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In the well-studied Stable Roommates problem, we seek a stable matching of agents into pairs, where no two agents prefer each other over their assigned partners. However, some instances of this problem are unsolvable, lacking any stable…

计算机科学与博弈论 · 计算机科学 2025-07-08 Frederik Glitzner , David Manlove

The hiring problem is studied for general strategies based only on the relative ranking of the candidates; this includes some well known strategies studied before such as hiring above the median. We give general limit theorems for the…

概率论 · 数学 2018-09-12 Svante Janson

Consensus halving refers to the problem of dividing a resource into two parts so that every agent values both parts equally. Prior work has shown that when the resource is represented by an interval, a consensus halving with at most $n$…

计算机科学与博弈论 · 计算机科学 2022-11-22 Paul W. Goldberg , Alexandros Hollender , Ayumi Igarashi , Pasin Manurangsi , Warut Suksompong

When computing stable matchings, it is usually assumed that the preferences of the agents in the matching market are fixed. However, in many realistic scenarios, preferences change over time. Consequently, an initially stable matching may…

计算机科学与博弈论 · 计算机科学 2022-11-09 Niclas Boehmer , Klaus Heeger , Rolf Niedermeier

Urban assessments often compress diverse needs into single scores, which can obscure minority perspectives. We present a community-centered study in Montreal (n=35; wheelchair users, seniors, LGBTQIA2+ residents, and immigrants).…

人机交互 · 计算机科学 2025-09-22 Rashid Mushkani , Hugo Berard , Shin Koseki

The classical 'buy or rent' ski-rental problem was recently considered in the setting where multiple experts (such as Machine Learning algorithms) advice on the length of the ski season. Here, robust algorithms were developed with improved…

机器学习 · 计算机科学 2021-04-22 Anant Shah , Arun Rajkumar

I study the problem of allocating objects among agents without using money. Agents can receive several objects and have dichotomous preferences, meaning that they either consider objects to be acceptable or not. In this setup, the…

经济学 · 定量金融 2018-07-09 Josue Ortega

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 study the house allocation problem in a setting where agents are connected by a graph representing friendships. In this model, two agents can only envy each other if they are neighbors (i.e., friends) in the graph. Each agent has a set…

数据结构与算法 · 计算机科学 2026-02-10 Anubhav Dhar , Ashlesha Hota , Palash Dey , Sudeshna Kolay

We prove that the classic problem of finding a competitive equilibrium in an exchange economy with indivisible goods, money, and unit-demand agents is PPAD-complete. In this "housing market", agents have preferences over the house and…

计算机科学与博弈论 · 计算机科学 2024-02-22 Edwin Lock , Zephyr Qiu , Alexander Teytelboym

Random partition models are widely used in Bayesian methods for various clustering tasks, such as mixture models, topic models, and community detection problems. While the number of clusters induced by random partition models has been…

机器学习 · 统计学 2022-06-22 Changwoo J. Lee , Huiyan Sang

Classifiers that achieve demographic balance by explicitly using protected attributes such as race or gender are often politically or culturally controversial due to their lack of individual fairness, i.e. individuals with similar…

机器学习 · 统计学 2019-09-15 Guy W. Cole , Sinead A. Williamson

We study two-sided many-to-one matching markets with transferable utilities, e.g., labor and rental housing markets, in which money can exchange hands between agents, subject to distributional constraints on the set of feasible allocations.…

理论经济学 · 经济学 2022-04-26 Devansh Jalota , Michael Ostrovsky , Marco Pavone

The stable marriage problem has been introduced in order to describe a complex system where individuals attempt to optimise their own satisfaction, subject to mutually conflicting constraints. Due to the potential large applicability of…

统计力学 · 物理学 2009-10-31 G. Caldarelli , A. Capocci

We consider the house allocation problem, where $m$ houses are to be assigned to $n$ agents so that each agent gets exactly one house. We present a polynomial-time algorithm that determines whether an envy-free assignment exists, and if so,…

计算机科学与博弈论 · 计算机科学 2019-08-16 Jiarui Gan , Warut Suksompong , Alexandros A. Voudouris

Rental scams are a type of advance fee fraud, in which the scammer tries to get a victim to pay a deposit to rent an apartment of which the scammer pretends to be the landlord. We specifically focused on fraudulent long-term rentals…

计算机与社会 · 计算机科学 2019-11-20 Sophie Van Der Zee , Richard Clayton , Ross Anderson

In the house allocation problem with lower and upper quotas, we are given a set of applicants and a set of projects. Each applicant has a strictly ordered preference list over the projects, while the projects are equipped with a lower and…

计算机科学与博弈论 · 计算机科学 2021-07-09 Ágnes Cseh , Tobias Friedrich , Jannik Peters

Current alignment pipelines presume a single, universal notion of desirable behavior. However, human preferences often diverge across users, contexts, and cultures. As a result, disagreement collapses into the majority signal and minority…

机器学习 · 计算机科学 2025-06-10 Daniel Halpern , Evi Micha , Ariel D. Procaccia , Itai Shapira

Ranking alternatives is a natural way for humans to explain their preferences. It is being used in many settings, such as school choice, course allocations and residency matches. In some cases, several `items' are given to each participant.…

计算机科学与博弈论 · 计算机科学 2022-12-06 Erel Segal-Halevi , Haris Aziz , Avinatan Hassidim

The stable roommates problem is a non-bipartite version of the stable matching problem in a bipartite graph. In this paper, we consider the stable roommates problem with ties. In particular, we focus on strong stability, which is one of the…

计算机科学与博弈论 · 计算机科学 2025-10-21 Naoyuki Kamiyama