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We introduce a simple network model that is inspired by social information networks such as twitter. Agents are nodes, connecting to another agent by building a directed edge has a cost, and reaching other agents via short directed paths…

Computer Science and Game Theory · Computer Science 2017-05-10 L. Elisa Celis , Aida S. Mousavifar

What networks can form and persist when agents are self-interested? Can such networks be efficient? A substantial theoretical literature predicts that the only networks that can form and persist must have very special shapes and that such…

Computer Science and Game Theory · Computer Science 2015-09-03 Yangbo Song , Mihaela van der Schaar

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

We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The…

Probability · Mathematics 2007-05-23 Brian Skyrms , Robin Pemantle

In this paper, we introduce a conceptual framework that model human social networks as an undirected dot-product graph of independent individuals. Their relationships are only determined by a cost-benefit analysis, i.e. by maximizing an…

Probability · Mathematics 2024-11-26 Aldric Labarthe , Yann Kerzreho

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

Social and Information Networks · Computer Science 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

Many societies are organized in networks that are formed by people who meet and interact over time. In this paper, we present a first model to capture the micro-foundations of social networks evolution, where boundedly rational agents of…

Social and Information Networks · Computer Science 2015-08-17 Ahmed M. Alaa , Kartik Ahuja , Mihaela van der Schaar

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

Many real-world networks such as social networks consist of strategic agents. The topology of these networks often plays a crucial role in determining the ease and speed with which certain information driven tasks can be accomplished.…

Social and Information Networks · Computer Science 2017-07-03 Swapnil Dhamal , Y. Narahari

We study strategic network formation games in which agents attempt to form (costly) links in order to maximize their network centrality. Our model derives from Jackson and Wolinsky's symmetric connection model, but allows for heterogeneity…

Computer Science and Game Theory · Computer Science 2020-11-30 Gabriel Istrate , Cosmin Bonchiş

In this work we present a strategic network formation model predicting the emergence of multigroup structures. Individuals decide to form or remove links based on the benefits and costs those connections carry; we focus on bilateral consent…

Social and Information Networks · Computer Science 2020-01-30 Shadi Mohagheghi , Jingying Ma , Francesco Bullo

We model a system of networking agents that seek to optimize their centrality in the network while keeping their cost, the number of connections they are participating in, low. Unlike other game-theory based models for network evolution,…

Populations and Evolution · Quantitative Biology 2007-05-23 Petter Holme , Gourab Ghoshal

We propose a family of models to study the evolution of ties in a network of interacting agents by reinforcement and penalization of their connections according to certain local laws of interaction. The family of stochastic dynamical…

Physics and Society · Physics 2016-06-01 Augusto Almeida Santos , Soummya Kar , Ramayya Krishnan , José M. F. Moura

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

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

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

Strategic network formation arises where agents receive benefit from connections to other agents, but also incur costs for forming links. We consider a new network formation game that incorporates an adversarial attack, as well as…

Computer Science and Game Theory · Computer Science 2016-11-10 Sanjeev Goyal , Shahin Jabbari , Michael Kearns , Sanjeev Khanna , Jamie Morgenstern

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

Communities are an important feature of social networks. The goal of this paper is to propose a mathematical model to study the community structure in social networks. For this, we consider a particular case of a social network, namely…

Social and Information Networks · Computer Science 2020-04-14 Peter Marbach

The seceder model illustrates how the desire to be different than the average can lead to formation of groups in a population. We turn the original, agent based, seceder model into a model of network evolution. We find that the structural…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andreas Gronlund , Petter Holme
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