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A greedy personality is usually accompanied by arrogance and confidence. This work investigates the cooperation success condition in the context of biased payoff allocation and self-confidence. The first component allows the organizer in a…

Physics and Society · Physics 2023-07-28 Chaoqian Wang , Wenqiang Zhu , Attila Szolnoki

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

We propose a framework to assess how to optimally sort and grade students of heterogenous ability. Potential employers face uncertainty regarding an individual's productive value. Knowing which school an individual went to is useful for two…

Theoretical Economics · Economics 2024-02-06 Jacopo Bizzotto , Adrien Vigier

Numerous algorithms have been produced for the fundamental problem of clustering under many different notions of fairness. Perhaps the most common family of notions currently studied is group fairness, in which proportional group…

Machine Learning · Computer Science 2023-06-06 Seyed A. Esmaeili , Sharmila Duppala , John P. Dickerson , Brian Brubach

We generalize the classic problem of fairly allocating indivisible goods to the problem of \emph{fair public decision making}, in which a decision must be made on several social issues simultaneously, and, unlike the classic setting, a…

Computer Science and Game Theory · Computer Science 2017-06-01 Vincent Conitzer , Rupert Freeman , Nisarg Shah

The adoption of automated, data-driven decision making in an ever expanding range of applications has raised concerns about its potential unfairness towards certain social groups. In this context, a number of recent studies have focused on…

We consider transferable-utility profit-sharing games that arise from settings in which agents need to jointly choose one of several alternatives, and may use transfers to redistribute the welfare generated by the chosen alternative. One…

Theoretical Economics · Economics 2019-09-26 Moshe Babaioff , Uriel Feige

Recently, Landau, Reid and Yershov provided a novel solution to the problem of redistricting. Instead of trying to ensure fairness by restricting the shape of the possible maps or by assigning the power to draw the map to nonbiased…

Computer Science and Game Theory · Computer Science 2023-09-04 Zeph Landau , Francis Edward Su

We study a fair division setting in which participants are to be fairly distributed among teams, where not only do the teams have preferences over the participants as in the canonical fair division setting, but the participants also have…

Computer Science and Game Theory · Computer Science 2024-08-27 Ayumi Igarashi , Yasushi Kawase , Warut Suksompong , Hanna Sumita

In this paper, we study the problem of splitting fairly bundles of items. We show that given $n$ bundles with $m$ kinds of items in them, it is possible to distribute the value of each kind of item fairly among $r$ persons by breaking apart…

Combinatorics · Mathematics 2025-07-21 Pablo Soberón

This article explores the intricate dynamics of the Nile Basin dispute, a complex conflict involving Egypt, Ethiopia, and Sudan. Our central argument is that we can gain unique insights into this dispute by employing the principles of game…

General Economics · Economics 2024-05-31 Dwayne Woods

Chore division is the problem of fairly dividing some divisible, undesirable bad, such as a set of chores, among a number of players. Each player has their own valuation of the chores, and must be satisfied they did not receive more than…

Computer Science and Game Theory · Computer Science 2022-04-04 David Francis

Children, sitting in a circle, each have a nonnegative number of candies in front of them. A whistle is blown and each child with more than one candy passes one candy to the left and one to the right. The sharing process is repeated until a…

Combinatorics · Mathematics 2015-12-14 Grant Cairns

We study classic fair-division problems in a partial information setting. This paper respectively addresses fair division of rent, cake, and indivisible goods among agents with cardinal preferences. We will show that, for all of these…

Computer Science and Game Theory · Computer Science 2018-11-28 Eshwar Ram Arunachaleswaran , Siddharth Barman , Nidhi Rathi

There is arbitrariness in optimum solutions of graph-theoretic problems that can give rise to unfairness. Incorporating fairness in such problems, however, can be done in multiple ways. For instance, fairness can be defined on an individual…

Optimization and Control · Mathematics 2023-11-28 Christopher Hojny , Frits Spieksma , Sten Wessel

Algorithmic decision making systems are ubiquitous across a wide variety of online as well as offline services. These systems rely on complex learning methods and vast amounts of data to optimize the service functionality, satisfaction of…

Machine Learning · Statistics 2017-03-27 Muhammad Bilal Zafar , Isabel Valera , Manuel Gomez Rodriguez , Krishna P. Gummadi

Fair division of indivisible goods is a very well-studied problem. The goal of this problem is to distribute $m$ goods to $n$ agents in a "fair" manner, where every agent has a valuation for each subset of goods. We assume general…

Computer Science and Game Theory · Computer Science 2020-02-25 Bhaskar Ray Chaudhury , Tellikepalli Kavitha , Kurt Mehlhorn , Alkmini Sgouritsa

In this article we suggest a model of computation for the cake cutting problem. In this model the mediator can ask the same queries as in the Robertson-Webb model but he or she can only perform algebraic operations as in the Blum-Shub-Smale…

Computer Science and Game Theory · Computer Science 2019-07-11 Guillaume Chèze

The ``impossibility theorem'' -- which is considered foundational in algorithmic fairness literature -- asserts that there must be trade-offs between common notions of fairness and performance when fitting statistical models, except in two…

Machine Learning · Computer Science 2023-02-14 Andrew Bell , Lucius Bynum , Nazarii Drushchak , Tetiana Herasymova , Lucas Rosenblatt , Julia Stoyanovich

The definition of preferences assigned to individuals is a concept that concerns many disciplines, from economics, with the search of an acceptable outcome for an ensemble of individuals, to decision making an analysis of vote systems. We…

Physics and Society · Physics 2008-12-02 Elena Ramirez Barrios , Juan G. Diaz Ochoa