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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

We conduct an incentivized lab experiment to test participants' ability to understand the DA matching mechanism and the strategyproofness property, conveyed in different ways. We find that while many participants can (using a novel GUI)…

General Economics · Economics 2024-09-30 Yannai A. Gonczarowski , Ori Heffetz , Guy Ishai , Clayton Thomas

Obvious strategyproofness (OSP) is an appealing concept as it allows to maintain incentive compatibility even in the presence of agents that are not fully rational, e.g., those who struggle with contingent reasoning [Li, 2015]. However, it…

Computer Science and Game Theory · Computer Science 2017-02-21 Diodato Ferraioli , Carmine Ventre

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

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

A classic trade-off that school districts face when deciding which matching algorithm to use is that it is not possible to always respect both priorities and preferences. The student-proposing deferred acceptance algorithm (DA) respects…

Theoretical Economics · Economics 2024-09-20 Estelle Cantillon , Li Chen , Juan S. Pereyra

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

A principal must allocate a set of heterogeneous tasks (or objects) among multiple agents. The principal has preferences over the allocation. Each agent has preferences over which tasks they are assigned, which are their private…

Theoretical Economics · Economics 2026-01-29 Quitzé Valenzuela-Stookey

In this paper, we study the fundamental problem of finding a stable matching in two-sided matching markets. In the classic variant, it is assumed that both sides of the market submit a ranked list of all agents on the other side. However,…

Computer Science and Game Theory · Computer Science 2026-02-03 Samuel McCauley , Benjamin Moseley , Helia Niaparast , Shikha Singh

We investigate the problem of designing randomized obviously strategy-proof (OSP) mechanisms in several canonical auction settings. Obvious strategy-proofness, introduced by Li [American Economic Review, 2017], strengthens the well-known…

Computer Science and Game Theory · Computer Science 2025-02-18 Shiri Ron , Daniel Schoepflin

A run of the deferred acceptance (DA) algorithm may contain proposals that are sure to be rejected. We introduce the accelerated deferred acceptance algorithm that proceeds in a similar manner to DA but with sure-to-be rejected proposals…

Theoretical Economics · Economics 2024-09-13 Gregory Z. Gutin , Daniel Karapetyan , Philip R. Neary , Alexander Vickery , Anders Yeo

A menu description exposes strategyproofness by presenting a mechanism to player $i$ in two steps. Step (1) uses others' reports to describe $i$'s menu of potential outcomes. Step (2) uses $i$'s report to select $i$'s favorite outcome from…

Theoretical Economics · Economics 2025-10-10 Yannai A. Gonczarowski , Ori Heffetz , Clayton Thomas

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

In two-sided matching markets, ensuring both stability and strategy-proofness poses a significant challenge; it is impossible when agents' preferences are unrestricted. But what if agents' preferences have specific restricted structures?…

Theoretical Economics · Economics 2025-07-03 Pinaki Mandal

Obviously strategyproof (OSP) mechanisms maintain the incentive compatibility of agents that are not fully rational. They have been object of a number of studies since their recent definition. A research agenda, initiated in…

Computer Science and Game Theory · Computer Science 2018-04-30 Diodato Ferraioli , Carmine Ventre

Catering to the incentives of people with limited rationality is a challenging research direction that requires novel paradigms to design mechanisms and approximation algorithms. Obviously strategyproof (OSP) mechanisms have recently…

Computer Science and Game Theory · Computer Science 2018-10-10 Diodato Ferraioli , Adrian Meier , Paolo Penna , Carmine Ventre

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

We consider priority-based matching problems with limited farsightedness. We show that, once agents are sufficiently farsighted, the matching obtained from the Top Trading Cycles (TTC) algorithm becomes stable: a singleton set consisting of…

Theoretical Economics · Economics 2022-12-16 Ata Atay , Ana Mauleon , Vincent Vannetelbosch

We initiate the study of distortion in stable matching. Concretely, we aim to design algorithms that have limited access to the agents' cardinal preferences and compute stable matchings of high quality with respect to some aggregate…

Computer Science and Game Theory · Computer Science 2026-02-17 Aris Filos-Ratsikas , Georgios Kalantzis

Addressing the large inefficiencies generated by the Deferred Acceptance (DA) mechanism requires priority violations, but which ones are justifiable? The leading approach is to ask individuals if they consent to waive their priority…

Theoretical Economics · Economics 2026-04-09 Josué Ortega , R. Pablo Arribillaga
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