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Network Creation Games(NCGs) model the creation of decentralized communication networks like the Internet. In such games strategic agents corresponding to network nodes selfishly decide with whom to connect to optimize some objective…

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

In the swap game (SG) selfish players, each of which is associated to a vertex, form a graph by edge swaps, i.e., a player changes its strategy by simultaneously removing an adjacent edge and forming a new edge (Alon et al., 2013). The cost…

Artificial Intelligence · Computer Science 2019-11-13 Shotaro Yoshimura , Yukiko Yamauchi

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

We study network formation with n players and link cost \alpha > 0. After the network is built, an adversary randomly deletes one link according to a certain probability distribution. Cost for player v incorporates the expected number of…

Computer Science and Game Theory · Computer Science 2012-02-23 Lasse Kliemann

We study network formation with the bilateral link formation rule (Jackson and Wolinsky 1996) with $n$ players and link cost $\alpha>0$. After the network is built, an adversary randomly destroys one link according to a certain probability…

Computer Science and Game Theory · Computer Science 2013-08-09 Lasse Kliemann

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

Dynamic networks are graphs in which edges are available only at specific time instants, modeling connections that change over time. The dynamic network creation game studies this setting as a strategic interaction where each vertex…

Data Structures and Algorithms · Computer Science 2026-03-17 Binh-Minh Bui-Xuan , Nhat-Minh Nguyen , Sébastien Tixeuil , Yukiko Yamauchi

Motivated by applications in social networks, peer-to-peer and overlay networks, we define and study the Bounded Budget Connection (BBC) game - we have a collection of n players or nodes each of whom has a budget for purchasing links; each…

Computer Science and Game Theory · Computer Science 2008-06-11 Nikolaos Laoutaris , Laura J. Poplawski , Rajmohan Rajaraman , Ravi Sundaram , Shang-Hua Teng

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

We investigate a non-cooperative game-theoretic model for the formation of communication networks by selfish agents. Each agent aims for a central position at minimum cost for creating edges. In particular, the general model (Fabrikant et…

Computer Science and Game Theory · Computer Science 2015-06-09 Andreas Cord-Landwehr , Pascal Lenzner

Many distributed systems can be modeled as network games: a collection of selfish players that communicate in order to maximize their individual utilities. The performance of such games can be evaluated through the costs of the system…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-18 Petr Kuznetsov , Stefan Schmid

We analyze the network congestion game with atomic players, asymmetric strategies, and the maximum latency among all players as social cost. This important social cost function is much less understood than the average latency. We show that…

Computer Science and Game Theory · Computer Science 2012-10-02 Xujin Chen , Benjamin Doerr , Xiaodong Hu , Weidong Ma , Rob van Stee , Carola Winzen

We propose a new class of game-theoretic models for network formation in which strategies are not directly related to edge choices, but instead correspond more generally to the exertion of social effort. The observed social network is thus…

Computer Science and Game Theory · Computer Science 2010-09-23 Christian Borgs , Jennifer Chayes , Jian Ding , Brendan Lucier

We consider clustering games in which the players are embedded in a network and want to coordinate (or anti-coordinate) their strategy with their neighbors. The goal of a player is to choose a strategy that maximizes her utility given the…

Computer Science and Game Theory · Computer Science 2020-11-20 Pieter Kleer , Guido Schäfer

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 investigate several variants of a network creation model: a group of agents builds up a network between them while trying to keep the costs of this network small. The cost function consists of two addends, namely (i) a constant amount…

Networking and Internet Architecture · Computer Science 2007-05-23 Johannes J. Schneider , Scott Kirkpatrick

We consider network contribution games, where each agent in a social network has a budget of effort that he can contribute to different collaborative projects or relationships. Depending on the contribution of the involved agents a…

Computer Science and Game Theory · Computer Science 2012-04-27 Elliot Anshelevich , Martin Hoefer

Network Creation Games are an important framework for understanding the formation of real-world networks. These games usually assume a set of indistinguishable agents strategically buying edges at a uniform price leading to a network among…

Computer Science and Game Theory · Computer Science 2022-05-02 Martin Bullinger , 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

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