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This paper seeks to establish a framework for directing a society of simple, specialized, self-interested agents to solve what traditionally are posed as monolithic single-agent sequential decision problems. What makes it challenging to use…

Machine Learning · Computer Science 2020-08-17 Michael Chang , Sidhant Kaushik , S. Matthew Weinberg , Thomas L. Griffiths , Sergey Levine

We consider the problem of learning stable matchings with unknown preferences in a decentralized and uncoordinated manner, where "decentralized" means that players make decisions individually without the influence of a central platform, and…

Computer Science and Game Theory · Computer Science 2024-08-16 S. Rasoul Etesami , R. Srikant

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

Stable matching is a fundamental problem studied both in economics and computer science. The task is to find a matching between two sides of agents that have preferences over who they want to be matched with. A matching is stable if no pair…

Computer Science and Game Theory · Computer Science 2024-03-11 Juho Hirvonen , Sara Ranjbaran

We study the problem of pure exploration in matching markets under uncertain preferences, where the goal is to identify a stable matching with confidence parameter $\delta$ and minimal sample complexity. Agents learn preferences via…

Computer Science and Game Theory · Computer Science 2025-09-19 Tejas Pagare , Agniv Bandyopadhyay , Sandeep Juneja

We study the problem of online learning in two-sided non-stationary matching markets, where the objective is to converge to a stable match. In particular, we consider the setting where one side of the market, the arms, has fixed known set…

Machine Learning · Computer Science 2023-01-16 Deepan Muthirayan , Chinmay Maheshwari , Pramod P. Khargonekar , Shankar Sastry

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

In bipartite matching problems, agents on two sides of a graph want to be paired according to their preferences. The stability of a matching depends on these preferences, which in uncertain environments also reflect agents' beliefs about…

Computer Science and Game Theory · Computer Science 2025-11-10 Jonathan Shaki , Jiarui Gan , Sarit Kraus

Stochastic dynamic teams and games are rich models for decentralized systems and challenging testing grounds for multi-agent learning. Previous work that guaranteed team optimality assumed stateless dynamics, or an explicit coordination…

Optimization and Control · Mathematics 2024-03-28 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

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

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

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…

Multiagent Systems · Computer Science 2022-11-30 Lars Lien Ankile , Kjartan Krange , Yuto Yagi

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

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…

Theoretical Economics · Economics 2025-09-16 Chao Huang

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…

Computer Science and Game Theory · Computer Science 2016-06-29 Varun Kanade , Nikos Leonardos , Frédéric Magniez

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

We study the competition for partners in two-sided matching markets with heterogeneous agent preferences, with a focus on how the equilibrium outcomes depend on the connectivity in the market. We model random partially connected markets,…

Computer Science and Game Theory · Computer Science 2023-01-12 Yash Kanoria , Seungki Min , Pengyu Qian

We consider a two-sided matching problem in which the agents on one side have dichotomous preferences and the other side representing institutions has strict preferences (priorities). It captures several important applications in matching…

Computer Science and Game Theory · Computer Science 2025-02-17 Haris Aziz , Md. Shahidul Islam , Szilvia Pápai

When several two-sided matching markets merge into one, it is inevitable that some agents will become worse off if the matching mechanism used is stable. I formalize this observation by defining the property of integration monotonicity,…

Economics · Quantitative Finance 2018-09-17 Josue Ortega

We consider a multi-agent reinforcement learning problem where each agent seeks to maximize a shared reward while interacting with other agents, and they may or may not be able to communicate. Typically the agents do not have access to…

Multiagent Systems · Computer Science 2021-04-26 Alex Tong Lin , Mark J. Debord , Katia Estabridis , Gary Hewer , Guido Montufar , Stanley Osher