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One of the practical applications of cooperative transferable utility games involves determining the fee structure for users of a given facility, whose construction or maintenance costs need to be recouped. In this context, certain…

Optimization and Control · Mathematics 2024-02-12 Marcos Gómez-Rodríguez , Laura Davila-Pena , Balbina Casas-Méndez

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

We consider a variant of the berth allocation problem-i.e., the multi-port berth allocation problem-aimed at assigning berthing times and positions to vessels in container terminals. This variant involves optimizing vessel travel speeds…

Optimization and Control · Mathematics 2021-10-05 Bernardo Martin-Iradi , Dario Pacino , Stefan Ropke

The present study explores a problem that can be resolved by employing the notion of a partially defined cooperative game, yet cannot by using a restricted game. The following situation is considered: First, it is assumed that the worth of…

Computer Science and Game Theory · Computer Science 2025-11-27 Satoshi Masuya

In this paper we consider strategic cost sharing games with so-called arbitrary sharing based on various combinatorial optimization problems, such as vertex and set cover, facility location, and network design problems. We concentrate on…

Computer Science and Game Theory · Computer Science 2010-03-17 Martin Hoefer

In this paper, we study the total displacement statistic of parking functions from the perspective of cooperative game theory. We introduce parking games, which are coalitional cost-sharing games in characteristic function form derived from…

Combinatorics · Mathematics 2024-11-06 Jennifer Elder , Pamela E. Harris , Jan Kretschmann , J. Carlos Martínez Mori

I explain how faculty members could exploit a method to allocate travel funds and how to use game theory to design a method that cannot be manipulated.

Theoretical Economics · Economics 2021-10-11 Michael A. Jones

In this paper, we study a routing and travel-mode choice problem for mobility systems with a multimodal transportation network as a ``mobility game" with coupled action sets. We develop a game-theoretic framework to study the impact on…

Computer Science and Game Theory · Computer Science 2022-12-15 Ioannis Vasileios Chremos , Andreas A. Malikopoulos

Horizontal collaboration between operators can save traffic operation costs, a concept that has been particularly validated in the logistics field. Due to the increasing transportation demand and the introduction of charging times for…

Optimization and Control · Mathematics 2024-09-04 Dan-Wen Bao , Jia-Yi Zhou , Di Kang , Zhuo Chen

Profit-sharing is needed within platoons in order for competing transportation companies to collaborate in forming platoons. In this paper, we propose distribution models of the profit designed for vehicles that are located at the same…

Systems and Control · Electrical Eng. & Systems 2022-02-18 Alexander Johansson , Jonas Mårtensson

We present a partial operator-theoretic characterization of approachability principle and based on this characterization, we interpret a particular distributed payoff allocation algorithm to be a sequence of time-varying paracontractions.…

Systems and Control · Electrical Eng. & Systems 2019-12-02 Aitazaz Ali Raja , Sergio Grammatico

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

For drivers in ride-hailing companies, allocation within the city is paramount to get matched with rides. This decision depends on many factors, where some of them (such as demand and allocation of others) are unknown for the drivers, but…

Optimization and Control · Mathematics 2023-10-12 Gianfranco Liberona , David Salas , Léonard von Niederhäusern

The use of game theory in the design and control of large scale networked systems is becoming increasingly more important. In this paper, we follow this approach to efficiently solve a network allocation problem motivated by peer-to- peer…

Optimization and Control · Mathematics 2017-01-23 Fabio Fagnani , Barbara Franci

This paper investigates the potential benefits of cooperation in scenarios where finitely many agents compete for shared resources, leading to congestion and thereby reduced rewards. By appropriate coordination the members of the…

Computer Science and Game Theory · Computer Science 2024-10-10 Riya Sultana , Veeraruna Kavitha

Mobile edge computing (MEC), affords service to the vicinity of mobile devices (MDs), has become a key technology for future network. Offloading big data to the MEC server for preprocessing is a attractive choice of MDs. In the paper, we…

Computer Science and Game Theory · Computer Science 2017-09-14 Tian Zhang , Wei Chen , Feng Yang

The allocation of computing tasks for networked distributed services poses a question to service providers on whether centralized allocation management be worth its cost. Existing analytical models were conceived for users accessing…

Computer Science and Game Theory · Computer Science 2024-04-09 Vincenzo Mancuso , Paolo Castagno , Leonardo Badia , Matteo Sereno , Marco Ajmone Marsan

Providing resources to different users or applications is fundamental to cloud computing. This is a challenging problem as a cloud service provider may have insufficient resources to satisfy all user requests. Furthermore, allocating…

Multiagent Systems · Computer Science 2019-05-30 Faheem Zafari , Kin K. Leung , Don Towsley , Prithwish Basu , Ananthram Swami

We consider a cooperative game defined by an economic lot-sizing problem with heterogeneous costs over a finite time horizon, in which each firm faces demand for a single product in each period and coalitions can pool orders. The model of…

Systems and Control · Electrical Eng. & Systems 2024-02-06 Luis Guardiola , Ana Meca , Justo Puerto

The cost-sharing connection game is a variant of routing games on a network. In this model, given a directed graph with edge costs and edge capacities, each agent wants to construct a path from a source to a sink with low cost. The users…

Computer Science and Game Theory · Computer Science 2023-03-01 Tesshu Hanaka , Toshiyuki Hirose , Hirotaka Ono
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