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The core of Transferable Utility (T.U.) games is a well-known solution concept from cooperative game theory yielding a cost allocation among n agents (called players) forming a coalition that is stable (i.e. no subset of players has an…

Optimization and Control · Mathematics 2025-12-02 Nicolas Besson-Niebles , Sylvain Bouveret , Nadia Brauner , Nicolas Brulard

Congestion pricing, while adopted by many cities to alleviate traffic congestion, raises concerns about widening socioeconomic disparities due to its disproportionate impact on low-income travelers. We address this concern by proposing a…

Computer Science and Game Theory · Computer Science 2024-09-24 Chinmay Maheshwari , Kshitij Kulkarni , Druv Pai , Jiarui Yang , Manxi Wu , Shankar Sastry

Increasing urbanization and exacerbation of sustainability goals threaten the operational efficiency of current transportation systems and confront cities with complex choices with huge impact on future generations. At the same time, the…

Multiagent Systems · Computer Science 2021-11-09 Gioele Zardini , Nicolas Lanzetti , Laura Guerrini , Emilio Frazzoli , Florian Dörfler

The Owen value is an well-known allocation rule for cooperative games with coalition structure.In this paper, we introduce the concept of highly mutually dependent unions. Two unions in a cooperative game with coalition structure are said…

Theoretical Economics · Economics 2025-04-22 Songtao He , Erfang Shan , Hanqi Zhou

Fair cost allocation in community microgrids remains a significant challenge due to the complex interactions between multiple participants with varying load profiles, distributed energy resources, and storage systems. Traditional cost…

Systems and Control · Electrical Eng. & Systems 2025-02-14 K. Victor Sam Moses Babu , Pratyush Chakraborty , Mayukha Pal

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

Sharing economy has become a socio-economic trend in transportation and housing sectors. It develops business models leveraging underutilized resources. Like those sectors, power grid is also becoming smarter with many flexible resources,…

Systems and Control · Electrical Eng. & Systems 2023-01-13 K. Victor Sam Moses Babu , Satya Surya Vinay K , Pratyush Chakraborty

We study a class of probabilistic cooperative games which can be treated as an extension of the classical cooperative games with transferable utilities. The coalitions have an exogenous probability of being realized. This probability…

Theoretical Economics · Economics 2023-08-08 Surajit Borkotokey , Sujata Gowala , Rajnish Kumar

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

In this paper, we consider a sequence of transferable utility (TU) coalitional games where the coalitional values are unknown but vary within certain bounds. As a solution to the resulting family of games, we formalise the notion of "robust…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Aitazaz Ali Raja , Sergio Grammatico

In recent years, we have witnessed a remarkable surge of usage in shared vehicles in our cities. Shared mobility offers a future of no congestion in busy city roads with increasing populations of travelers, passengers, and drivers. Given…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Ioannis Vasileios Chremos , Andreas Malikopoulos

Motivated by the change in mobility patterns, we present a scheduling approach for a vehicle-sharing problem, considering several alternative modes of transport, from a company viewpoint with centralized planning. We consider…

Other Computer Science · Computer Science 2022-09-29 Miriam Enzi , Sophie N. Parragh , David Pisinger

Are rewards or penalties more effective in influencing user behavior? This work compares the effectiveness of subsidies and tolls in incentivizing users in congestion games. The predominantly studied method of influencing user behavior in…

Computer Science and Game Theory · Computer Science 2019-10-08 Bryce L. Ferguson , Philip N. Brown , Jason R. Marden

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 introduction of autonomous (self-driving) and shared autonomous vehicles (AVs and SAVs) will affect travel destinations and distances, mode choice, and congestion. From a traffic perspective, although some congestion reduction may be…

Computer Science and Game Theory · Computer Science 2018-11-14 Michele D. Simoni , Kara M. Kockelman , Krishna M. Gurumurthy , Joschka Bischoff

Cooperative game theory studies how to allocate the joint value generated by a set of players. These games are typically analyzed using the characteristic function form with transferable utility, which represents the value attainable by…

Theoretical Economics · Economics 2025-12-18 Ata Atay , Christian Trudeau

Vehicle platooning facilitates the partial automation of vehicles and can significantly reduce fuel consumption. Mobile communication infrastructure makes it possible to dynamically coordinate the formation of platoons en route. We consider…

Systems and Control · Computer Science 2016-02-25 Sebastian van de Hoef , Karl H. Johansson , Dimos V. Dimarogonas

Coalitional games serve the purpose of modeling payoff distribution problems in scenarios where agents can collaborate by forming coalitions in order to obtain higher worths than by acting in isolation. In the classical Transferable Utility…

Computer Science and Game Theory · Computer Science 2014-01-17 Gianluigi Greco , Enrico Malizia , Luigi Palopoli , Francesco Scarcello

Congestion pricing policies have emerged as promising traffic management tools to alleviate traffic congestion caused by travelers' selfish routing behaviors. The core principle behind deploying tolls is to impose monetary costs on…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Chih-Yuan Chiu

In this paper, we present a study of a mobility game with uncertainty in the decision-making of travelers and incorporate prospect theory to model travel behavior. We formulate a mobility game that models how travelers distribute their…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Ioannis Vasileios Chremos , Heeseung Bang , Aditya Dave , Viet-Anh Le , Andreas A. Malikopoulos