English
Related papers

Related papers: Fair Division with Interdependent Values

200 papers

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

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 the task of assigning indivisible goods to a set of agents in a fair manner. Our notion of fairness is Nash social welfare, i.e., the goal is to maximize the geometric mean of the utilities of the agents. Each good comes in…

Data Structures and Algorithms · Computer Science 2019-05-13 Bhaskar Chaudhury , Yun Kuen Cheung , Jugal Garg , Naveen Garg , Martin Hoefer , Kurt Mehlhorn

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

In this paper, we consider the problem of fair division of indivisible goods when the allocation of goods impacts society. Specifically, we introduce a second valuation function for each agent, determining the social impact of allocating a…

Computer Science and Game Theory · Computer Science 2024-12-20 Michele Flammini , Gianluigi Greco , Giovanna Varricchio

The notion of \emph{envy-freeness} is a natural and intuitive fairness requirement in resource allocation. With indivisible goods, such fair allocations are unfortunately not guaranteed to exist. Classical works have avoided this issue by…

Computer Science and Game Theory · Computer Science 2021-05-06 Hiromichi Goko , Ayumi Igarashi , Yasushi Kawase , Kazuhisa Makino , Hanna Sumita , Akihisa Tamura , Yu Yokoi , Makoto Yokoo

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

We study the problem of fairly allocating a set of $m$ goods among $n$ agents in the asymptotic setting, where each item's value for each agent is drawn from an underlying joint distribution. Prior works have shown that if this distribution…

Computer Science and Game Theory · Computer Science 2025-12-12 Jugal Garg , Vishnu V. Narayan , Yuang Eric Shen

Frequent violations of fair principles in real-life settings raise the fundamental question of whether such principles can guarantee the existence of a self-enforcing equilibrium in a free economy. We show that elementary principles of…

Theoretical Economics · Economics 2021-07-28 Ghislain H. Demeze-Jouatsa , Roland Pongou , Jean-Baptiste Tondji

We study fair division of indivisible goods in a single-parameter environment. In particular, we develop truthful social welfare maximizing mechanisms for fairly allocating indivisible goods. Our fairness guarantees are in terms of solution…

Computer Science and Game Theory · Computer Science 2019-01-29 Siddharth Barman , Ganesh Ghalme , Shweta Jain , Pooja Kulkarni , Shivika Narang

We study fair division of divisible goods under generalized assignment constraints. Here, each good has an agent-specific value and size, and every agent has a budget constraint that limits the total size of the goods she can receive. Since…

Computer Science and Game Theory · Computer Science 2026-03-03 Siddharth Barman , Ioannis Caragiannis , Sudarshan Shyam

We study fair allocation of indivisible goods to agents with unequal entitlements. Fair allocation has been the subject of many studies in both divisible and indivisible settings. Our emphasis is on the case where the goods are indivisible…

Computer Science and Game Theory · Computer Science 2017-04-12 Alireza Farhadi , Mohammad Ghodsi , MohammadTaghi Hajiaghayi , Sebastien Lahaie , David Pennock , Masoud Seddighin , Saeed Seddighin , Hadi Yami

We study the question of existence and fast computation of fair and efficient allocations of indivisible resources among agents with additive valuations. As such allocations may not exist for arbitrary instances, we ask if they exist for…

Computer Science and Game Theory · Computer Science 2025-12-22 Aprup Kale , Rucha Kulkarni , Navya Garg

One of the important yet insufficiently studied subjects in fair allocation is the externality effect among agents. For a resource allocation problem, externalities imply that a bundle allocated to an agent may affect the utilities of other…

Computer Science and Game Theory · Computer Science 2018-05-17 Mohammad Ghodsi , Hamed Saleh , Masoud Seddighin

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.…

Artificial Intelligence · Computer Science 2018-08-01 Aurélie Beynier , Sylvain Bouveret , Michel Lemaître , Nicolas Maudet , Simon Rey

Most of the existing algorithms for fair division do not consider externalities. Under externalities, the utility an agent obtains depends not only on its allocation but also on the allocation of other agents. An agent has a positive…

Computer Science and Game Theory · Computer Science 2022-02-28 Shaily Mishra , Manisha Padala , Sujit Gujar

We study the problem of fairly allocating indivisible goods to agents in an online setting, where goods arrive sequentially and must be allocated irrevocably. Focusing on the popular fairness notions of envy-freeness, proportionality, and…

Computer Science and Game Theory · Computer Science 2026-05-29 Tzeh Yuan Neoh , Jannik Peters , Nicholas Teh

We study Fisher markets that admit equilibria wherein each good is integrally assigned to some agent. While strong existence and computational guarantees are known for equilibria of Fisher markets with additive valuations, such equilibria,…

Computer Science and Game Theory · Computer Science 2018-11-22 Siddharth Barman , Sanath Kumar Krishnamurthy

We consider the problem of allocating a set on indivisible items to players with private preferences in an efficient and fair way. We focus on valuations that have dichotomous marginals, in which the added value of any item to a set is…

Computer Science and Game Theory · Computer Science 2020-12-25 Moshe Babaioff , Tomer Ezra , Uriel Feige

Fair division has long been an important problem in the economics literature. In this note, we consider the existence of proportionally fair allocations of indivisible goods, i.e., allocations of indivisible goods in which every agent gets…

Computer Science and Game Theory · Computer Science 2019-08-19 Warut Suksompong