@techreport{avrachenkov10inria_rr7480,
    hal_id = {inria-00544527},
    url = {http://hal.inria.fr/inria-00544527/en/},
    title = {{A Nash bargaining solution for Cooperative Network Formation Games}},
    author = {Avrachenkov, Konstantin and Elias, Jocelyne and Martignon, Fabio and Neglia, Giovanni and Petrosyan, Leon},
    abstract = {{The Network Formation problem has received increasing attention in recent years. Previous works have addressed this problem considering only networks designed by selfish users, which can be consistently suboptimal. This paper addresses the network formation issue using cooperative game theory, which permits to study ways to enforce and sustain cooperation among agents. Both the Nash bargaining solution and the Shapley value are widely applicable concepts for solving these games. However, we show that the Shapley value presents three main drawbacks in this context: (1) it is non-trivial to define meaningful characteristic functions for the cooperative network formation game, (2) it can determine for some players cost allocations that can be higher than those at the Nash Equilibrium (and then, if the players refuse to cooperate), and (3) it is computationally very cumbersome. For this reason, we solve the cooperative network formation game using the Nash bargaining solution (NBS) concept. More specifically, we extend the NBS approach to the case of multiple players and give an explicit expression for users' cost allocations. Furthermore, we compare the NBS to the Shapley value and the Nash equilibrium solution, showing its advantages and appealing properties in terms of cost allocation to users and computation time to get the solution. Numerical results demonstrate that the proposed Nash bargaining solution approach permits to allocate costs fairly to users in a reasonable computation time, thus representing a very effective framework for the design of efficient and stable networks.}},
    keywords = {Network Formation, Cooperative Game Theory, Coalition, Nash bargaining solution, Shapley value},
    language = {Anglais},
    affiliation = {MAESTRO - INRIA Sophia Antipolis - INRIA - Universit{\'e} Montpellier II - Sciences et Techniques du Languedoc - Laboratoire d'Informatique PAris DEscartes - LIPADE - Universit{\'e} Paris Descartes - University of Bergamo - University of Bergamo - Saint-Petersburg state university - Saint-Petersburg State University},
    type = {Rapport de recherche},
    institution = {INRIA},
    number = {RR-7480},
    year = {2010},
    month = Dec,
    pdf = {http://hal.inria.fr/inria-00544527/PDF/RR-7480.pdf},
}