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We study the following vertex-weighted online bipartite matching problem: $G(U, V, E)$ is a bipartite graph. The vertices in $U$ have weights and are known ahead of time, while the vertices in $V$ arrive online in an arbitrary order and…

数据结构与算法 · 计算机科学 2010-07-09 Gagan Aggarwal , Gagan Goel , Chinmay Karande , Aranyak Mehta

The fair allocation of indivisible resources is a fundamental problem. Existing research has developed various allocation mechanisms or algorithms to satisfy different fairness notions. For example, round robin (RR) was proposed to meet the…

人工智能 · 计算机科学 2025-05-13 Ryota Maruo , Koh Takeuchi , Hisashi Kashima

We study a sequential decision-making model where a set of items is repeatedly matched to the same set of agents over multiple rounds. The objective is to determine a sequence of matchings that either maximizes the utility of the least…

计算机科学与博弈论 · 计算机科学 2025-10-07 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

We study a model of auction design where a seller is selling a set of objects to a set of agents who can be assigned no more than one object. Each agent's preference over (object, payment) pair need not be quasilinear. If the domain…

理论经济学 · 经济学 2026-02-20 Tomoya Kazumura , Debasis Mishra , Shigehiro Serizawa

In many repeated auction settings, participants care not only about how frequently they win but also how their winnings are distributed over time. This problem arises in various practical domains where avoiding congested demand is crucial,…

计算机科学与博弈论 · 计算机科学 2025-06-13 Giannis Fikioris , Robert Kleinberg , Yoav Kolumbus , Raunak Kumar , Yishay Mansour , Éva Tardos

We study the problem of fairly allocating $m$ indivisible goods to $n$ agents, where agents may have different preferences over the goods. In the traditional setting, agents' valuations are provided as inputs to the algorithm. In this…

计算机科学与博弈论 · 计算机科学 2025-08-05 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

We study buyer-optimal procurement mechanisms when quality is contractible. When some costs are borne by every participant of a procurement auction regardless of winning, the classic analysis should be amended. We show that an optimal…

理论经济学 · 经济学 2024-11-20 Pasha Andreyanov , Ilia Krasikov , Alex Suzdaltsev

Market equilibria of matching markets offer an intuitive and fair solution for matching problems without money with agents who have preferences over the items. Such a matching market can be viewed as a variation of Fisher market, albeit…

计算机科学与博弈论 · 计算机科学 2017-04-03 Saeed Alaei , Pooya Jalaly , Eva Tardos

We initiate the study of computing envy-free allocations of indivisible items in the extension setting, i.e., when some part of the allocation is fixed and the task is to allocate the remaining items. Given the known NP-hardness of the…

计算机科学与博弈论 · 计算机科学 2025-03-04 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Tiger-Lily Goldsmith , Stavros D. Ioannidis

This paper studies a class of distributed optimization problems with coupled equality constraints in networked systems. Many existing distributed algorithms rely on solving local subproblems via the $\operatorname{argmin}$ operator in each…

最优化与控制 · 数学 2025-11-26 Chenyang Qiu , Zongli Lin

We study the problem of finding personalized reserve prices for unit-demand buyers in multi-unit eager VCG auctions with correlated buyers. The input to this problem is a dataset of submitted bids of $n$ buyers in a set of auctions. The…

计算机科学与博弈论 · 计算机科学 2020-07-27 Mahsa Derakhshan , David M. Pennock , Aleksandrs Slivkins

Optimizing shared vehicle systems (bike/scooter/car/ride-sharing) is more challenging compared to traditional resource allocation settings due to the presence of \emph{complex network externalities} -- changes in the demand/supply at any…

计算机科学与博弈论 · 计算机科学 2021-05-12 Siddhartha Banerjee , Daniel Freund , Thodoris Lykouris

We present an optimal, combinatorial 1-1/e approximation algorithm for monotone submodular optimization over a matroid constraint. Compared to the continuous greedy algorithm (Calinescu, Chekuri, Pal and Vondrak, 2008), our algorithm is…

数据结构与算法 · 计算机科学 2013-11-20 Yuval Filmus , Justin Ward

We study the problem in which a central planner sequentially allocates a single resource to multiple strategic agents using their utility reports at each round, but without using any monetary transfers. We consider general agent utility…

计算机科学与博弈论 · 计算机科学 2024-08-20 Moise Blanchard , Patrick Jaillet

Multi-objective optimization is a common problem in practical applications, and multi-objective evolutionary algorithm (MOEA) is considered as one of the effective methods to solve these problems. However, their randomness sometimes…

神经与进化计算 · 计算机科学 2024-10-04 Wanyi Liu , Long Chen , Zhenzhou Tang

We introduce a new numerical framework to learn optimal bidding strategies in repeated auctions when the seller uses past bids to optimize her mechanism. Crucially, we do not assume that the bidders know what optimization mechanism is used…

计算机科学与博弈论 · 计算机科学 2021-02-09 Thomas Nedelec , Jules Baudet , Vianney Perchet , Noureddine El Karoui

We study an online learning problem on dynamic pricing and resource allocation, where we make joint pricing and inventory decisions to maximize the overall net profit. We consider the stochastic dependence of demands on the price, which…

机器学习 · 计算机科学 2025-05-23 Jianyu Xu , Xuan Wang , Yu-Xiang Wang , Jiashuo Jiang

We consider approximation algorithms for the problem of finding $x$ of minimal norm $\|x\|$ satisfying a linear system $\mathbf{A} x = \mathbf{b}$, where the norm $\|\cdot \|$ is arbitrary and generally non-Euclidean. We show a simple…

数据结构与算法 · 计算机科学 2016-06-28 Jonah Sherman

We propose a new primal-dual algorithmic framework for a prototypical constrained convex optimization template. The algorithmic instances of our framework are universal since they can automatically adapt to the unknown Holder continuity…

最优化与控制 · 数学 2015-11-09 Alp Yurtsever , Quoc Tran-Dinh , Volkan Cevher

Internet search companies sell advertisement slots based on users' search queries via an auction. While there has been a lot of attention on the auction process and its game-theoretic aspects, our focus is on the advertisers. In particular,…

数据结构与算法 · 计算机科学 2007-05-23 Jon Feldman , S. Muthukrishnan , Martin Pal , Cliff Stein