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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…

Machine Learning · Statistics 2024-05-30 Yuantong Li , Guang Cheng , Xiaowu Dai

Sequential learning in a multi-agent resource constrained matching market has received significant interest in the past few years. We study decentralized learning in two-sided matching markets where the demand side (aka players or agents)…

Machine Learning · Computer Science 2025-06-23 Satush Parikh , Soumya Basu , Avishek Ghosh , Abishek Sankararaman

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…

Computer Science and Game Theory · Computer Science 2020-09-22 Ehsan Emamjomeh-Zadeh , Yannai A. Gonczarowski , David Kempe

We investigate the problem of learning an equilibrium in a generalized two-sided matching market, where agents can adaptively choose their actions based on their assigned matches. Specifically, we consider a setting in which matched agents…

Machine Learning · Computer Science 2025-06-05 Andreas Athanasopoulos , Christos Dimitrakakis

We study variants of the stable marriage and college admissions models in which the agents are allowed to express weak preferences over the set of agents on the other side of the market and the option of remaining unmatched. For the…

Computer Science and Game Theory · Computer Science 2017-03-31 Nevzat Onur Domaniç , Chi-Kit Lam , C. Gregory Plaxton

Many-to-many matching with contracts is studied in the framework of revealed preferences. All preferences are described by choice functions that satisfy natural conditions. Under a no-externality assumption individual preferences can be…

Computer Science and Game Theory · Computer Science 2020-03-05 Daniel Lehmann

The stable matching problem is a prototype model in economics and social sciences where agents act selfishly to optimize their own satisfaction, subject to mutually conflicting constraints. A stable matching is a pairing of adjacent…

Disordered Systems and Neural Networks · Physics 2007-05-23 Stephan Mertens

We study matching markets with ties, where workers on one side of the market may have tied preferences over jobs, determined by their matching utilities. Unlike classical two-sided markets with strict preferences, no single stable matching…

Computer Science and Game Theory · Computer Science 2025-10-23 Shiyun Lin , Simon Mauras , Nadav Merlis , Vianney Perchet

Two-sided matching markets have demonstrated significant impact in many real-world applications, including school choice, medical residency placement, electric vehicle charging, ride sharing, and recommender systems. However, traditional…

Machine Learning · Computer Science 2024-12-03 Hadi Hosseini , Duohan Zhang

We initiate the study of deep learning for the automated design of two-sided matching mechanisms. What is of most interest is to use machine learning to understand the possibility of new tradeoffs between strategy-proofness and stability.…

Computer Science and Game Theory · Computer Science 2023-11-16 Sai Srivatsa Ravindranath , Zhe Feng , Shira Li , Jonathan Ma , Scott D. Kominers , David C. Parkes

Sequential fundraising in two sided online platforms enable peer to peer lending by sequentially bringing potential contributors, each of whose decisions impact other contributors in the market. However, understanding the dynamics of…

Machine Learning · Computer Science 2023-08-03 Soumajyoti Sarkar

Many countries around the world, including Korea, use the school choice lottery system. However, this method has a problem in that many students are assigned to less-preferred schools based on the lottery results. In addition, the task of…

Discrete Mathematics · Computer Science 2024-01-12 Seongbeom Park

We study the problem of decision-making in the setting of a scarcity of shared resources when the preferences of agents are unknown a priori and must be learned from data. Taking the two-sided matching market as a running example, we focus…

Computer Science and Game Theory · Computer Science 2021-11-24 Xiaowu Dai , Michael I. Jordan

In the Stable Marriage Problem two sets of agents must be paired according to mutual preferences, which may happen to conflict. We present two generalizations of its sex-oriented version, aiming to take into account correlations between the…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. Caldarelli , Andrea Capocci , Paolo Laureti

In stable matching, one must find a matching between two sets of agents, commonly men and women, or job applicants and job positions. Each agent has a preference ordering over who they want to be matched with. Moreover a matching is said to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-02 Andrei Constantinescu , Marc Dufay , Diana Ghinea , Roger Wattenhofer

We study the stable marriage problem in the partial information setting where the agents, although they have an underlying true strict linear order, are allowed to specify partial orders. Specifically, we focus on the case where the agents…

Computer Science and Game Theory · Computer Science 2018-10-09 Vijay Menon , Kate Larson

Focusing on the bipartite Stable Marriage problem, we investigate different robustness measures related to stable matchings. We analyze the computational complexity of computing them and analyze their behavior in extensive experiments on…

Computer Science and Game Theory · Computer Science 2024-08-20 Kimon Boehmer , Niclas Boehmer

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…

Discrete Mathematics · Computer Science 2018-10-02 Ágnes Cseh , Attila Juhos

The housing market, also known as one-sided matching market, is a classic exchange economy model where each agent on the demand side initially owns an indivisible good (a house) and has a personal preference over all goods. The goal is to…

Computer Science and Game Theory · Computer Science 2026-01-08 Shiyun Lin

We propose two solution concepts for matchings under preferences: robustness and near stability. The former strengthens while the latter relaxes the classic definition of stability by Gale and Shapley (1962). Informally speaking, robustness…

Computer Science and Game Theory · Computer Science 2019-06-06 Jiehua Chen , Piotr Skowron , Manuel Sorge