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This paper focuses on two-sided matching where one side (a hospital or firm) is matched to the other side (a doctor or worker) so as to maximize a cardinal objective under general feasibility constraints. In a standard model, even though…

计算机科学与博弈论 · 计算机科学 2019-07-10 Yasushi Kawase , Atsushi Iwasaki

In this paper, we propose a new recommendation algorithm for addressing the problem of two-sided online matching markets with complementary preferences and quota constraints, where agents' preferences are unknown a priori and must be…

机器学习 · 统计学 2024-05-30 Yuantong Li , Guang Cheng , Xiaowu Dai

In this paper, we demonstrate that in many NP-complete variants of the stable matching problem, such as the Stable Hypergraph Matching problem, the Stable Multicommodity Flow problem, and the College Admission problem with common quotas, a…

计算机科学与博弈论 · 计算机科学 2025-02-11 Gergely Csáji

We consider the problem of stable matching with dynamic preference lists. At each time step, the preference list of some player may change by swapping random adjacent members. The goal of a central agency (algorithm) is to maintain an…

计算机科学与博弈论 · 计算机科学 2016-06-29 Varun Kanade , Nikos Leonardos , Frédéric Magniez

In this paper, we begin by discussing different types of preference profiles related to the stable marriage problem. We then introduce the concept of soulmates, which are a man and a woman who rank each other first. Inversely, we examine…

In the Student / Project Allocation problem (SPA) we seek to assign students to individual or group projects offered by lecturers. Students provide a list of projects they find acceptable in order of preference. Each student can be assigned…

数据结构与算法 · 计算机科学 2015-07-06 Augustine Kwanashie , Robert W. Irving , David F. Manlove , Colin T. S. Sng

The class of assignment problems is a fundamental and well-studied class in the intersection of Social Choice, Computational Economics and Discrete Allocation. In a general assignment problem, a group of agents expresses preferences over a…

数据结构与算法 · 计算机科学 2021-05-25 Barak Steindl , Meirav Zehavi

Recent research has turned to Reinforcement Learning (RL) to solve challenging decision problems, as an alternative to hand-tuned heuristics. RL can learn good policies without the need for modeling the environment's dynamics. Despite this…

机器学习 · 计算机科学 2023-01-30 Pouya Hamadanian , Malte Schwarzkopf , Siddartha Sen , Mohammad Alizadeh

Matching algorithms have demonstrated great success in several practical applications, but they often require centralized coordination and plentiful information. In many modern online marketplaces, agents must independently seek out and…

计算机科学与博弈论 · 计算机科学 2025-01-14 Vade Shah , Bryce L. Ferguson , Jason R. Marden

Agents learning to act autonomously in real-world domains must acquire a model of the dynamics of the domain in which they operate. Learning domain dynamics can be challenging, especially where an agent only has partial access to the world…

机器学习 · 计算机科学 2012-10-19 Kira Mourao , Luke S. Zettlemoyer , Ronald P. A. Petrick , Mark Steedman

We study (coalitional) exchange stability, which Alcalde [Economic Design, 1995] introduced as an alternative solution concept for matching markets involving property rights, such as assigning persons to two-bed rooms. Here, a matching of a…

计算机科学与博弈论 · 计算机科学 2021-05-18 Jiehua Chen , Adrian Chmurovic , Fabian Jogl , Manuel Sorge

The \textsc{Housing Market} problem is a widely studied resource allocation problem. In this problem, each agent can only receive a single object and has preferences over all objects. Starting from an initial endowment, we want to reach a…

数据结构与算法 · 计算机科学 2020-07-23 Sen Huang , Mingyu Xiao

We propose a novel and efficient algorithm for the collaborative preference completion problem, which involves jointly estimating individualized rankings for a set of entities over a shared set of items, based on a limited number of…

机器学习 · 统计学 2016-11-16 Suriya Gunasekar , Oluwasanmi Koyejo , Joydeep Ghosh

In many applications such as rationing medical care and supplies, university admissions, and the assignment of public housing, the decision of who receives an allocation can be justified by various normative criteria. Such settings have…

计算机科学与博弈论 · 计算机科学 2023-05-30 Siddhartha Banerjee , Matthew Eichhorn , David Kempe

We consider the three-dimensional stable matching problem with cyclic preferences, a problem originally proposed by Knuth. Despite extensive study of the problem by experts from different areas, the question of whether every instance of…

计算机科学与博弈论 · 计算机科学 2018-10-02 Kanstantsin Pashkovich , Laurent Poirrier

We study stable allocations in an exchange economy with indivisible goods. The problem is well-known to be challenging, and rich enough to encode fundamentally unstable economies, such as the roommate problem. Our approach stems from…

理论经济学 · 经济学 2024-02-23 Federico Echenique , Sumit Goel , SangMok Lee

Reinforcement learning (RL) techniques have achieved impressive performance on simulated benchmarks such as Atari100k, yet recent advances remain largely confined to simulation and show limited transfer to real-world domains. A central…

机器学习 · 计算机科学 2025-10-06 Aryan Amit Barsainyan , Jing Yu Lim , Dianbo Liu

We investigate the Euclidean $d$-Dimensional Stable Roommates problem, which asks whether a given set~$V$ of $d \cdot n$ points from the 2-dimensional Euclidean space can be partitioned into $n$ disjoint (unordered) subsets…

计算机科学与博弈论 · 计算机科学 2022-07-05 Jiehua Chen , Sanjukta Roy

The witnessed boom in mobility results in many problems such as urbanization, costly construction of many highways and air pollution. In an attempt to address these problems, in this master, we are interested in the implementation of a…

计算机与社会 · 计算机科学 2019-01-14 Sawsen Ben Nasr

We study truthful mechanisms for matching and related problems in a partial information setting, where the agents' true utilities are hidden, and the algorithm only has access to ordinal preference information. Our model is motivated by the…

计算机科学与博弈论 · 计算机科学 2016-10-20 Elliot Anshelevich , Shreyas Sekar
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