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We consider item allocation to individual agents who have additive valuations, in settings in which there are protected groups, and the allocation needs to give each protected group its "fair" share of the total welfare. Informally, within…

Computer Science and Game Theory · Computer Science 2022-04-15 Uriel Feige , Yehonatan Tahan

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 the following: at each stage, a designated agent picks one object among those that…

Computer Science and Game Theory · Computer Science 2016-04-07 Sylvain Bouveret , Michel Lemaître

We introduce the study of designing allocation mechanisms for fairly allocating indivisible goods in settings with interdependent valuation functions. In our setting, there is a set of goods that needs to be allocated to a set of agents…

Computer Science and Game Theory · Computer Science 2023-05-24 Georgios Birmpas , Tomer Ezra , Stefano Leonardi , Matteo Russo

We consider allocating indivisible goods with provable fairness guarantees that are satisfied regardless of which bundle of items each agent receives. Symmetrical allocations of this type are known to exist for divisible resources, such as…

Computer Science and Game Theory · Computer Science 2024-06-21 Connor Johnston , Aleksandr M. Kazachkov

We study the fair division of a collection of $m$ indivisible goods amongst a set of $n$ agents. Whilst envy-free allocations typically do not exist in the indivisible goods setting, envy-freeness can be achieved if some amount of a…

Computer Science and Game Theory · Computer Science 2019-12-06 Johannes Brustle , Jack Dippel , Vishnu V. Narayan , Mashbat Suzuki , Adrian Vetta

The problem of fair division known as "cake cutting" has been the focus of multiple papers spanning several decades. The most prominent problem in this line of work has been to bound the query complexity of computing an envy-free outcome in…

Computer Science and Game Theory · Computer Science 2022-01-14 Ioannis Caragiannis , Vasilis Gkatzelis , Alexandros Psomas , Daniel Schoepflin

We design online algorithms for the fair allocation of public goods to a set of $N$ agents over a sequence of $T$ rounds and focus on improving their performance using predictions. In the basic model, a public good arrives in each round,…

Computer Science and Game Theory · Computer Science 2022-10-03 Siddhartha Banerjee , Vasilis Gkatzelis , Safwan Hossain , Billy Jin , Evi Micha , Nisarg Shah

We consider the problem of fairly allocating indivisible public goods. We model the public goods as elements with feasibility constraints on what subsets of elements can be chosen, and assume that agents have additive utilities across…

Computer Science and Game Theory · Computer Science 2018-05-10 Brandon Fain , Kamesh Munagala , Nisarg Shah

We study the fair allocation of indivisible goods among agents with identical, additive valuations but individual budget constraints. Here, the indivisible goods--each with a specific size and value--need to be allocated such that the…

Computer Science and Game Theory · Computer Science 2023-03-20 Siddharth Barman , Arindam Khan , Sudarshan Shyam , K. V. N. Sreenivas

The paper considers fair allocation of indivisible nondisposable items that generate disutility (chores). We assume that these items are placed in the vertices of a graph and each agent's share has to form a connected subgraph of this…

Artificial Intelligence · Computer Science 2018-12-06 Sylvain Bouveret , Katarína Cechlárová , Julien Lesca

When utilities are additive, we uncovered in our previous paper (Bogomolnaia et al. "Dividing Goods or Bads under Additive Utilities") many similarities but also surprising differences in the behavior of the familiar Competitive rule (with…

Computer Science and Game Theory · Computer Science 2016-10-13 Anna Bogomolnaia , Herve Moulin , Fedor Sandomirskiy , Elena Yanovskaya

We study the problem of fair division of a set of indivisible goods with connectivity constraints. Specifically, we assume that the goods are represented as vertices of a connected graph, and sets of goods allocated to the agents are…

Discrete Mathematics · Computer Science 2025-08-18 Václav Blažej , Michał Dębski , Zbigniew Lonc , Marta Piecyk , Paweł Rzążewski

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

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

Ranking alternatives is a natural way for humans to explain their preferences. It is being used in many settings, such as school choice, course allocations and residency matches. In some cases, several `items' are given to each participant.…

Computer Science and Game Theory · Computer Science 2022-12-06 Erel Segal-Halevi , Haris Aziz , Avinatan Hassidim

We study the problem of fairly allocating indivisible goods among agents which are equipped with {\em leveled} valuation functions. Such preferences, that have been studied before in economics and fair division literature, capture a simple…

Computer Science and Game Theory · Computer Science 2025-02-17 George Christodoulou , Vasilis Christoforidis

We study the mechanism design problem of allocating a set of indivisible items without monetary transfers. Despite the vast literature on this very standard model, it still remains unclear how do truthful mechanisms look like. We focus on…

Computer Science and Game Theory · Computer Science 2017-05-31 Georgios Amanatidis , Georgios Birmpas , George Christodoulou , Evangelos Markakis

Resource allocation problems are a fundamental domain in which to evaluate the fairness properties of algorithms. The trade-offs between fairness and utilization have a long history in this domain. A recent line of work has considered…

Data Structures and Algorithms · Computer Science 2020-10-20 Kate Donahue , Jon Kleinberg

Incorporating fairness criteria in optimization problems comes at a certain cost, which is measured by the so-called price of fairness. Here we consider the allocation of indivisible goods. For envy-freeness as fairness criterion it is…

Computer Science and Game Theory · Computer Science 2014-06-24 Sascha Kurz

We study the maximin share (MMS) fair allocation of $m$ indivisible chores to $n$ agents who have costs for completing the assigned chores. It is known that exact MMS fairness cannot be guaranteed, and so far the best-known approximation…

Computer Science and Game Theory · Computer Science 2023-05-19 Bo Li , Fangxiao Wang , Yu Zhou