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In scheduling and timetabling applications, the mutual-exclusion constraint stipulates that certain pairs of tasks that cannot be executed at the same time. This corresponds to the vertex colouring problem in graph theory, for which there…

最优化与控制 · 数学 2019-04-09 Jakub Marecek , Andrew J. Parkes

We introduce the problem of assigning resources to improve their utilization. The motivation comes from settings where agents have uncertainty about their own values for using a resource, and where it is in the interest of a group that…

计算机科学与博弈论 · 计算机科学 2018-11-02 Hongyao Ma , Reshef Meir , David C. Parkes , James Zou

Modeling and shaping how information spreads through a network is a major research topic in network analysis. While initially the focus has been mostly on efficiency, recently fairness criteria have been taken into account in this setting.…

社会与信息网络 · 计算机科学 2023-02-28 Ruben Becker , Gianlorenzo D'Angelo , Sajjad Ghobadi

Constraint satisfaction problems have been studied in numerous fields with practical and theoretical interests. In recent years, major breakthroughs have been made in a study of counting constraint satisfaction problems (or #CSPs). In…

计算复杂性 · 计算机科学 2012-10-23 Tomoyuki Yamakami

Diversity plays a crucial role in multiple contexts such as team formation, representation of minority groups and generally when allocating resources fairly. Given a community composed by individuals of different types, we study the problem…

离散数学 · 计算机科学 2021-07-13 Sebastian Perez-Salazar , Alfredo Torrico , Victor Verdugo

Various real-life planning problems require making upfront decisions before all parameters of the problem have been disclosed. An important special case of such problem especially arises in scheduling and staff rostering problems, where a…

数据结构与算法 · 计算机科学 2017-03-20 David Adjiashvili , Viktor Bindewald , Dennis Michaels

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

信息检索 · 计算机科学 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

The fundamental assignment problem is in search of welfare maximization mechanisms to allocate items to agents when the private preferences over indivisible items are provided by self-interested agents. The mainstream mechanism…

计算机科学与博弈论 · 计算机科学 2019-06-04 Yansong Gao , Jie Zhang

We consider the following communication problem: Alice and Bob each have some valuation functions $v_1(\cdot)$ and $v_2(\cdot)$ over subsets of $m$ items, and their goal is to partition the items into $S, \bar{S}$ in a way that maximizes…

计算机科学与博弈论 · 计算机科学 2017-04-13 Mark Braverman , Jieming Mao , S. Matthew Weinberg

In this paper, we propose an online-matching-based model to study the assignment problems arising in a wide range of online-matching markets, including online recommendations, ride-hailing platforms, and crowdsourcing markets. It features…

计算机科学与博弈论 · 计算机科学 2022-09-19 Pan Xu

In this paper we study a resource allocation problem that encodes correlation between items in terms of \conflict and maximizes the minimum utility of the agents under a conflict free allocation. Admittedly, the problem is computationally…

数据结构与算法 · 计算机科学 2023-09-12 Sushmita Gupta , Pallavi Jain , Saket Saurabh

We consider transferable-utility profit-sharing games that arise from settings in which agents need to jointly choose one of several alternatives, and may use transfers to redistribute the welfare generated by the chosen alternative. One…

理论经济学 · 经济学 2019-09-26 Moshe Babaioff , Uriel Feige

We propose a new model for aggregating preferences over a set of indivisible items based on a quantile value. In this model, each agent is endowed with a specific quantile, and the value of a given bundle is defined by the corresponding…

计算机科学与博弈论 · 计算机科学 2026-05-06 Haris Aziz , Shivika Narang , Mashbat Suzuki

This paper analyzes the problem of assigning weights to edges incrementally in a dynamic complete bipartite graph consisting of producer and consumer nodes. The objective is to minimize the overall cost while satisfying certain constraints.…

分布式、并行与集群计算 · 计算机科学 2011-05-03 Ankur Sahai

We study the Second Price Matching problem, introduced by Azar, Birnbaum, Karlin, and Nguyen in 2009. In this problem, a bipartite graph (bidders and goods) is given, and the profit of a matching is the number of matches containing a second…

数据结构与算法 · 计算机科学 2025-05-12 Rom Pinchasi , Neta Singer , Lukas Vogl , Jiaye Wei

Participatory budgeting (PB) is a voting paradigm for distributing a divisible resource, usually called a budget, among a set of projects by aggregating the preferences of individuals over these projects. It is implemented quite extensively…

计算机科学与博弈论 · 计算机科学 2024-10-29 Gogulapati Sreedurga

Fairness in multiwinner elections is studied in varying contexts. For instance, diversity of candidates and representation of voters are both separately termed as being fair. A common denominator to ensure fairness across all such contexts…

计算机科学与博弈论 · 计算机科学 2022-11-24 Kunal Relia

The profile-based matching problem is the problem of finding a matching that optimizes profile from an instance $(G, r, \langle u_1, \dots, u_r \rangle)$, where $G$ is a bipartite graph $(A \cup B, E)$, $r$ is the number of utility…

离散数学 · 计算机科学 2025-07-02 Seongbeom Park

Allocating multiple scarce items across a set of individuals is an important practical problem. In the case of divisible goods and additive preferences a convex program can be used to find the solution that maximizes Nash welfare (MNW). The…

计算机科学与博弈论 · 计算机科学 2019-09-25 Christian Kroer , Alexander Peysakhovich

Schelling's model is an influential model that reveals how individual perceptions and incentives can lead to residential segregation. Inspired by a recent stream of work, we study welfare guarantees and complexity in this model with respect…

计算机科学与博弈论 · 计算机科学 2022-03-21 Martin Bullinger , Warut Suksompong , Alexandros A. Voudouris