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The sequential allocation protocol is a simple and popular mechanism to allocate indivisible goods, in which the agents take turns to pick the items according to a predefined sequence. While this protocol is not strategy-proof, it has been…

Computer Science and Game Theory · Computer Science 2019-11-27 Michele Flammini , Hugo Gilbert

We study a setting in which a principal selects an agent to execute a collection of tasks according to a specified priority sequence. Agents, however, have their own individual priority sequences according to which they wish to execute the…

Computer Science and Game Theory · Computer Science 2024-10-30 Donya G. Dobakhshari , Lav R. Varshney , Vijay Gupta

We study allocation problems without monetary transfers where agents have correlated types, i.e., hold private information about one another. Such peer information is relevant in various settings, including science funding, allocation of…

Theoretical Economics · Economics 2025-03-21 Axel Niemeyer , Justus Preusser

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 study the Popular Matching problem in multiple models, where the preferences of the agents in the instance may change or may be unknown/uncertain. In particular, we study an Uncertainty model, where each agent has a possible set of…

Computer Science and Game Theory · Computer Science 2025-06-06 Gergely Csáji

We study the fair allocation of indivisible goods among agents, with a focus on limiting envy. A central open question in this area is the existence of EFX allocations-allocations in which any envy of any agent i towards any agent j…

Computer Science and Game Theory · Computer Science 2025-12-29 Mahyar Afshinmehr , Arash Ashuri , Pouria Mahmoudkhan , Kurt Mehlhorn

The \textsc{Housing Market} problem is a widely studied resource allocation problem. In this problem, each agent can only receive a single object and has preferences over all objects. Starting from an initial endowment, we want to reach a…

Data Structures and Algorithms · Computer Science 2020-07-23 Sen Huang , Mingyu Xiao

When dividing items among agents, two of the most widely studied fairness notions are envy-freeness and proportionality. We consider a setting where $m$ chores are allocated to $n$ agents and the disutility of each chore for each agent is…

Computer Science and Game Theory · Computer Science 2025-04-30 Pasin Manurangsi , Warut Suksompong

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

We study the fair division problem of allocating $m$ indivisible goods to $n$ agents with additive personalized bi-valued utilities. Specifically, each agent $i$ assigns one of two positive values $a_i > b_i > 0$ to each good, indicating…

Computer Science and Game Theory · Computer Science 2025-10-20 Jiarong Jin , Biaoshuai Tao

Many scenarios where agents with restrictions compete for resources can be cast as maximum matching problems on bipartite graphs. Our focus is on resource allocation problems where agents may have restrictions that make them incompatible…

Artificial Intelligence · Computer Science 2022-09-13 Yohai Trabelsi , Abhijin Adiga , Sarit Kraus , S. S. Ravi

We study mechanisms for an allocation of goods among agents, where agents have no incentive to lie about their true values (incentive compatible) and for which no agent will seek to exchange outcomes with another (envy-free). Mechanisms…

Computer Science and Game Theory · Computer Science 2010-03-30 Edith Cohen , Michal Feldman , Amos Fiat , Haim Kaplan , Svetlana Olonetsky

In this paper, we study a variant of hedonic games, called \textsc{Seat Arrangement}. The model is defined by a bijection from agents with preferences for each other to vertices in a graph $G$. The utility of an agent depends on the…

Computer Science and Game Theory · Computer Science 2025-07-30 Hans L. Bodlaender , Tesshu Hanaka , Lars Jaffke , Hirotaka Ono , Yota Otachi , Tom C. van der Zanden

Motivated by the increasing interest in the explicit representation and handling of various "preference" structures arising in modern digital economy, this work introduces a new class of "one-to-many stable-matching" problems where a set of…

Multiagent Systems · Computer Science 2025-03-19 Spyros Reveliotis , Eva Robillard

We consider the problem of fairly allocating the vertices of a graph among $n$ agents, where the value of a bundle is determined by its cut value -- the number of edges with exactly one endpoint in the bundle. This model naturally captures…

Computer Science and Game Theory · Computer Science 2025-11-06 Hadi Hosseini , Shraddha Pathak , Yu Zhou

We consider the allocation of indivisible objects among agents with different valuations, which can be positive or negative. An egalitarian allocation is an allocation that maximizes the smallest value given to an agent; finding such an…

Computer Science and Game Theory · Computer Science 2023-08-30 Israel Jacobovich , Erel Segal-Halevi

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

In this paper, we study some multiagent variants of the knapsack problem. Fluschnik et al. [AAAI 2019] considered the model in which every agent assigns some utility to every item. They studied three preference aggregation rules for finding…

Computer Science and Game Theory · Computer Science 2022-08-05 Sushmita Gupta , Pallavi Jain , Sanjay Seetharaman

This paper is devoted to a study of single-peakedness on arbitrary graphs. Given a collection of preferences (rankings of a set of alternatives), we aim at determining a connected graph G on which the preferences are single-peaked, in the…

Computer Science and Game Theory · Computer Science 2020-04-29 Bruno Escoffier , Olivier Spanjaard , Magdaléna Tydrichová

We revisit the setting of fairly allocating indivisible items when agents have different weights representing their entitlements. First, we propose a parameterized family of relaxations for weighted envy-freeness and the same for weighted…

Computer Science and Game Theory · Computer Science 2024-09-10 Mithun Chakraborty , Erel Segal-Halevi , Warut Suksompong