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During a pandemic people have to find a trade-off between meeting others and staying safely at home. While meeting others is pleasant, it also increases the risk of infection. We consider this dilemma by introducing a game-theoretic network…

Computer Science and Game Theory · Computer Science 2022-04-26 Tobias Friedrich , Hans Gawendowicz , Pascal Lenzner , Anna Melnichenko

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

Motivated by applications in peer-to-peer and overlay networks we define and study the \emph{Bounded Degree Network Formation} (BDNF) game. In an $(n,k)$-BDNF game, we are given $n$ nodes, a bound $k$ on the out-degree of each node, and a…

Computer Science and Game Theory · Computer Science 2011-11-09 Nikolaos Laoutaris , Rajmohan Rajaraman , Ravi Sundaram , Shang-Hua Teng

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

In \emph{bandwidth allocation games} (BAGs), the strategy of a player consists of various demands on different resources. The player's utility is at most the sum of these demands, provided they are fully satisfied. Every resource has a…

Computer Science and Game Theory · Computer Science 2018-07-10 Maximilian Drees , Matthias Feldotto , Sören Riechers , Alexander Skopalik

Understanding real-world networks has been a core research endeavor throughout the last two decades. Network Creation Games are a promising approach for this from a game-theoretic perspective. In these games, selfish agents corresponding to…

Computer Science and Game Theory · Computer Science 2020-12-14 Davide Bilò , Tobias Friedrich , Pascal Lenzner , Stefanie Lowski , Anna Melnichenko

In this study, we formulate positive and negative externalities caused by changes in the supply of shared vehicles as ride sharing games. The study aims to understand the price of anarchy (PoA) and its improvement via a coordination…

Computer Science and Game Theory · Computer Science 2016-04-05 Tatsuya Iwase , Takahiro Shiga

Celebrity games, a new model of network creation games is introduced. The specific features of this model are that players have different celebrity weights and that a critical distance is taken into consideration. The aim of any player is…

Computer Science and Game Theory · Computer Science 2016-07-22 Carme Àlvarez , Maria Blesa , Amalia Duch , Arnau Messegué , Maria Serna

We study a security game over a network played between a $defender$ and $k$ $attackers$. Every attacker chooses, probabilistically, a node of the network to damage. The defender chooses, probabilistically as well, a connected induced…

Computer Science and Game Theory · Computer Science 2019-06-10 Eleni C. Akrida , Argyrios Deligkas , Themistoklis Melissourgos , Paul G. Spirakis

We study the strategic formation of multi-layer networks, where each layer represents a different type of relationship between the nodes in the network and is designed to maximize some utility that depends on the topology of that layer and…

Computer Science and Game Theory · Computer Science 2015-10-29 Ebrahim Moradi Shahrivar , Shreyas Sundaram

Network creation games investigate complex networks from a game-theoretic point of view. Based on the original model by Fabrikant et al. [PODC'03] many variants have been introduced. However, almost all versions have the drawback that edges…

Computer Science and Game Theory · Computer Science 2017-07-03 Ankit Chauhan , Pascal Lenzner , Anna Melnichenko , Louise Molitor

Network Design problems typically ask for a minimum cost sub-network from a given host network. This classical point-of-view assumes a central authority enforcing the optimum solution. But how should networks be designed to cope with…

Computer Science and Game Theory · Computer Science 2021-04-26 Wilhelm Friedemann , Tobias Friedrich , Hans Gawendowicz , Pascal Lenzner , Anna Melnichenko , Jannik Peters , Daniel Stephan , Michael Vaichenker

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

The Price of Anarchy (PoA) is a well-established game-theoretic concept to shed light on coordination issues arising in open distributed systems. Leaving agents to selfishly optimize comes with the risk of ending up in sub-optimal states…

Computer Science and Game Theory · Computer Science 2019-06-04 Krishnendu Chatterjee , Laura Schmid , Stefan Schmid

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 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

There have been great efforts in studying the cascading behavior in social networks such as the innovation diffusion, etc. Game theoretically, in a social network where individuals choose from two strategies: A (the innovation) and B (the…

Computer Science and Game Theory · Computer Science 2014-07-29 Xilun Chen , Chenxia Wu

In this paper, we consider the Shapley network design game on undirected networks. In this game, we have an edge weighted undirected network $G(V,E)$ and $n$ selfish players where player $i$ wants to choose a path from source vertex $s_i$…

Computer Science and Game Theory · Computer Science 2014-01-27 Jian Li

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 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