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Related papers: Network Creation Games with 2-Neighborhood Maximiz…

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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

The Bonacich centrality is a well-known measure of the relative importance of nodes in a network. This notion is, for example, at the core of Google's PageRank algorithm. In this paper we study a network formation game where each player…

Social and Information Networks · Computer Science 2020-05-07 Maria Castaldo , Costanza Catalano , Giacomo Como , Fabio Fagnani

We study a network formation game where $n$ players, identified with the nodes of a directed graph to be formed, choose where to wire their outgoing links in order to maximize their PageRank centrality. Specifically, the action of every…

Social and Information Networks · Computer Science 2023-09-12 Costanza Catalano , Maria Castaldo , Giacomo Como , Fabio Fagnani

We introduce and analyze greedy equilibria (GE) for the well-known model of selfish network creation by Fabrikant et al.[PODC'03]. GE are interesting for two reasons: (1) they model outcomes found by agents which prefer smooth adaptations…

Computer Science and Game Theory · Computer Science 2012-10-31 Pascal Lenzner

Today we rely on networks that are created and maintained by smart devices. For such networks, there is no governing central authority but instead the network structure is shaped by the decisions of selfish intelligent agents. A key…

Computer Science and Game Theory · Computer Science 2025-01-20 Julian Berger , Tobias Friedrich , Pascal Lenzner , Paraskevi Machaira , Janosch Ruff

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

We study a network formation game where agents receive benefits by forming connections to other agents but also incur both direct and indirect costs from the formed connections. Specifically, once the agents have purchased their…

Computer Science and Game Theory · Computer Science 2019-06-04 Yu Chen , Shahin Jabbari , Michael Kearns , Sanjeev Khanna , Jamie Morgenstern

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

Robustness is one of the key properties of nowadays networks. However, robustness cannot be simply enforced by design or regulation since many important networks, most prominently the Internet, are not created and controlled by a central…

Computer Science and Game Theory · Computer Science 2016-07-08 Ankit Chauhan , Pascal Lenzner , Anna Melnichenko , Martin Münn

In this paper, we study a network formation game in which agents seek to maximize their influence by allocating constrained resources to choose connections with other agents. In particular, we use Katz centrality to model agents' influence…

Computer Science and Game Theory · Computer Science 2026-04-06 Balaji R , Prashil Wankhede , Pavankumar Tallapragada

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

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

Today's networks consist of many autonomous entities that follow their own objectives, i.e., smart devices or parts of large AI systems, that are interconnected. Given the size and complexity of most communication networks, each entity…

Computer Science and Game Theory · Computer Science 2026-02-02 Pascal Lenzner , Paraskevi Machaira

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 study network connection games where the nodes of a network perform edge swaps in order to improve their communication costs. For the model proposed by Alon et al. (2010), in which the selfish cost of a node is the sum of all shortest…

Computer Science and Game Theory · Computer Science 2013-06-10 S. Nikoletseas , P. Panagopoulou , C. Raptopoulos , P. G. Spirakis

In network formation games, agents form edges with each other to maximize their utility. Each agent's utility depends on its private beliefs and its edges in the network. Strategic agents can misrepresent their beliefs to get a better…

Optimization and Control · Mathematics 2024-09-04 Akhil Jalan , Deepayan Chakrabarti

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

Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using…

Computer Science and Game Theory · Computer Science 2022-07-05 Aline Goeminne , Nicolas Markey , Ocan Sankur

We live in a world full of networks where our economy, our communication, and even our social life crucially depends on them. These networks typically emerge from the interaction of many entities, which is why researchers study agent-based…

Computer Science and Game Theory · Computer Science 2024-11-07 Davide Bilò , Sarel Cohen , Tobias Friedrich , Hans Gawendowicz , Nicolas Klodt , Pascal Lenzner , George Skretas

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

Computer Science and Game Theory · Computer Science 2013-04-09 Sunil Simon , Krzysztof R. Apt