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Related papers: Cutting the Cake: A Language for Fair Division

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Writing correct distributed programs is hard. In spite of extensive testing and debugging, software faults persist even in commercial grade software. Many distributed systems, especially those employed in safety-critical environments,…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Neeraj Mittal , Vijay K. Garg

This paper explores the fair allocation of indivisible items in a multidimensional setting, motivated by the need to address fairness in complex environments where agents assess bundles according to multiple criteria. Such multidimensional…

Computer Science and Game Theory · Computer Science 2025-06-30 Yasushi Kawase , Bodhayan Roy , Mohammad Azharuddin Sanpui

We consider the discrete assignment problem in which agents express ordinal preferences over objects and these objects are allocated to the agents in a fair manner. We use the stochastic dominance relation between fractional or randomized…

Computer Science and Game Theory · Computer Science 2015-06-18 Haris Aziz , Serge Gaspers , Simon Mackenzie , Toby Walsh

Two simple and attractive mechanisms for the fair division of indivisible goods in an online setting are LIKE and BALANCED LIKE. We study some fundamental computational problems concerning the outcomes of these mechanisms. In particular, we…

Computer Science and Game Theory · Computer Science 2020-06-30 Martin Aleksandrov , Toby Walsh

We study a fair allocation problem of indivisible items under additive externalities in which each agent also receives values from items that are assigned to other agents. We propose several new fairness concepts. We extend the well-studied…

Computer Science and Game Theory · Computer Science 2022-12-01 Haris Aziz , Warut Suksompong , Zhaohong Sun , Toby Walsh

We study the problem of allocating a set of indivisible items among agents whose preferences include externalities. Unlike the standard fair division model, agents may derive positive or negative utility not only from items allocated…

Computer Science and Game Theory · Computer Science 2026-01-21 Frank Connor , Max Dupré la Tour , Vishnu V. Narayan , Šimon Schierreich

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…

Computer Science and Game Theory · Computer Science 2022-02-18 Haris Aziz , Bo Li , Herve Moulin , Xiaowei Wu

We consider fair division problems where indivisible items arrive one-by-one in an online fashion and are allocated immediately to agents who have additive utilities over these items. Many existing offline mechanisms do not work in this…

Computer Science and Game Theory · Computer Science 2020-06-30 Martin Aleksandrov , Toby Walsh

Relying on configuration spaces and equivariant topology, we study a general "cooperative envy-free division problem". A group of players want to cut a "cake" $I=[0,1]$ and divide among themselves the pieces in an envy-free manner. Once the…

Combinatorics · Mathematics 2023-02-08 Duško Jojić , Gaiane Panina , Rade Živaljević

Fair division mechanisms for indivisible goods require agent orderings to deterministically select one allocation when running the algorithm in practice. We introduce position envy-freeness up to one good (PEF1) as a fairness criterion for…

Computer Science and Game Theory · Computer Science 2025-11-18 Ryoga Mahara , Ryuhei Mizutani , Taihei Oki , Tomohiko Yokoyama

This paper considers a novel variant of the online fair division problem involving multiple agents in which a learner sequentially observes an indivisible item that has to be irrevocably allocated to one of the agents while satisfying a…

Machine Learning · Computer Science 2025-05-30 Arun Verma , Indrajit Saha , Makoto Yokoo , Bryan Kian Hsiang Low

We study the fair allocation of indivisible goods with variable groups. In this model, the goal is to partition the agents into groups of given sizes and allocate the goods to the groups in a fair manner. We show that for any number of…

Computer Science and Game Theory · Computer Science 2025-11-11 Paul Gölz , Ayumi Igarashi , Pasin Manurangsi , Warut Suksompong

We study the classic problem of dividing a collection of indivisible resources in a fair and efficient manner among a set of agents having varied preferences. Pareto optimality is a standard notion of economic efficiency, which states that…

Computer Science and Game Theory · Computer Science 2023-07-25 Ioannis Caragiannis , Kristoffer Arnsfelt Hansen , Nidhi Rathi

The allocation of resources among multiple agents is a fundamental problem in both economics and computer science. In these settings, fairness plays a crucial role in ensuring social acceptability and practical implementation of resource…

Computer Science and Game Theory · Computer Science 2025-06-11 Hadi Hosseini , Joshua Kavner , Samarth Khanna , Sujoy Sikdar , Lirong Xia

In this paper we study envy-free division problems. The classical approach to such problems, used by David Gale, reduces to considering continuous maps of a simplex to itself and finding sufficient conditions for this map to hit the center…

Algebraic Topology · Mathematics 2021-05-25 Sergey Avvakumov , Roman Karasev

The chore division problem simulates the fair division of a heterogeneous, undesirable resource among several agents. In the fair division of chores, each agent only gets the disutility from its own piece. Agents may, however, also be…

Computer Science and Game Theory · Computer Science 2024-02-27 Mohammad Azharuddin Sanpui

We initiate the study of the communication complexity of fair division with indivisible goods. We focus on some of the most well-studied fairness notions (envy-freeness, proportionality, and approximations thereof) and valuation classes…

Computer Science and Game Theory · Computer Science 2020-03-25 Benjamin Plaut , Tim Roughgarden

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

The current practice of envy-free rent division, lead by the fair allocation website Spliddit, is based on quasi-linear preferences. These preferences rule out agents' well documented financial constraints. To resolve this issue we consider…

Computer Science and Game Theory · Computer Science 2020-02-11 Rodrigo A. Velez

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