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The Deferred Acceptance (DA) algorithm is an elegant procedure for finding a stable matching in two-sided matching markets. It ensures that no pair of agents prefers each other to their matched partners. In this work, we initiate the study…

计算机科学与博弈论 · 计算机科学 2025-06-03 Hadi Hosseini , Grzegorz Lisowski , Shraddha Pathak

Strategic behavior in two-sided matching markets has been traditionally studied in a "one-sided" manipulation setting where the agent who misreports is also the intended beneficiary. Our work investigates "two-sided" manipulation of the…

计算机科学与博弈论 · 计算机科学 2022-01-24 Hadi Hosseini , Fatima Umar , Rohit Vaish

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…

计算机科学与博弈论 · 计算机科学 2024-03-11 Juho Hirvonen , Sara Ranjbaran

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…

计算机科学与博弈论 · 计算机科学 2022-02-01 Angelina Brilliantova , Hadi Hosseini

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…

理论经济学 · 经济学 2024-11-27 Daniela Bubboloni , Michele Gori , Claudia Meo

The Deferred Acceptance Algorithm (DAA) is the most widely accepted and used algorithm to match students, workers, or residents to colleges, firms or hospitals respectively. In this paper, we consider for the first time, the complexity of…

计算机科学与博弈论 · 计算机科学 2015-02-24 Haris Aziz , Hans Georg Seedig , Jana Karina von Wedel

Stable matching in a community consisting of men and women is a classical combinatorial problem that has been the subject of intense theoretical and empirical study since its introduction in 1962 in a seminal paper by Gale and Shapley, who…

数据结构与算法 · 计算机科学 2021-12-14 Hugo Gimbert , Claire Mathieu , Simon Mauras

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: $\bullet$…

计算机科学与博弈论 · 计算机科学 2023-05-02 Ishan Agarwal , Richard Cole

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…

多智能体系统 · 计算机科学 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…

理论经济学 · 经济学 2023-09-26 Georgy Artemov , Yeon-Koo Che , YingHua He

Matching algorithms have demonstrated great success in several practical applications, but they often require centralized coordination and plentiful information. In many modern online marketplaces, agents must independently seek out and…

计算机科学与博弈论 · 计算机科学 2025-01-14 Vade Shah , Bryce L. Ferguson , Jason R. Marden

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…

计算机科学与博弈论 · 计算机科学 2018-07-19 Itai Ashlagi , Yannai A. Gonczarowski

Bidding and acceptance strategies have a substantial impact on the outcome of negotiations in scenarios with linear additive and nonlinear utility functions. Over the years, it has become clear that there is no single best strategy for all…

多智能体系统 · 计算机科学 2020-09-15 Bram M. Renting , Holger H. Hoos , Catholijn M. Jonker

The stable marriage problem and its extensions have been extensively studied, with much of the work in the literature assuming that agents fully know their own preferences over alternatives. This assumption however is not always practical…

计算机科学与博弈论 · 计算机科学 2016-03-21 Baharak Rastegari , Paul Goldberg , David Manlove

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…

计算机科学与博弈论 · 计算机科学 2025-11-10 Jonathan Shaki , Jiarui Gan , Sarit Kraus

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…

机器学习 · 计算机科学 2019-05-13 Lily Hu , Nicole Immorlica , Jennifer Wortman Vaughan

The stable marriage and stable roommates problems have been extensively studied due to their high applicability in various real-world scenarios. However, it might happen that no stable solution exists, or stable solutions do not meet…

计算机科学与博弈论 · 计算机科学 2022-04-29 Kristóf Bérczi , Gergely Csáji , Tamás Király

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)…

综合经济学 · 经济学 2024-09-30 Yannai A. Gonczarowski , Ori Heffetz , Guy Ishai , Clayton Thomas

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…

数据结构与算法 · 计算机科学 2025-01-23 Itai Ashlagi , Jiale Chen , Mohammad Roghani , Amin Saberi

The study of stable matchings usually relies on the assumption that agents' preferences over the opposite side are complete and known. In many real markets, however, preferences might be uncertain and revealed only through costly…

计算机科学与博弈论 · 计算机科学 2026-02-25 Moshe Babaioff , Rotem Gil , Assaf Romm
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