Small world networks with segregation patterns and brokers.

Many social networks have the following properties: (i) a short average distance between any two individuals; (ii) a high clustering coefficient; (iii) segregation patterns; the presence of (iv) brokers and (v) hubs. (i) and (ii) define a small world network. This paper develops a strategic network...

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Main Author: Gallo, E
Format: Working paper
Language:English
Published: Fondazione Eni Enrico Mattei 2009
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author Gallo, E
author_facet Gallo, E
author_sort Gallo, E
collection OXFORD
description Many social networks have the following properties: (i) a short average distance between any two individuals; (ii) a high clustering coefficient; (iii) segregation patterns; the presence of (iv) brokers and (v) hubs. (i) and (ii) define a small world network. This paper 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. For a broad range of parameters, all pairwise Nash (PN) networks have properties (i)-(iv). There are some PN networks with one hub. Cognizant agents have higher betweenness centrality: they are the brokers who connect different parts of the network. Ignorant agents cause the emergence of segregation patterns. The results are robust to varying the number of cognizant agents and to increasing the knowledge level of ignorant ones. An application shows the relevance of the results to assessing the welfare impact of an increase in network knowledge due to, e.g., improved access to social networking tools.
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spelling oxford-uuid:be660f41-628f-4f87-b4fa-69ed2f4701ec2022-03-27T05:39:04ZSmall world networks with segregation patterns and brokers.Working paperhttp://purl.org/coar/resource_type/c_8042uuid:be660f41-628f-4f87-b4fa-69ed2f4701ecEnglishDepartment of Economics - ePrintsFondazione Eni Enrico Mattei2009Gallo, EMany social networks have the following properties: (i) a short average distance between any two individuals; (ii) a high clustering coefficient; (iii) segregation patterns; the presence of (iv) brokers and (v) hubs. (i) and (ii) define a small world network. This paper 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. For a broad range of parameters, all pairwise Nash (PN) networks have properties (i)-(iv). There are some PN networks with one hub. Cognizant agents have higher betweenness centrality: they are the brokers who connect different parts of the network. Ignorant agents cause the emergence of segregation patterns. The results are robust to varying the number of cognizant agents and to increasing the knowledge level of ignorant ones. An application shows the relevance of the results to assessing the welfare impact of an increase in network knowledge due to, e.g., improved access to social networking tools.
spellingShingle Gallo, E
Small world networks with segregation patterns and brokers.
title Small world networks with segregation patterns and brokers.
title_full Small world networks with segregation patterns and brokers.
title_fullStr Small world networks with segregation patterns and brokers.
title_full_unstemmed Small world networks with segregation patterns and brokers.
title_short Small world networks with segregation patterns and brokers.
title_sort small world networks with segregation patterns and brokers
work_keys_str_mv AT galloe smallworldnetworkswithsegregationpatternsandbrokers