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A major open question in fair allocation of indivisible items is whether there always exists an allocation of chores that is Pareto optimal (PO) and envy-free up to one item (EF1). We answer this question affirmatively for the natural class…

Computer Science and Game Theory · Computer Science 2022-02-04 Soroush Ebadian , Dominik Peters , Nisarg Shah

We study the question of dividing a collection of indivisible goods amongst a set of agents. The main objective of research in the area is to achieve one of two goals: fairness or efficiency. On the fairness side, envy-freeness is the…

Computer Science and Game Theory · Computer Science 2021-06-03 Vishnu V. Narayan , Mashbat Suzuki , Adrian Vetta

A decision can be defined as fair if equal individuals are treated equally and unequals unequally. Adopting this definition, the task of designing machine learning (ML) models that mitigate unfairness in automated decision-making systems…

Machine Learning · Computer Science 2024-06-25 Ludwig Bothmann , Susanne Dandl , Michael Schomaker

Ann likes oranges much more than apples; Bob likes apples much more than oranges. Tomorrow they will receive one fruit that will be an orange or an apple with equal probability. Giving one half to each agent is fair for each realization of…

Computer Science and Game Theory · Computer Science 2021-01-12 Anna Bogomolnaia , Herve Moulin , Fedor Sandomirskiy

We consider a fair division setting where indivisible items are allocated to agents. Each agent in the setting has strictly negative, zero or strictly positive utility for each item. We, thus, make a distinction between items that are good…

Computer Science and Game Theory · Computer Science 2020-05-14 Martin Aleksandrov

Due to the beyond-classical capability of quantum computing, quantum machine learning is applied independently or embedded in classical models for decision making, especially in the field of finance. Fairness and other ethical issues are…

Quantum Physics · Physics 2022-07-25 Ji Guan , Wang Fang , Mingsheng Ying

We consider the problem of fairly allocating a set of indivisible goods among agents with additive valuations. Ex-ante fairness (proportionality) can trivially be obtained by giving all goods to a random agent. Yet, such an allocation is…

Computer Science and Game Theory · Computer Science 2026-01-26 Moshe Babaioff , Yuval Grofman

The division of goods in the online realm poses opportunities and challenges. While innovative mechanisms can be developed, uncertainty about the future may hinder effective solutions. This project aims to explore fair distribution models…

Computer Science and Game Theory · Computer Science 2023-04-19 Kushagra Chatterjee , Biswadeep Sen , Yuhao Wang

In this note we study how to share a good between n players in a simple and equitable way. We give a short proof for the existence of such fair divisions.

Computer Science and Game Theory · Computer Science 2017-03-30 Guillaume Chèze

In the allocation of resources to a set of agents, how do fairness guarantees impact the social welfare? A quantitative measure of this impact is the price of fairness, which measures the worst-case loss of social welfare due to fairness…

Computer Science and Game Theory · Computer Science 2020-11-03 Siddharth Barman , Umang Bhaskar , Nisarg Shah

Given the widespread popularity of spectral clustering (SC) for partitioning graph data, we study a version of constrained SC in which we try to incorporate the fairness notion proposed by Chierichetti et al. (2017). According to this…

Machine Learning · Statistics 2019-05-14 Matthäus Kleindessner , Samira Samadi , Pranjal Awasthi , Jamie Morgenstern

We study the fair division of indivisible items among $n$ agents with heterogeneous additive valuations, subject to lower and upper quotas on the number of items allocated to each agent. Such constraints are crucial in various applications,…

Computer Science and Game Theory · Computer Science 2026-02-10 Hirota Kinoshita , Ayumi Igarashi

Fairness is an important objective throughout society. From the distribution of limited goods such as education, over hiring and payment, to taxes, legislation, and jurisprudence. Due to the increasing importance of machine learning…

Machine Learning · Computer Science 2024-10-17 Felix Störck , Fabian Hinder , Johannes Brinkrolf , Benjamin Paassen , Valerie Vaquet , Barbara Hammer

We revisit the foundations of fairness and its interplay with utility and efficiency in settings where the training data contain richer labels, such as individual types, rankings, or risk estimates, rather than just binary outcomes. In this…

Machine Learning · Computer Science 2025-05-23 Noga Amit , Omer Reingold , Guy N. Rothblum

Equitability (EQ) in fair division requires that items be allocated such that all agents value the bundle they receive equally. With indivisible items, an equitable allocation may not exist, and hence we instead consider a meaningful…

Computer Science and Game Theory · Computer Science 2023-12-13 Siddharth Barman , Umang Bhaskar , Yeshwant Pandit , Soumyajit Pyne

Envy-freeness up to one good (EF1) is a well-studied fairness notion for indivisible goods that addresses pairwise envy by the removal of at most one good. In the worst case, each pair of agents might require the (hypothetical) removal of a…

Computer Science and Game Theory · Computer Science 2020-03-11 Hadi Hosseini , Sujoy Sikdar , Rohit Vaish , Jun Wang , Lirong Xia

Information exchange is a crucial component of many real-world multi-agent systems. However, the communication between the agents involves two major challenges: the limited bandwidth, and the shared communication medium between the agents,…

Multiagent Systems · Computer Science 2021-02-18 Majid Raeis , S. Jamaloddin Golestani

In the field of algorithmic fairness, many fairness criteria have been proposed. Oftentimes, their proposal is only accompanied by a loose link to ideas from moral philosophy -- which makes it difficult to understand when the proposed…

Computers and Society · Computer Science 2024-07-18 Corinna Hertweck , Christoph Heitz , Michele Loi

In the work the fair division problem for two participants in presence of both divisible and indivisible items is considered. The set of all divisions is formally described; it is demonstrated that fair (in terms of Brams and Taylor)…

Economics · Quantitative Finance 2016-07-11 Alexander Rubchinsky

We study the problem of computing \emph{fair} divisions of a set of indivisible goods among agents with \emph{additive} valuations. For the past many decades, the literature has explored various notions of fairness, that can be primarily…

Computer Science and Game Theory · Computer Science 2025-01-22 Hannaneh Akrami , Nidhi Rathi
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