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We consider the task of allocating indivisible items to agents, when the agents' preferences over the items are identical. The preferences are captured by means of a directed acyclic graph, with vertices representing items and an edge…

We consider a setting in which $N$ agents aim to speedup a common Stochastic Approximation (SA) problem by acting in parallel and communicating with a central server. We assume that the up-link transmissions to the server are subject to…

In a multiple partners matching problem the agents can have multiple partners up to their capacities. In this paper we consider both the two-sided many-to-many stable matching problem and the one-sided stable fixtures problem under…

计算机科学与博弈论 · 计算机科学 2022-02-14 Péter Biró , Gergely Csáji

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

数据结构与算法 · 计算机科学 2021-05-24 Barak Steindl , Meirav Zehavi

It is well known that a stable matching in a many-to-one matching market with couples need not exist. We introduce a new matching algorithm for such markets and show that for a general class of large random markets the algorithm will find a…

计算机科学与博弈论 · 计算机科学 2015-03-17 Itai Ashlagi , Mark Braverman , Avinatan Hassidim

We introduce the problem of adapting a stable matching to forced and forbidden pairs. Specifically, given a stable matching $M_1$, a set $Q$ of forced pairs, and a set $P$ of forbidden pairs, we want to find a stable matching that includes…

计算机科学与博弈论 · 计算机科学 2022-11-23 Niclas Boehmer , Klaus Heeger

Many-to-one matching markets exist in numerous different forms, such as college admissions, matching medical interns to hospitals for residencies, assigning housing to college students, and the classic firms and workers market. In all these…

社会与信息网络 · 计算机科学 2011-07-25 Elizabeth Bodine-Baron , Christina Lee , Anthony Chong , Babak Hassibi , Adam Wierman

Given $n$ men, $n$ women, and $n$ dogs, each man has an incomplete preference list of women, each woman does an incomplete preference list of dogs, and each dog does an incomplete preference list of men. We understand a family as a triple…

组合数学 · 数学 2021-07-22 E. Yu. Lerner , R. E. Lerner

A group of $n$ agents with numerical preferences for each other are to be assigned to the $n$ seats of a dining table. We study two natural topologies:~circular (cycle) tables and panel (path) tables. For a given seating arrangement, an…

计算机科学与博弈论 · 计算机科学 2023-10-10 Damien Berriaud , Andrei Constantinescu , Roger Wattenhofer

We consider a many-to-one variant of the stable matching problem. More concretely, we consider the variant of the stable matching problem where one side has a matroid constraint. Furthermore, we consider the situation where the preference…

计算机科学与博弈论 · 计算机科学 2022-09-08 Naoyuki Kamiyama

We study the classical, two-sided stable marriage problem under pairwise preferences. In the most general setting, agents are allowed to express their preferences as comparisons of any two of their edges and they also have the right to…

离散数学 · 计算机科学 2018-10-02 Ágnes Cseh , Attila Juhos

In a stable matching setting, we consider a query model that allows for an interactive learning algorithm to make precisely one type of query: proposing a matching, the response to which is either that the proposed matching is stable, or a…

计算机科学与博弈论 · 计算机科学 2020-09-22 Ehsan Emamjomeh-Zadeh , Yannai A. Gonczarowski , David Kempe

Matching markets, where agents are assigned to one another based on preferences and capacity constraints, are pervasive in various domains. This paper introduces MATWA (https://matwa.optimalmatching.com), a web application offering a rich…

数据结构与算法 · 计算机科学 2024-09-09 Frederik Glitzner , David Manlove

We study the problem of online learning in competitive settings in the context of two-sided matching markets. In particular, one side of the market, the agents, must learn about their preferences over the other side, the firms, through…

人工智能 · 计算机科学 2022-06-07 Chinmay Maheshwari , Eric Mazumdar , Shankar Sastry

In this paper, we study the problem of eliciting preferences of agents in the house allocation model. For this we build on a recent model of Hosseini et al.[AAAI'21] and focus on the task of eliciting preferences to find matchings which are…

计算机科学与博弈论 · 计算机科学 2021-12-09 Jannik Peters

This paper studies matching markets where institutions are matched with possibly more than one individual. The matching market contains some couples who view the pair of jobs as complements. First, we show by means of an example that a…

理论经济学 · 经济学 2025-07-11 Shashwat Khare , Souvik Roy , Ton Storcken

Online platforms in the Internet Economy commonly incorporate recommender systems that recommend products (or "arms") to users (or "agents"). A key challenge in this domain arises from myopic agents who are naturally incentivized to exploit…

信息检索 · 计算机科学 2024-06-19 Xiaowu Dai , Wenlu Xu , Yuan Qi , Michael I. Jordan

We study matching settings in which a set of agents have private utilities over a set of items. Each agent reports a partition of the items into approval sets of different threshold utility levels. Given this limited information on input,…

计算机科学与博弈论 · 计算机科学 2024-01-19 Mohamad Latifian , Alexandros A. Voudouris

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 popular matching problem is of matching a set of applicants to a set of posts, where each applicant has a preference list, ranking a non-empty subset of posts in the order of preference, possibly with ties. A matching M is popular if…

数据结构与算法 · 计算机科学 2019-12-23 Changyong Hu , Vijay K. Garg