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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

We study the problem of an organization that matches agents to objects where agents have preference rankings over objects and the organization uses algorithms to construct a ranking over objects on behalf of each agent. Our new framework…

Theoretical Economics · Economics 2025-08-12 Terence Highsmith

To find families for the more than 70,000 children in need of adoptive placements, most United States child welfare agencies have employed a family-driven search approach in which prospective families respond to announcements made by the…

Computer Science and Game Theory · Computer Science 2026-04-08 Ludwig Dierks , Nils Olberg , Sven Seuken , Vincent W. Slaugh , M. Utku Ünver

In matching markets such as kidney exchanges and freight exchanges, delayed matching has been shown to improve overall market efficiency. The benefits of delay are highly sensitive to participants' sojourn times and departure behavior, and…

Machine Learning · Computer Science 2026-02-27 Ruiqi Zhou , Donghao Zhu , Houcai Shen

We introduce a constrained priority mechanism that combines outcome-based matching from machine-learning with preference-based allocation schemes common in market design. Using real-world data, we illustrate how our mechanism could be…

General Economics · Economics 2020-08-13 Avidit Acharya , Kirk Bansak , Jens Hainmueller

We investigate the allocation of children to childcare facilities and propose solutions to overcome limitations in the current allocation mechanism. We introduce a natural preference domain and a priority structure that address these…

Theoretical Economics · Economics 2023-08-29 Ata Atay , Antonio Romero-Medina

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 dynamic matching in exchange markets with easy- and hard-to-match agents. A greedy policy, which attempts to match agents upon arrival, ignores the positive externality that waiting agents generate by facilitating future matchings.…

Theoretical Economics · Economics 2019-06-14 Itai Ashlagi , Afshin Nikzad , Philipp Strack

Recent literature shows that dynamic matching mechanisms may outperform the standard mechanisms to deliver desirable results. We highlight an under-explored design dimension, the time constraints that students face under such a dynamic…

Theoretical Economics · Economics 2022-07-26 Li Chen , Juan S. Pereyra , Min Zhu

The stable matching problem sets the economic foundation of several practical applications ranging from school choice and medical residency to ridesharing and refugee placement. It is concerned with finding a matching between two disjoint…

Computer Science and Game Theory · Computer Science 2022-02-01 Angelina Brilliantova , Hadi Hosseini

This paper explores a novel extension of dynamic matching theory by analyzing a three-way matching problem involving agents from three distinct populations, each with two possible types. Unlike traditional static or two-way dynamic models,…

Theoretical Economics · Economics 2025-07-09 Souvik Roy , Agamani Saha

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…

Data Structures and Algorithms · Computer Science 2025-07-03 Kirk Bansak , Soonbong Lee , Vahideh Manshadi , Rad Niazadeh , Elisabeth Paulson

The deferred acceptance algorithm is an elegant solution to the stable matching problem that guarantees optimality and truthfulness for one side of the market. Despite these desirable guarantees, it is susceptible to strategic misreporting…

Computer Science and Game Theory · Computer Science 2020-12-09 Hadi Hosseini , Fatima Umar , Rohit Vaish

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

Many two-sided matching markets, from labor markets to school choice programs, use a clearinghouse based on the applicant-proposing deferred acceptance algorithm, which is well known to be strategy-proof for the applicants. Nonetheless, a…

Computer Science and Game Theory · Computer Science 2018-07-19 Itai Ashlagi , Yannai A. Gonczarowski

We explore the possibility of designing matching mechanisms that can accommodate non-standard choice behavior. We pin down the necessary and sufficient conditions on participants' choice behavior for the existence of stable and incentive…

Theoretical Economics · Economics 2024-08-12 Gian Caspari , Manshu Khanna

In a dynamic matching market, such as a marriage or job market, how should agents balance accepting a proposed match with the cost of continuing their search? We consider this problem in a discrete setting, in which agents have cardinal…

Computer Science and Game Theory · Computer Science 2021-06-16 Ishan Agarwal , Richard Cole , Yixin Tao

We study dynamic matching in an infinite-horizon stochastic market. While all agents are potentially compatible with each other, some are hard-to-match and others are easy-to-match. Agents prefer to be matched as soon as possible and…

Data Structures and Algorithms · Computer Science 2017-11-09 Itai Ashlagi , Maximillien Burq , Patrick Jaillet , Vahideh Manshadi

We study a school choice problem under affirmative action policies where authorities reserve a certain fraction of the slots at each school for specific student groups, and where students have preferences not only over the schools they are…

Theoretical Economics · Economics 2020-05-05 Orhan Aygün , Bertan Turhan

Matching markets are often organized in a multi-stage and decentralized manner. Moreover, participants in real-world matching markets often have uncertain preferences. This article develops a framework for learning optimal strategies in…

Computer Science and Game Theory · Computer Science 2021-12-21 Xiaowu Dai , Michael I. Jordan
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