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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

This study considers a model where schools may have multiple priority orders on students, which may be inconsistent with each other. For example, in school choice systems, since the sibling priority and the walk zone priority coexist, the…

Theoretical Economics · Economics 2024-10-18 Minoru Kitahara , Yasunori Okumura

We consider a school choice matching model where the priorities for schools are represented by binary relations that may not be weak order. We focus on the (total order) extensions of the binary relations. We introduce a class of algorithms…

Theoretical Economics · Economics 2023-10-13 Minoru Kitahara , Yasunori Okumura

The academic job market for new statisticians is highly congested at the interview stage, where departments must rank and select candidates from large applicant pools without credible signals of candidate interest. As a result, interviews…

Applications · Statistics 2026-04-17 Ali Kaazempur-Mofrad , Xiaowu Dai , Xuming He

We study the stable marriage problem in two-sided markets with randomly generated preferences. We consider agents on each side divided into a constant number of "soft tiers", which intuitively indicate the quality of the agent.…

Computer Science and Game Theory · Computer Science 2021-01-14 Itai Ashlagi , Mark Braverman , Amin Saberi , Clayton Thomas , Geng Zhao

We study the implementability of stable matchings in a two-sided market model with one-sided incomplete information. Firms' types are publicly known, whereas workers' types are private information. A mechanism generates a matching and…

Theoretical Economics · Economics 2025-12-23 Dinko Dimitrov , Dipjyoti Majumdar

We study the problem of decision-making in the setting of a scarcity of shared resources when the preferences of agents are unknown a priori and must be learned from data. Taking the two-sided matching market as a running example, we focus…

Computer Science and Game Theory · Computer Science 2021-11-24 Xiaowu Dai , Michael I. Jordan

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

In real-world settings of the Deferred Acceptance stable matching algorithm, such as the American medical residency match (NRMP), school choice programs, and various national university entrance systems, candidates need to decide which…

Computer Science and Game Theory · Computer Science 2025-06-25 Richard Cole , Pranav Jangir

We consider mechanisms for markets that are double-sided and have players with multi-dimensional strategic spaces on at least one side. The players of the market are strategic, and act to optimize their own utilities. The mechanism…

Computer Science and Game Theory · Computer Science 2016-11-15 Moran Feldman , Rica Gonen

Lotteries are commonly employed in school choice to fairly resolve priority ties; however, current practices typically keep students uninformed about their lottery outcomes at the time of preference submission. This paper advocates for…

Theoretical Economics · Economics 2025-12-04 Lingbo Huang , Jun Zhang

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 consider a social choice setting with agents that are partitioned into disjoint groups, and have metric preferences over a set of alternatives. Our goal is to choose a single alternative aiming to optimize various objectives that are…

Computer Science and Game Theory · Computer Science 2021-07-13 Elliot Anshelevich , Aris Filos-Ratsikas , Alexandros A. Voudouris

The development and deployment of matching procedures that incentivize truthful preference reporting is considered one of the major successes of market design research. In this study, we test the degree to which these procedures succeed in…

Econometrics · Economics 2022-10-12 Alex Rees-Jones , Samuel Skowronek

This paper introduces a novel measurement of informational size to school choice problems, which inherits its ideas from Mount and Reiter (1974). This concept measures a matching mechanism's information size by counting the maximal relevant…

Theoretical Economics · Economics 2024-07-17 Di Feng , Yun Liu

We consider the allocation of indivisible objects when agents have preferences over their own allocations, but share the ownership of the resources to be distributed. Examples might include seats in public schools, faculty offices, and time…

Theoretical Economics · Economics 2021-09-07 Mustafa Oğuz Afacan , Inácio Bó

When consequential decisions are informed by algorithmic input, individuals may feel compelled to alter their behavior in order to gain a system's approval. Models of agent responsiveness, termed "strategic manipulation," analyze the…

Machine Learning · Computer Science 2019-05-13 Lily Hu , Nicole Immorlica , Jennifer Wortman Vaughan

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 introduce a new algorithm for finding stable matchings in multi-sided matching markets. Our setting is motivated by a PhD market of students, advisors, and co-advisors, and can be generalized to supply chain networks viewed as $n$-sided…

Computer Science and Game Theory · Computer Science 2021-07-07 Maximilian Mordig , Riccardo Della Vecchia , Nicolò Cesa-Bianchi , Bernhard Schölkopf

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