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Schelling's model is an influential model that reveals how individual perceptions and incentives can lead to residential segregation. Inspired by a recent stream of work, we study welfare guarantees and complexity in this model with respect…

Computer Science and Game Theory · Computer Science 2022-03-21 Martin Bullinger , Warut Suksompong , Alexandros A. Voudouris

\textit{Fair division} of resources among competing agents is a fundamental problem in computational social choice and economic game theory. It has been intensively studied on various kinds of items (\textit{divisible} and…

Computer Science and Game Theory · Computer Science 2023-10-03 Harmender Gahlawat , Meirav Zehavi

We consider strategic games that are inspired by Schelling's model of residential segregation. In our model, the agents are partitioned into k types and need to select locations on an undirected graph. Agents can be either stubborn, in…

Computer Science and Game Theory · Computer Science 2021-08-24 Edith Elkind , Jiarui Gan , Ayumi Igarashi , Warut Suksompong , Alexandros A. Voudouris

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 the computational complexity of finding fair allocations of indivisible goods in the setting where a social network on the agents is given. Notions of fairness in this context are "localized", that is, agents are only concerned…

Computer Science and Game Theory · Computer Science 2021-11-24 Neeldhara Misra , Debanuj Nayak

We continue and extend previous work on the parameterized complexity analysis of the NP-hard Stable Roommates with Ties and Incomplete Lists problem, thereby strengthening earlier results both on the side of parameterized hardness as well…

Computational Complexity · Computer Science 2021-03-09 Robert Bredereck , Klaus Heeger , Dušan Knop , Rolf Niedermeier

In the Multiagent Path Finding problem (MAPF for short), we focus on efficiently finding non-colliding paths for a set of $k$ agents on a given graph $G$, where each agent seeks a path from its source vertex to a target. An important…

Computational Complexity · Computer Science 2023-12-18 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler

The Assignment problem is a fundamental and well-studied problem in the intersection of Social Choice, Computational Economics and Discrete Allocation. In the Assignment problem, a group of agents expresses preferences over a set of items,…

Data Structures and Algorithms · Computer Science 2021-05-24 Barak Steindl , Meirav Zehavi

In the Seat Arrangement problem the goal is to allocate agents to vertices in a graph such that the resulting arrangement is optimal or fair in some way. Examples include an arrangement that maximises utility or one where no agent envies…

Data Structures and Algorithms · Computer Science 2026-01-27 José Rodríguez

Hedonic games model settings in which a set of agents have to be partitioned into groups which we call coalitions. In the enemy aversion model, each agent has friends and enemies, and an agent prefers to be in a coalition with as few…

Computer Science and Game Theory · Computer Science 2025-02-20 Martin Durand , Laurin Erlacher , Johanne Müller Vistisen , Sofia Simola

Motivated by real-world applications such as the allocation of public housing, we examine the problem of assigning a group of agents to vertices (e.g., spatial locations) of a network so that the diversity level is maximized. Specifically,…

Data Structures and Algorithms · Computer Science 2024-04-02 Zirou Qiu , Andrew Yuan , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

In this paper we study a resource allocation problem that encodes correlation between items in terms of \conflict and maximizes the minimum utility of the agents under a conflict free allocation. Admittedly, the problem is computationally…

Data Structures and Algorithms · Computer Science 2023-09-12 Sushmita Gupta , Pallavi Jain , Saket Saurabh

Scheduling theory is an old and well-established area in combinatorial optimization, whereas the much younger area of parameterized complexity has only recently gained the attention of the community. Our aim is to bring these two areas…

Data Structures and Algorithms · Computer Science 2017-09-14 Danny Hermelin , Judith-Madeleine Kubitza , Dvir Shabtay , Nimrod Talmon , Gerhard Woeginger

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

We study four NP-hard optimal seat arrangement problems [Bodlaender et al., 2020a], which each have as input a set of n agents, where each agent has cardinal preferences over other agents, and an n-vertex undirected graph (called seat…

Computer Science and Game Theory · Computer Science 2023-05-18 Esra Ceylan , Jiehua Chen , Sanjukta Roy

We consider ordinal approximation algorithms for a broad class of utility maximization problems for multi-agent systems. In these problems, agents have utilities for connecting to each other, and the goal is to compute a maximum-utility…

Multiagent Systems · Computer Science 2017-11-30 Ben Abramowitz , Elliot Anshelevich

We analyze the run-time complexity of computing allocations that are both fair and maximize the utilitarian social welfare, defined as the sum of agents' utilities. We focus on two tractable fairness concepts: envy-freeness up to one item…

Computer Science and Game Theory · Computer Science 2024-09-23 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

The maximum Nash social welfare (NSW) -- which maximizes the geometric mean of agents' utilities -- is a fundamental solution concept with remarkable fairness and efficiency guarantees. The computational aspects of NSW have been extensively…

Computer Science and Game Theory · Computer Science 2023-12-15 Pallavi Jain , Rohit Vaish

Now that machine learning algorithms lie at the center of many resource allocation pipelines, computer scientists have been unwittingly cast as partial social planners. Given this state of affairs, important questions follow. What is the…

Machine Learning · Computer Science 2019-05-02 Lily Hu , Yiling Chen

Partitioning a set of $n$ items or agents while maximizing the value of the partition is a fundamental algorithmic task. We study this problem in the specific setting of maximizing social welfare in additively separable hedonic games.…

Computer Science and Game Theory · Computer Science 2025-03-11 Martin Bullinger , Vaggos Chatziafratis , Parnian Shahkar
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