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Many hard computational social choice problems are known to become tractable when voters' preferences belong to a restricted domain, such as those of single-peaked or single-crossing preferences. However, to date, all algorithmic results of…

计算机科学与博弈论 · 计算机科学 2016-02-12 Edith Elkind , Martin Lackner

The stable marriage problem has been introduced in order to describe a complex system where individuals attempt to optimise their own satisfaction, subject to mutually conflicting constraints. Due to the potential large applicability of…

统计力学 · 物理学 2009-10-31 G. Caldarelli , A. Capocci

The classical stable marriage problem asks for a matching between a set of men and a set of women with no blocking pairs, which are pairs formed by a man and a woman who would both prefer switching from their current status to be paired up…

数据结构与算法 · 计算机科学 2018-05-21 Felix Bauckholt , Kanstantsin Pashkovich , Laura Sanità

In the roommate matching model, given a set of 2n agents and n rooms, we find an assignment of a pair of agents to a room. Although the roommate matching problem is well studied, the study of the model when agents have preference over both…

计算机科学与博弈论 · 计算机科学 2025-08-21 Jing Leng , Sanjukta Roy

Many allocation problems in multiagent systems rely on agents specifying cardinal preferences. However, allocation mechanisms can be sensitive to small perturbations in cardinal preferences, thus causing agents who make ``small" or…

计算机科学与博弈论 · 计算机科学 2021-07-13 Vijay Menon , Kate Larson

I study the problem of allocating objects among agents without using money. Agents can receive several objects and have dichotomous preferences, meaning that they either consider objects to be acceptable or not. In this setup, the…

经济学 · 定量金融 2018-07-09 Josue Ortega

When computing stable matchings, it is usually assumed that the preferences of the agents in the matching market are fixed. However, in many realistic scenarios, preferences change over time. Consequently, an initially stable matching may…

计算机科学与博弈论 · 计算机科学 2022-11-09 Niclas Boehmer , Klaus Heeger , Rolf Niedermeier

In this work, we consider ranking problems among a finite set of candidates: for instance, selecting the top-$k$ items among a larger list of candidates or obtaining the full ranking of all items in the set. These problems are often…

机器学习 · 统计学 2025-06-04 Ruiting Liang , Jake A. Soloff , Rina Foygel Barber , Rebecca Willett

Gale and Shapley's stable assignment problem has been extensively studied, applied, and extended. In the context of school choice, mechanisms often aim at finding an assignment that is more favorable to students. We investigate two…

数据结构与算法 · 计算机科学 2020-08-07 Yuri Faenza , Xuan Zhang

We consider a model for repeated stochastic matching where compatibility is probabilistic, is realized the first time agents are matched, and persists in the future. Such a model has applications in the gig economy, kidney exchange, and…

计算机科学与博弈论 · 计算机科学 2021-06-15 Mobin Y. Jeloudar , Irene Lo , Tristan Pollner , Amin Saberi

This paper studies a matching problem in which a group of agents cooperate with agents on two sides. In environments with either nontransferable or transferable utilities, we demonstrate that a stable outcome exists when cooperations…

理论经济学 · 经济学 2025-09-16 Chao Huang

We introduce a new model for two-sided matching which allows us to borrow popular fairness notions from the fair division literature such as envy-freeness up to one good and maximin share guarantee. In our model, each agent is matched to…

计算机科学与博弈论 · 计算机科学 2021-07-16 Rupert Freeman , Evi Micha , Nisarg Shah

An approximation of strategyproofness in large, two-sided matching markets is highly evident. Through simulations, one can observe that the percentage of agents with useful deviations decreases as the market size grows. Furthermore, there…

多智能体系统 · 计算机科学 2022-11-30 Lars Lien Ankile , Kjartan Krange , Yuto Yagi

In the Stable Roommates problem, we seek a stable matching of the agents into pairs, in which no two agents have an incentive to deviate from their assignment. It is well known that a stable matching is unlikely to exist, but a stable…

数据结构与算法 · 计算机科学 2024-11-26 Frederik Glitzner , David Manlove

Motivated by our collaboration with a major refugee resettlement agency in the U.S., we study a dynamic matching problem where each new arrival (a refugee case) must be matched immediately and irrevocably to one of the static resources (a…

数据结构与算法 · 计算机科学 2025-07-03 Kirk Bansak , Soonbong Lee , Vahideh Manshadi , Rad Niazadeh , Elisabeth Paulson

The Stable Roommates problem with Ties and Incomplete lists (SRTI) is a matching problem characterized by the preferences of agents over other agents as roommates, where the preferences may have ties or be incomplete. SRTI asks for a…

人工智能 · 计算机科学 2021-08-12 Muge Fidan , Esra Erdem

Given a bipartite graph, where the two sets of vertices are applicants and posts and ranks on the edges represent preferences of applicants over posts, a {\em rank-maximal} matching is one in which the maximum number of applicants is…

数据结构与算法 · 计算机科学 2020-09-24 Pratik Ghosal , Adam Kunysz , Katarzyna Paluch

Most recommender systems (RS) research assumes that a user's utility can be maximized independently of the utility of the other agents (e.g., other users, content providers). In realistic settings, this is often not true---the dynamics of…

机器学习 · 计算机科学 2020-08-20 Martin Mladenov , Elliot Creager , Omer Ben-Porat , Kevin Swersky , Richard Zemel , Craig Boutilier

Reasoning about agent preferences on a set of alternatives, and the aggregation of such preferences into some social ranking is a fundamental issue in reasoning about uncertainty and multi-agent systems. When the set of agents and the set…

计算机科学与博弈论 · 计算机科学 2012-07-19 Moshe Tennenholtz

In the stable marriage problem (SM), a mechanism that always outputs a stable matching is called a stable mechanism. One of the well-known stable mechanisms is the man-oriented Gale-Shapley algorithm (MGS). MGS has a good property that it…

计算机科学与博弈论 · 计算机科学 2019-02-18 Koki Hamada , Shuichi Miyazaki , Hiroki Yanagisawa