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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

We study a dynamic matching problem on a two-sided platform with unbalanced patience, in which long-lived supply accumulates over time with a unit waiting cost per period, while short-lived demand departs if not matched promptly. High- or…

Theoretical Economics · Economics 2026-02-05 Zhiyuan Chen , Rui , Chen , Ming Hu , Yun Zhou

We focus on the one-to-one two-sided matching model with two disjoint sets of agents of equal size, where each agent in a set has preferences on the agents in the other set modeled by a linear order. A matching mechanism associates a set of…

Theoretical Economics · Economics 2024-11-27 Daniela Bubboloni , Michele Gori , Claudia Meo

Many matching markets feature unknown, dynamic arrivals of agents that must match immediately. A caseworker must match an abused child to a foster home, a hospital must assign a patient in critical condition to a room, or a city must place…

Theoretical Economics · Economics 2026-04-15 Terence Highsmith

In this paper, we study a matching market model on a bipartite network where agents on each side arrive and depart stochastically by a Poisson process. For such a dynamic model, we design a mechanism that decides not only which agents to…

Data Structures and Algorithms · Computer Science 2021-10-22 Naonori Kakimura , Donghao Zhu

We study a practical two-sided matching problem of allocating children to daycare centers, which has significant social implications. We are cooperating with several municipalities in Japan and our goal is to devise a reliable and…

Computer Science and Game Theory · Computer Science 2024-01-17 Zhaohong Sun , Naoyuki Yamada , Yoshihiro Takenami , Daisuke Moriwaki , Makoto Yokoo

Motivated by a variety of online matching platforms, we consider demand and supply units which are located i.i.d. in [0,1]^d, and each demand unit needs to be matched with a supply unit. The goal is to minimize the expected average distance…

Probability · Mathematics 2023-10-10 Yash Kanoria

To guarantee all agents are matched in general, the classic Deferred Acceptance algorithm needs complete preference lists. In practice, preference lists are short, yet stable matching still works well. This raises two questions: $\bullet$…

Computer Science and Game Theory · Computer Science 2023-05-02 Ishan Agarwal , Richard Cole

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

Two-sided online matching platforms are employed in various markets. However, agents' preferences in the current market are usually implicit and unknown, thus needing to be learned from data. With the growing availability of dynamic side…

Machine Learning · Computer Science 2024-05-30 Yuantong Li , Chi-hua Wang , Guang Cheng , Will Wei Sun

In recent years, significant advances have been made in the design and analysis of fully dynamic maximal matching algorithms. However, these theoretical results have received very little attention from the practical perspective. Few of the…

Data Structures and Algorithms · Computer Science 2020-04-21 Monika Henzinger , Shahbaz Khan , Richard Paul , Christian Schulz

Recommender systems play an increasingly crucial role in shaping people's opportunities, particularly in online dating platforms. It is essential from the user's perspective to increase the probability of matching with a suitable partner…

Information Retrieval · Computer Science 2024-09-04 Yoji Tomita , Tomohiki Yokoyama

We consider design of monetary mechanisms for two-sided matching. Mechanisms in the tradition of the deferred acceptance algorithm, even in variants incorporating money, tend to focus on the criterion of stability. Instead, in this work we…

Computer Science and Game Theory · Computer Science 2025-06-30 Robin Bowers , Bo Waggoner

We propose a model of two-way selection system. It appears in the processes like choosing a mate between men and women, making contracts between job hunters and recruiters, and trading between buyers and sellers. In this paper, we propose a…

General Physics · Physics 2015-02-20 Bin Zhou , Shujia Qin , Xiao-Pu Han , Zhe He , Jia-Rong Xie , Bing-Hong Wang

We study the performance of general dynamic matching models. This model is defined by a connected graph, where nodes represent the class of items and the edges the compatibilities between items. Items of different classes arrive one by one…

Computer Science and Game Theory · Computer Science 2020-09-22 Arnaud Cadas , Josu Doncel , Jean-Michel Fourneau , Ana Bušić

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

Stable matching is a fundamental area with many practical applications, such as centralised clearinghouses for school choice or job markets. Recent work has introduced the paradigm of near-feasibility in capacitated matching settings, where…

Computer Science and Game Theory · Computer Science 2026-02-12 Frederik Glitzner

The Swiss State Secretariat for Migration recently announced a pilot project for a machine learning-based assignment process for refugee resettlement. This approach has the potential to substantially increase the overall employment rate of…

Computer Science and Game Theory · Computer Science 2022-03-31 Nils Olberg , Sven Seuken

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

Each year, thousands of patients in need of heart transplants face life-threatening wait times due to organ scarcity. While allocation policies aim to maximize population-level outcomes, current approaches often fail to account for the…

Machine Learning · Computer Science 2026-02-10 Itai Zilberstein , Ioannis Anagnostides , Zachary W. Sollie , Arman Kilic , Tuomas Sandholm