Dynamic Extensions of Network Brokerage Models Emma S. Spiro Ryan - - PowerPoint PPT Presentation
References Dynamic Extensions of Network Brokerage Models Emma S. Spiro Ryan M. Acton Carter T. Butts* Department of Sociology *Institute for Mathematical Behavioral Sciences University of California - Irvine MURI AHM - August 25th, 2009
References
Emma S. Spiro Ryan M. Acton Carter T. Butts*
Department of Sociology *Institute for Mathematical Behavioral Sciences University of California - Irvine
MURI AHM - August 25th, 2009
Department of Sociology, University of California, Irvine August 25, 2009
References
brokerage analyses?
Department of Sociology, University of California, Irvine August 25, 2009
References
dynamic network measures on large datasets?
for network data over time, can we extend traditional network measures to the dynamic environment in a logical way? Will dynamic extensions be feasible for large datasets?
measures more accurately predict actors’ states or importance?
Department of Sociology, University of California, Irvine August 25, 2009
References
dynamic network measures on large datasets?
for network data over time, can we extend traditional network measures to the dynamic environment in a logical way? Will dynamic extensions be feasible for large datasets?
measures more accurately predict actors’ states or importance?
the observation of networks over time.
Department of Sociology, University of California, Irvine August 25, 2009
References
lack a direct connection (Gould and Fernandez, 1989).
and influence because they could charge commission for services, restrict information flow, exclude certain actors from activities, etc.
Department of Sociology, University of California, Irvine August 25, 2009
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Figure: Simplified Example of Brokerage
Department of Sociology, University of California, Irvine August 25, 2009
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Katrina.
pairs.
landfall in Louisiana.
network, and an aggregate combined network.
non-isolate components, and a mean degree of about 1.
Department of Sociology, University of California, Irvine August 25, 2009
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Non−isolate vertex
Department of Sociology, University of California, Irvine August 25, 2009
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collaboration network.
in the Katrina response?
brokers in the Katrina response?
Department of Sociology, University of California, Irvine August 25, 2009
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existence in the aggregate and individual snapshots.
a dynamics process that unfolds on the changing network.
insight into the process of brokerage.
Department of Sociology, University of California, Irvine August 25, 2009
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Figure: Example of What We Might See in the Aggregate Case
Department of Sociology, University of California, Irvine August 25, 2009
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time 1 b a c time 2 b a c
time t b a c
Figure: Simplified Example of Dynamic Brokerage
Department of Sociology, University of California, Irvine August 25, 2009
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This is one.
information.
know the state of the network at that time. In other words, news is not generated at the time of debut.
connection and a two path.
may not be passed about third parties since this information is specialized.
their current state of tacit knowledge about themselves and their immediate collaborators.
Department of Sociology, University of California, Irvine August 25, 2009
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b1 a1 c1
b2 , a2 a2 , b2 c2
b3 , a2 a3 , b2 , c3 c3 , a3 , b2
b4 , a3 , c4 a4 , b2 , c3 c4 , a3 , b4
Department of Sociology, University of California, Irvine August 25, 2009
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traditional network measure for brokerage.
difference in timestamps of old versus new information.
Department of Sociology, University of California, Irvine August 25, 2009
References
existence followed by triadic closure.
being a broker in the dynamic case.
with some organizations who are identified as brokers in the aggregate but not in the dynamic case.
information flow within a large, dynamically evolving network.
Department of Sociology, University of California, Irvine August 25, 2009
References
2 4 6 8 10 12 5000 10000 15000 20000
Day Brokerage
Traditional Measure
Department of Sociology, University of California, Irvine August 25, 2009
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Federal State Local NGO International Unknown GovNA
Department of Sociology, University of California, Irvine August 25, 2009
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additional insight into the process of brokerage.
phenomena, they miss important parts, namely sequential two-path existence.
in a dynamic context and the dynamics are important to the phenomena under consideration.
measures to emphasize the temporal nature of the network itself.
Department of Sociology, University of California, Irvine August 25, 2009
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exact timing information.
scores.
Department of Sociology, University of California, Irvine August 25, 2009
References
Gould, Roger V. and Roberto M. Fernandez. 1989. “Structures of Mediation: A Formal Approach to Brokerage in Transaction Networks.” Sociological Methodology 19. Kossinets, Gueorgi, Jon Kleinberg, and Duncan Watts. 2008. “The Structure of Information Pathways in a Social Communication Network.” Lamport, Leslie. 1978. “Time, clocks, and the ordering of events in a distributed system.” Communications of the ACM 21:558–565.
Department of Sociology, University of California, Irvine August 25, 2009