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We study Nash equilibria in the network creation game of Fabrikant et al.[10]. In this game a vertex can buy an edge to another vertex for a cost of $\alpha$, and the objective of each vertex is to minimize the sum of the costs of the edges…

Computer Science and Game Theory · Computer Science 2021-06-10 Jack Dippel , Adrian Vetta

We study Nash equilibria and the price of anarchy in the classical model of Network Creation Games introduced by Fabrikant et al. In this model every agent (node) buys links at a prefixed price $\alpha>0$ in order to get connected to the…

Computer Science and Game Theory · Computer Science 2017-07-25 Carme Àlvarez , Arnau Messegué

Selfish Network Creation focuses on modeling real world networks from a game-theoretic point of view. One of the classic models by Fabrikant et al. [PODC'03] is the network creation game, where agents correspond to nodes in a network which…

Computer Science and Game Theory · Computer Science 2018-01-08 Davide Bilò , Pascal Lenzner

We consider a network creation game in which each player (vertex) has a fixed budget to establish links to other players. In our model, each link has unit price and each agent tries to minimize its cost, which is either its local diameter…

Computer Science and Game Theory · Computer Science 2015-04-21 Shayan Ehsani , Saber Shokat Fadaee , MohammadAmin Fazli , Abbas Mehrabian , Sina Sadeghian Sadeghabad , MohammadAli Safari , Morteza Saghafian

Network creation games are well-established for investigating the decentralized formation of communication networks, like the Internet or social networks. In these games, selfish agents that correspond to network nodes strategically create…

Computer Science and Game Theory · Computer Science 2025-02-11 Merlin de la Haye , Pascal Lenzner , Daniel Schmand , Nicole Schröder

Network creation games model the creation and usage costs of networks formed by n selfish nodes. Each node v can buy a set of edges, each for a fixed price \alpha > 0. Its goal is to minimize its private costs, i.e., the sum (SUM-game,…

Computer Science and Game Theory · Computer Science 2014-09-19 Andreas Cord-Landwehr , Alexander Mäcker , Friedhelm Meyer auf der Heide

In the network creation game with n vertices, every vertex (a player) buys a set of adjacent edges, each at a fixed amount {\alpha} > 0. It has been conjectured that for {\alpha} >= n, every Nash equilibrium is a tree, and has been…

Computer Science and Game Theory · Computer Science 2013-10-31 Akaki Mamageishvili , Matus Mihalak , Dominik Muller

The Internet has emerged as perhaps the most important network in modern computing, but rather miraculously, it was created through the individual actions of a multitude of agents rather than by a central planning authority. This motivates…

Combinatorics · Mathematics 2013-07-12 Ronald Graham , Linus Hamilton , Ariel Levavi , Po-Shen Loh

We introduce a network design game where the objective of the players is to design the interconnections between the nodes of two different networks $G_1$ and $G_2$ in order to maximize certain local utility functions. In this setting, each…

Computer Science and Game Theory · Computer Science 2016-12-22 Ebrahim Moradi Shahrivar , Shreyas Sundaram

We study Nash equilibria and the price of anarchy in the classic model of Network Creation Games introduced by Fabrikant, Luthra, Maneva, Papadimitriou and Shenker in 2003. This is a selfish network creation model where players correspond…

Computer Science and Game Theory · Computer Science 2019-09-24 Carme Àlvarez , Arnau Messegué

A network creation game simulates a decentralized and non-cooperative building of a communication network. Informally, there are $n$ players sitting on the network nodes, which attempt to establish a reciprocal communication by activating,…

Computer Science and Game Theory · Computer Science 2011-12-20 Davide Bilò , Luciano Gualà , Guido Proietti

In this paper we extend a popular non-cooperative network creation game (NCG) to allow for disconnected equilibrium networks. There are n players, each is a vertex in a graph, and a strategy is a subset of players to build edges to. For…

Computer Science and Game Theory · Computer Science 2008-10-28 Ulrik Brandes , Martin Hoefer , Bobo Nick

In this paper we study a generalization of the classic \emph{network creation game} in the scenario in which the $n$ players sit on a given arbitrary \emph{host graph}, which constrains the set of edges a player can activate at a cost of…

Computer Science and Game Theory · Computer Science 2014-07-03 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

We study strong equilibria in network creation games. These form a classical and well-studied class of games where a set of players form a network by buying edges to their neighbors at a cost of a fixed parameter $\alpha$. The cost of a…

Computer Science and Game Theory · Computer Science 2018-10-22 Tomasz Janus , Bart de Keijzer

In general, the games are played on a host graph, where each node is a selfish independent agent (player) and each edge has a fixed link creation cost \alpha. Together the agents create a network (a subgraph of the host graph) while…

Computer Science and Game Theory · Computer Science 2009-02-10 Erik D. Demaine , Mohammadtaghi Hajiaghayi , Hamid Mahini , Morteza Zadimoghaddam

Network creation games have been extensively studied, both from economists and computer scientists, due to their versatility in modeling individual-based community formation processes, which in turn are the theoretical counterpart of…

Computer Science and Game Theory · Computer Science 2016-07-25 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

Network Creation Games are a well-known approach for explaining and analyzing the structure, quality and dynamics of real-world networks like the Internet and other infrastructure networks which evolved via the interaction of selfish agents…

Computer Science and Game Theory · Computer Science 2020-06-29 Davide Bilò , Tobias Friedrich , Pascal Lenzner , Anna Melnichenko

In Social Networks, it is often interesting to study type of networks formed, its efficiency with respect to social objective and which networks are stable. Many work have already been there in this area. Players in network formation game…

Computer Science and Game Theory · Computer Science 2016-04-14 Dinesh Govindaraj

We consider the dynamic behavior of several variants of the Network Creation Game, introduced by Fabrikant et al. [PODC'03]. Equilibrium networks in these models have desirable properties like low social cost and small diameter, which makes…

Computer Science and Game Theory · Computer Science 2013-05-29 Bernd Kawald , Pascal Lenzner

Designing an optimal network topology while balancing multiple, possibly conflicting objectives like cost, performance, and resiliency to viruses is a challenging endeavor, let alone in the case of decentralized network formation. We…

Computer Science and Game Theory · Computer Science 2017-10-03 Stojan Trajanovski , Fernando A. Kuipers , Yezekael Hayel , Eitan Altman , Piet Van Mieghem
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