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Related papers: Hedonic Seat Arrangement Problems

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Resource allocation and scheduling are a common problem in various distributed systems. Although widely studied, the state-of-the-art solutions either do not scale or lack the expressive power to capture the most complex instances of the…

Data Structures and Algorithms · Computer Science 2025-06-03 Rajpreet Singh , Novak Boškov , Aditya Gudal , Manzoor A. Khan

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 relationships between different relaxed notions of core stability in hedonic games, which are a class of coalition formation games. Our unified approach applies to a newly introduced family of hedonic games, called $\alpha$-hedonic…

Computer Science and Game Theory · Computer Science 2024-12-10 Tom Demeulemeester , Jannik Peters

We study the problem of Envy-Free Incomplete Connected Fair Division, where exactly p vertices of an undirected graph must be allocated to agents such that each agent receives a connected share and does not envy another agent's share.…

Data Structures and Algorithms · Computer Science 2025-12-30 Ajaykrishnan E S , Daniel Lokshtanov

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

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 allocating indivisible goods among agents with additive valuation functions to achieve both fairness and efficiency under the constraint that each agent receives exactly the same number of goods (the \emph{balanced…

Computer Science and Game Theory · Computer Science 2026-03-09 Yasushi Kawase , Ryoga Mahara

We consider the classical mathematical economics problem of {\em Bayesian optimal mechanism design} where a principal aims to optimize expected revenue when allocating resources to self-interested agents with preferences drawn from a known…

Computer Science and Game Theory · Computer Science 2010-01-15 Shuchi Chawla , Jason Hartline , David Malec , Balasubramanian Sivan

This paper develops a game-theoretic decision-making framework for autonomous driving in multi-agent scenarios. A novel hierarchical game-based decision framework is developed for the ego vehicle. This framework features an interaction…

Systems and Control · Electrical Eng. & Systems 2025-07-30 Mushuang Liu , Yan Wan , Frank Lewis , Subramanya Nageshrao , H. Eric Tseng , Dimitar Filev

Given a set of $m$ agents and a set of $n$ items, where agent $A$ has utility $u_{A,i}$ for item $i$, our goal is to allocate items to agents to maximize fairness. Specifically, the utility of an agent is the sum of its utilities for items…

Data Structures and Algorithms · Computer Science 2009-01-05 Deeparnab Chakrabarty , Julia Chuzhoy , Sanjeev Khanna

In several socioeconomic-critical decision-making settings, such as fair resource allocation, climate policy, or AI alignment, multiple principals interact within a common arena. While it is well established that these principals may have…

Computer Science and Game Theory · Computer Science 2026-05-13 Sarvin Bahmani , Soumyajit Paul , Sven Schewe , Shadi Tasdighi Kalat , Ashutosh Trivedi

We study two-player (zero-sum) concurrent mean-payoff games played on a finite-state graph. We focus on the important sub-class of ergodic games where all states are visited infinitely often with probability 1. The algorithmic study of…

Computer Science and Game Theory · Computer Science 2014-04-24 Krishnendu Chatterjee , Rasmus Ibsen-Jensen

Graph is an abstract representation commonly used to model networked systems and structure. In problems across various fields, including computer vision and pattern recognition, and neuroscience, graphs are often brought into comparison (a…

Optimization and Control · Mathematics 2022-03-04 Quoc Van Tran , Hyo-Sung Ahn

We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

Computer Science and Game Theory · Computer Science 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

With spectrum auctions as our prime motivation, in this paper we analyze combinatorial auctions where agents' valuations exhibit complementarities. Assuming that the agents only value bundles of size at most $k$ and also assuming that we…

Computer Science and Game Theory · Computer Science 2016-06-07 Dengwang Tang , Vijay Subramanian

The past few years have seen a surge of work on fairness in allocation problems where items must be fairly divided among agents having individual preferences. In comparison, fairness in settings with preferences on both sides, that is,…

Computer Science and Game Theory · Computer Science 2022-05-26 Shivika Narang , Arpita Biswas , Y Narahari

We consider the interaction among agents engaging in a driving task and we model it as general-sum game. This class of games exhibits a plurality of different equilibria posing the issue of equilibrium selection. While selecting the most…

We consider a novel setting where a set of items are matched to the same set of agents repeatedly over multiple rounds. Each agent gets exactly one item per round, which brings interesting challenges to finding efficient and/or fair {\em…

Computer Science and Game Theory · Computer Science 2022-07-05 Ioannis Caragiannis , Shivika Narang

Mobile edge computing (MEC) is a promising technique for providing low-latency access to services at the network edge. The services are hosted at various types of edge nodes with both computation and communication capabilities. Due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-18 Stephen Pasteris , Shiqiang Wang , Mark Herbster , Ting He

We consider a general class of multi-agent games in networks, namely the generalized vertex coloring games (G-VCGs), inspired by real-life applications of the venue selection problem in events planning. Certain utility responding to the…

Discrete Mathematics · Computer Science 2023-09-19 Zeyi Chen