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In this paper, we analyze the problem of how to adapt the concept of proportionality to situations where several perfectly divisible resources have to be allocated among certain set of agents that have exactly one claim which is used for…

最优化与控制 · 数学 2022-02-22 Rick K. Acosta-Vega , Encarnación Algaba , Joaquín Sánchez-Soriano

We consider the fair division problem of indivisible items. It is well-known that an envy-free allocation may not exist, and a relaxed version of envy-freeness, envy-freeness up to one item (EF1), has been widely considered. In an EF1…

计算机科学与博弈论 · 计算机科学 2022-11-30 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

In the standard model of fair allocation of resources to agents, every agent has some utility for every resource, and the goal is to assign resources to agents so that the agents' welfare is maximized. Motivated by job scheduling, interest…

计算机科学与博弈论 · 计算机科学 2024-03-08 Susobhan Bandopadhyay , Aritra Banik , Sushmita Gupta , Pallavi Jain , Abhishek Sahu , Saket Saurabh , Prafullkumar Tale

As machine learning algorithms are more widely deployed in healthcare, the question of algorithmic fairness becomes more critical to examine. Our work seeks to identify and understand disparities in a deployed model that classifies…

计算机与社会 · 计算机科学 2020-12-15 Elisa Ferracane , Sandeep Konam

Sequential allocation is a simple and widely studied mechanism to allocate indivisible items in turns to agents according to a pre-specified picking sequence of agents. At each turn, the current agent in the picking sequence picks its most…

数据结构与算法 · 计算机科学 2019-09-17 Mingyu Xiao , Jiaxing Ling

The ongoing pandemic has highlighted the importance of reliable and efficient clinical trials in healthcare. Trial sites, where the trials are conducted, are chosen mainly based on feasibility in terms of medical expertise and access to a…

机器学习 · 计算机科学 2022-04-14 Rakshith S Srinivasa , Cheng Qian , Brandon Theodorou , Jeffrey Spaeder , Cao Xiao , Lucas Glass , Jimeng Sun

Predictive algorithms are now used to help distribute a large share of our society's resources and sanctions, such as healthcare, loans, criminal detentions, and tax audits. Under the right circumstances, these algorithms can improve the…

机器学习 · 计算机科学 2023-02-21 Alex Chohlas-Wood , Madison Coots , Sharad Goel , Julian Nyarko

Fair division is the problem of dividing one or several goods amongst two or more agents in a way that satisfies a suitable fairness criterion. These Notes provide a succinct introduction to the field. We cover three main topics. First, we…

人工智能 · 计算机科学 2018-06-13 Ulle Endriss

In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is as follows: at each stage, a designated agent picks one object among those that remain.…

人工智能 · 计算机科学 2018-08-01 Aurélie Beynier , Sylvain Bouveret , Michel Lemaître , Nicolas Maudet , Simon Rey

Patients who are seriously ill may ask doctors to treat them with unapproved medication, about which not much is known, or else with known medication in a high dosage. Apart from strict legal constraints such cases may involve difficult…

其他统计学 · 统计学 2018-04-13 F. Thomas Bruss

The theory of algorithmic fair allocation is within the center of multi-agent systems and economics in the last decade due to its industrial and social importance. At a high level, the problem is to assign a set of items that are either…

计算机科学与博弈论 · 计算机科学 2022-02-18 Haris Aziz , Bo Li , Herve Moulin , Xiaowei Wu

We study the problem of fairly allocating indivisible goods and chores under category constraints. Specifically, there are $n$ agents and $m$ indivisible items which are partitioned into categories with associated capacities. An allocation…

计算机科学与博弈论 · 计算机科学 2026-04-21 Ayumi Igarashi , Frédéric Meunier

We study the fair allocation of indivisible items under relevance constraints, where each agent has a set of relevant items and can only receive items that are relevant to them. While the relevance constraint has been studied in recent…

计算机科学与博弈论 · 计算机科学 2026-03-19 Ankang Sun , Ruijie Wang , Bo Li

We study the problem of allocating indivisible goods among agents with additive valuation functions to achieve both fairness and efficiency under the constraint that each agent receives exactly the same number of goods (the \emph{balanced…

计算机科学与博弈论 · 计算机科学 2026-03-09 Yasushi Kawase , Ryoga Mahara

The global home healthcare market is growing rapidly due to aging populations, advancements in healthcare technology, and patient preference for home-based care. In this paper, we study the multi-day planning problem of simultaneously…

最优化与控制 · 数学 2024-07-10 Carolin Bauerhenne , Jonathan Bard , Rainer Kolisch

The rise of algorithmic decision-making has created an explosion of research around the fairness of those algorithms. While there are many compelling notions of individual fairness, beginning with the work of Dwork et al., these notions…

数据结构与算法 · 计算机科学 2022-10-07 Konstantina Bairaktari , Huy Le Nguyen , Jonathan Ullman

We analyze the run-time complexity of computing allocations that are both fair and maximize the utilitarian social welfare, defined as the sum of agents' utilities. We focus on two tractable fairness concepts: envy-freeness up to one item…

计算机科学与博弈论 · 计算机科学 2024-09-23 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

Given an initial resource allocation, where some agents may envy others or where a different distribution of resources might lead to higher social welfare, our goal is to improve the allocation without reassigning resources. We consider a…

计算机科学与博弈论 · 计算机科学 2021-12-15 Robert Bredereck , Andrzej Kaczmarczyk , Junjie Luo , Rolf Niedermeier , Florian Sachse

A collection of objects, some of which are good and some are bad, is to be divided fairly among agents with different tastes, modeled by additive utility functions. If the objects cannot be shared, so that each of them must be entirely…

计算机科学与博弈论 · 计算机科学 2022-11-10 Fedor Sandomirskiy , Erel Segal-Halevi

Rankings are ubiquitous in the online world today. As we have transitioned from finding books in libraries to ranking products, jobs, job applicants, opinions and potential romantic partners, there is a substantial precedent that ranking…

信息检索 · 计算机科学 2018-10-18 Ashudeep Singh , Thorsten Joachims