where each item is sold separately but simultaneously via a second price auction. We ask whether it is possible to efficiently compute in this game a pure Nash equilibrium with social welfare close to the…

计算机科学与博弈论 · 计算机科学 2015-06-10 Shahar Dobzinski , Hu Fu , Robert Kleinberg

Game theory has been developed by scientists as a theory of strategic interaction among players who are supposed to be perfectly rational. These strategic interactions might have been presented in an auction, a business negotiation, a chess…

计算机科学与博弈论 · 计算机科学 2020-04-07 Medet Kanmaz , Elif Surer

The Fisher market is one of the most fundamental models for resource allocation problems in economic theory, wherein agents spend a budget of currency to buy goods that maximize their utilities, while producers sell capacity constrained…

计算机科学与博弈论 · 计算机科学 2021-06-22 Devansh Jalota , Marco Pavone , Qi Qi , Yinyu Ye

Linear Fisher market is one of the most fundamental economic models. The market is traditionally examined on the basis of individual's price-taking behavior. However, this assumption breaks in markets such as online advertising and…

计算机科学与博弈论 · 计算机科学 2024-07-17 Juncheng Li , Pingzhong Tang

We introduce a new class of combinatorial markets in which agents have covering constraints over resources required and are interested in delay minimization. Our market model is applicable to several settings including scheduling, cloud…

计算机科学与博弈论 · 计算机科学 2017-04-17 Nikhil Devanur , Jugal Garg , Ruta Mehta , Vijay V. Vazirani , Sadra Yazdanbod

Traditional methods for computing equilibria in auctions become computationally intractable as auction complexity increases, particularly in multi-item and dynamic auctions. This paper introduces a self-play based reinforcement learning…

综合经济学 · 经济学 2024-10-21 Pranjal Rawat

The European power grid can be divided into several market areas where the price of electricity is determined in a day-ahead auction. Market participants can provide continuous hourly bid curves and combinatorial bids with associated…

最优化与控制 · 数学 2015-03-02 Alexander Martin , Johannes C. Müller , Sebastian Pokutta

We compute equilibrium strategies in multi-stage games with continuous signal and action spaces as they are widely used in the management sciences and economics. Examples include sequential sales via auctions, multi-stage elimination…

计算机科学与博弈论 · 计算机科学 2024-07-23 Fabian R. Pieroth , Nils Kohring , Martin Bichler

We study the efficiency of simple combinatorial auctions for the allocation of a set of items to a set of agents, with private subadditive valuation functions and budget constraints. The class we consider includes all auctions that allocate…

计算机科学与博弈论 · 计算机科学 2020-07-29 Alexandros A. Voudouris

Designing an incentive compatible auction that maximizes expected revenue is a central problem in Auction Design. While theoretical approaches to the problem have hit some limits, a recent research direction initiated by Duetting et al.…

计算机科学与博弈论 · 计算机科学 2021-10-26 Jad Rahme , Samy Jelassi , S. Matthew Weinberg

Auctions play an important role in electronic commerce, and have been used to solve problems in distributed computing. Automated approaches to designing effective auction mechanisms are helpful in reducing the burden of traditional game…

计算机科学与博弈论 · 计算机科学 2010-02-08 Jinzhong Niu , Kai Cai , Simon Parsons

Two general algorithms based on opportunity costs are given for approximating a revenue-maximizing set of bids an auctioneer should accept, in a combinatorial auction in which each bidder offers a price for some subset of the available…

计算工程、金融与科学 · 计算机科学 2007-05-23 Karhan Akcoglu , James Aspnes , Bhaskar DasGupta , Ming-Yang Kao

Auctions are important mechanisms extensively implemented in various markets, e.g., search engines' keyword auctions, antique auctions, etc. Finding an optimal auction mechanism is extremely difficult due to the constraints of imperfect…

机器学习 · 计算机科学 2025-07-28 Jiayin Liu , Chenglong Zhang

The goal of an auction is to determine commodity prices such that all participants are perfectly happy. Such a solution is called a competitive equilibrium and does not exist in general. For this reason we are interested in solutions which…

最优化与控制 · 数学 2013-09-04 Johannes C. Müller

In this paper, we bring consumer theory to bear in the analysis of Fisher markets whose buyers have arbitrary continuous, concave, homogeneous (CCH) utility functions representing locally non-satiated preferences. The main tools we use are…

计算机科学与博弈论 · 计算机科学 2022-01-06 Denizalp Goktas , Enrique Areyan Viqueira , Amy Greenwald

We present polynomial-time algorithms as well as hardness results for equilibrium computation in atomic splittable routing games, for the case of general convex cost functions. These games model traffic in freight transportation, market…

计算机科学与博弈论 · 计算机科学 2018-04-27 Umang Bhaskar , Phani Raj Lolakapuri

This study is focused on periodic Fisher markets where items with time-dependent and stochastic values are regularly replenished and buyers aim to maximize their utilities by spending budgets on these items. Traditional approaches of…

计算机科学与博弈论 · 计算机科学 2024-06-04 Yongge Yang , Yu-Ching Lee , Po-An Chen , Chuang-Chieh Lin

We consider the classical linear assignment problem, and we introduce new auction algorithms for its optimal and suboptimal solution. The algorithms are founded on duality theory, and are related to ideas of competitive bidding by persons…

计算机科学与博弈论 · 计算机科学 2023-10-24 Dimitri Bertsekas

In this paper two algorithms with the goal of generating the equilibrium set of the power allocation game first developed in \cite{allocation} are proposed. Based on the first algorithm, the geometric property of the pure strategy Nash…

计算机科学与博弈论 · 计算机科学 2018-05-08 Yuke Li , Jiahua Yue , Fengjiao Liu , A. Stephen Morse

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