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Small World Networks with Segregation Patterns and Brokers

  • Edoardo Gallo
Published/Copyright: September 14, 2012

Abstract

Individuals' cognitive knowledge of their social networks is affected by systematic biases. This paper investigates the role of the mean degree bias, i.e. the tendency to underestimate the number of connections of others, in determining the structure of stable networks. It develops a strategic network formation model where agents have heterogeneous knowledge of the network: cognizant agents know the whole network, while ignorant ones are less knowledgeable and biased. For a broad range of parameters, all cognitively stable (CS) networks are small world networks with segregation patterns and brokers. There are also some CS networks with one hub.


Author Notes: I would like to thank Meg Meyer for her invaluable help and guidance throughout this project. Thanks to Misha Drugov, Aytek Erdil, Andrea Galeotti, Sanjeev Goyal, Daniel Hojman, Rahmi Ilkilic, Matthew Jackson, Paul Klemperer, Philippos Louis, Rocco Macchiavello, Marco Marinucci, Michael McBride, Andrea Patacconi, Dotan Persitz, Paolo Pin, Andrea Prat, Brian Rogers, Peyton Young and two anonymous referees for helpful comments and suggestions. I am also grateful to seminar/conference audiences at the University of Oxford, University of Montpellier, the Summer Meeting of the European Economic Association and the Coalition Theory Network Workshop. Any remaining errors are my own.

Published Online: 2012-9-14

©2012 Walter de Gruyter GmbH & Co. KG, Berlin/Boston

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