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We study the recently introduced fair division concept of the happy nucleolus for cost allocation among players in a cooperative game, with special focus on its computation. The happy nucleolus applies the same fairness criterion as the…

Computer Science and Game Theory · Computer Science 2025-11-17 Daniel Ebert , Antonia Ellerbrock

We investigate a routing game that allows for the creation of coalitions, within the framework of cooperative game theory. Specifically, we describe the cost of each coalition as its maximin value. This represents the performance that the…

Networking and Internet Architecture · Computer Science 2016-11-01 Gideon Blocq , Ariel Orda

This paper studies an energy storage (ES) sharing model which is cooperatively invested by multiple buildings for harnessing on-site renewable utilization and grid price arbitrage. To maximize the economic benefits, we jointly consider the…

Computer Science and Game Theory · Computer Science 2021-04-06 Yu Yang , Guoqiang Hu , Costas J. Spanos

How to form groups in a mobility system that offers shared rides, and how to split the costs within the travellers of a group, are non-trivial tasks, as two objectives conflict: 1) minimising the total costs of the system, and 2) making…

Computer Science and Game Theory · Computer Science 2021-05-07 Andres Fielbaum , Rafal Kucharski , Oded Cats , Javier Alonso-Mora

The nucleolus offers a desirable payoff-sharing solution in cooperative games thanks to its attractive properties - it always exists and lies in the core (if the core is non-empty), and is unique. Although computing the nucleolus is very…

Optimization and Control · Mathematics 2017-04-28 Tri-Dung Nguyen

This paper defines a general class of cooperative games for which the nucleolus is efficiently computable. This class includes new members for which the complexity of computing their nucleolus was not previously known. We show that when the…

Computer Science and Game Theory · Computer Science 2020-10-01 Jochen Koenemann , Justin Toth

We study the nucleolus in a class of cooperative games where agents collaborate by sharing demands and production-distribution capacities across multiple markets. These production-distribution games form a structured subclass of linear…

Computer Science and Game Theory · Computer Science 2025-09-03 Mourad Baïou , Gianpaolo Oriolo , Gautier Stauffer

We study bargaining games between suppliers and manufacturers in a network context. Agents wish to enter into contracts in order to generate surplus which then must be divided among the participants. Potential contracts and their surplus…

Computer Science and Game Theory · Computer Science 2015-03-14 MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Nicole Immorlica , Hamid Mahini

The arboricity of a graph is the minimum number of forests required to cover all its edges. In this paper, we examine arboricity from a game-theoretic perspective and investigate cost-sharing in the minimum forest cover problem. We…

Computer Science and Game Theory · Computer Science 2022-02-01 Han Xiao , Qizhi Fang

The airport game is a classical and well-known model of fair cost-sharing for a single facility among multiple agents. This paper extends it to the so-called assignment setting, that is, for multiple facilities and agents, each agent…

Computer Science and Game Theory · Computer Science 2021-05-06 Yuki Amano , Ayumi Igarashi , Yasushi Kawase , Kazuhisa Makino , Hirotaka Ono

In cooperative multi-agent reinforcement learning (MARL), agents typically form a single grand coalition based on credit assignment to tackle a composite task, often resulting in suboptimal performance. This paper proposed a nucleolus-based…

Multiagent Systems · Computer Science 2025-03-04 Yugu Li , Zehong Cao , Jianglin Qiao , Siyi Hu

Consider a setting where selfish agents are to be assigned to coalitions or projects from a fixed set P. Each project k is characterized by a valuation function; v_k(S) is the value generated by a set S of agents working on project k. We…

Computer Science and Game Theory · Computer Science 2015-08-28 Elliot Anshelevich , Shreyas Sekar

Recommending routes by their probability of having a rider has long been the goal of conventional route recommendation systems. While this maximizes the platform-specific criteria of efficiency, it results in sub-optimal outcomes with the…

Data Structures and Algorithms · Computer Science 2025-04-24 Aqsa Ashraf Makhdomi , Iqra Altaf Gillani

Collaborative Vehicle Routing is where delivery companies cooperate by sharing their delivery information and performing delivery requests on behalf of each other. This achieves economies of scale and thus reduces cost, greenhouse gas…

Machine Learning · Computer Science 2023-10-27 Stephen Mak , Liming Xu , Tim Pearce , Michael Ostroumov , Alexandra Brintrup

We consider a multi-organizational system in which each organization contributes processors to the global pool but also jobs to be processed on the common resources. The fairness of the scheduling algorithm is essential for the stability…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-23 Piotr Skowron , Krzysztof Rzadca

Task allocation problems have traditionally focused on cost optimization. However, more and more attention is being given to cases in which cost should not always be the sole or major consideration. In this paper we study a fair task…

Artificial Intelligence · Computer Science 2016-12-08 Qing Chuan Ye , Yingqian Zhang , Rommert Dekker

We consider cost allocation for set covering problems. We allocate as much cost to the elements (players) as possible without violating the group rationality condition (no subset of players pays more than covering this subset would cost),…

Combinatorics · Mathematics 2024-08-05 Jannis Blauth , Antonia Ellerbrock , Vera Traub , Jens Vygen

Ride-sharing services are gaining popularity and are crucial for a sustainable environment. A special case in which such services are most applicable, is the last mile variant. In this variant it is assumed that all the passengers are…

Computer Science and Game Theory · Computer Science 2019-09-12 Chaya Levinger , Noam Hazon , Amos Azaria

Sharing economy is a distributed peer-to-peer economic paradigm, which gives rise to a variety of social interactions for economic purposes. One fundamental distributed decision-making process is coalition formation for sharing certain…

Computer Science and Game Theory · Computer Science 2019-03-06 Chi-Kin Chau , Khaled Elbassioni

This paper studies the problem of allocating tasks from different customers to vehicles in mobility platforms, which are used for applications like food and package delivery, ridesharing, and mobile sensing. A mobility platform should…

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