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We consider a learning problem for the stable marriage model under unknown preferences for the left side of the market. We focus on the centralized case, where at each time step, an online platform matches the agents, and obtains a noisy…

Machine Learning · Computer Science 2025-01-07 Andreas Athanasopoulos , Anne-Marie George , Christos Dimitrakakis

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…

Computer Science and Game Theory · Computer Science 2015-03-17 Itai Ashlagi , Mark Braverman , Avinatan Hassidim

Two-sided matchings are an important theoretical tool used to model markets and social interactions. In many real life problems the utility of an agent is influenced not only by their own choices, but also by the choices that other agents…

Computer Science and Game Theory · Computer Science 2012-07-17 Simina Brânzei , Tomasz P. Michalak , Talal Rahwan , Kate Larson , Nicholas R. Jennings

We consider the two-sided stable matching setting in which there may be uncertainty about the agents' preferences due to limited information or communication. We consider three models of uncertainty: (1) lottery model --- in which for each…

Computer Science and Game Theory · Computer Science 2016-07-12 Haris Aziz , Péter Biró , Serge Gaspers , Ronald de Haan , Nicholas Mattei , Baharak Rastegari

Two-sided matching markets have long existed to pair agents in the absence of regulated exchanges. A common example is school choice, where a matching mechanism uses student and school preferences to assign students to schools. In such…

Machine Learning · Computer Science 2021-09-17 Stefania Ionescu , Yuhao Du , Kenneth Joseph , Anikó Hannák

In this work, we study the multi-agent assortment optimization problem in the two-sided sequential matching model introduced by Ashlagi et al. (2022). The setting is the following: we (the platform) offer a menu of suppliers to each…

Computer Science and Game Theory · Computer Science 2023-09-21 Alfredo Torrico , Margarida Carvalho , Andrea Lodi

In several two-sided markets, including labor and dating, agents typically have limited information about their preferences prior to mutual interactions. This issue can result in matching frictions, as arising in the labor market for…

Data Structures and Algorithms · Computer Science 2025-01-23 Itai Ashlagi , Jiale Chen , Mohammad Roghani , Amin Saberi

We study the problem of repeated two-sided matching with uncertain preferences (two-sided bandits), and no explicit communication between agents. Recent work has developed algorithms that converge to stable matchings when one side (the…

Multiagent Systems · Computer Science 2025-08-13 Gaurab Pokharel , Sanmay Das

We study a dynamic matching setting where homogeneous agents arrive at random according to a Poisson process and randomly form edges yielding a sparse market. Agents stay in the market according to a certain sojourn time and wait to be…

Data Structures and Algorithms · Computer Science 2025-11-27 Johannes Bäumler , Martin Bullinger , Stefan Kober , Donghao Zhu

When human agents come together to make decisions, it is often the case that one human agent has more information than the other. This phenomenon is called information asymmetry and this distorts the market. Often if one human agent intends…

Artificial Intelligence · Computer Science 2015-10-15 Tshilidzi Marwala , Evan Hurwitz

We study the two-sided stable matching problem with one-sided uncertainty for two sets of agents A and B, with equal cardinality. Initially, the preference lists of the agents in A are given but the preferences of the agents in B are…

Data Structures and Algorithms · Computer Science 2024-07-16 Evripidis Bampis , Konstantinos Dogeas , Thomas Erlebach , Nicole Megow , Jens Schlöter , Amitabh Trehan

In many two-sided markets, the parties to be matched have incomplete information about their characteristics. We consider the settings where the parties engaged are extremely patient and are interested in long-term partnerships. Hence, once…

Computer Science and Game Theory · Computer Science 2019-08-30 Kartik Ahuja , Mihaela van der Schaar

In the Gale-Shapley model of two-sided matching, it is well known that for generic preferences, the outcomes for each side can vary dramatically in the male-optimal vs. female-optimal stable matchings. In this paper, we show that under a…

Theoretical Economics · Economics 2026-03-26 Bill Wang

In many two-sided labor markets, interviews are conducted before matches are formed. The growing number of interviews in medical residency markets has increased demand for signaling mechanisms, where applicants send a limited number of…

Computer Science and Game Theory · Computer Science 2025-10-09 Maxwell Allman , Itai Ashlagi , Amin Saberi , Sophie H. Yu

I introduce a stability notion, dynamic stability, for two-sided dynamic matching markets where (i) matching opportunities arrive over time, (ii) matching is one-to-one, and (iii) matching is irreversible. The definition addresses two…

Theoretical Economics · Economics 2021-03-01 Laura Doval

Motivated by growing evidence of agents' mistakes in strategically simple environments, we propose a solution concept -- robust equilibrium -- that requires only an asymptotically optimal behavior. We use it to study large random matching…

Theoretical Economics · Economics 2023-09-26 Georgy Artemov , Yeon-Koo Che , YingHua He

Assignment markets involve matching with transfers, as in labor markets and housing markets. We consider a two-sided assignment market with agent types and stochastic structure similar to models used in empirical studies, and characterize…

Computer Science and Game Theory · Computer Science 2014-07-10 Yash Kanoria , Daniela Saban , Jay Sethuraman

We introduce a simple benchmark model of dynamic matching in networked markets, where agents arrive and depart stochastically and the network of acceptable transactions among agents forms a random graph. We analyze our model from three…

Computer Science and Game Theory · Computer Science 2014-02-18 Mohammad Akbarpour , Shengwu Li , Shayan Oveis Gharan

Although both data availability and the demand for accurate forecasts are increasing, collaboration between stakeholders is often constrained by data ownership and competitive interests. In contrast to recent proposals within cooperative…

Machine Learning · Computer Science 2026-05-14 Michael Vitali , Pierre Pinson

Two-sided matching platforms provide users with menus of match recommendations. To maximize the number of realized matches between the two sides (referred here as customers and suppliers), the platform must balance the inherent tension…

Computer Science and Game Theory · Computer Science 2020-07-29 Itai Ashlagi , Anilesh K. Krishnaswamy , Rahul Makhijani , Daniela Saban , Kirankumar Shiragur