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Matlab Simulations of centrality games in Social Networks



Nicolò Pagan


Social and economic networks permeate our lives. Lots of attention has been devoted to the analysis of the common macroscopic features of real world social network, e.g. the "small world phenomenon". Our interest relies on the microscopic strategic interactions which govern social and economic networks. We believe that modeling these interactions can ultimately provide an insight on the macroscopic features of real world social networks.

In our model, individuals are endowed with a (homogeneous) payoff function: benefit is mainly given by the centrality of the individual, whereas the cost is due to the ties he/she wants to establish/maintain. In society, individuals aim to use their (costly) ties in order to maximize their score in some centrality measure.

We consider different game theoretic approaches and scenarios, and we study conditions on the Nash equilibria of the game and eventually their region of attraction.

Project Description

In this project we are looking for a motivated and independent student who has both analytical and computational skills. He/she will be primarily asked to setup a Matlab tool in order to provide numerical evidence to the analytical results obtained so far. In order to do this, basic programming skills are required, more advanced ones are obviously beneficial. The candidate should also be familiar with network theory and have some basics in game theory and optimization. In case the candidate is interested, we can consider the possibility to further investigate the analytical results already obtained.

For more information, please contact Nicolò Pagan (

Weitere Informationen

Florian Dörfler

Art der Arbeit: 60% Simulation, 40% Theory
  • MATLAB programming
  • Game theory
  • Basic optimization
  • Network theory
Anzahl StudentInnen: 1
Status: open
Projektstart: Summer 2017, Fall Semester 2017
Semester: Summer 2017, Fall Semester 2017