network dynamics in social and economical systems
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Network Dynamics in Social and Economical Systems
Cesar A. Hidalgo R.1
Carlos Rodriguez-Sickert2, A.-L. Barabasi1
1 CCNRUniversity of Notre Dame, Notre Dame, IN
2 Dept. of SociologyPontificia Universidad Catolica de Chile Ann Arbor April 2007
Core-Periphery structure
The Stability of core and peripheral networks over time. David L. Morgan,Margaret B. Neal and Paula Carder, Social Networks 19 (1996) 9-25
234 widows, 1 year, 7 panels
Core = Kin
The Stability of core and peripheral networks over time. David L. Morgan,Margaret B. Neal and Paula Carder, Social Networks 19 (1996) 9-25
Another More Recent Support study
Relational Instability at the Network Core: Support Dynamics in developmentalnetworks. Jonathon N. Cummings, Monica C. Higgins, Social
Networks 28 (2006) 38-55
They analyzed 77 MBA graduates for 3 time periods and add relational content. The generating question was to name
people that have taken an active interest and concerted action in the advancement of their careers.
The conclusion is that the ties that granted psychosocial support compromised the inner core.
Yet Another Study• 42 Women Re-entering college. • Main Conclusion is that people for work support
becomes more educated as this women get educated.
Once a friend, always a friend? Effects of homophily on women’s supportnetworks accross a decade. Jill Suitor, Shirley Keeton, Social Networks
19 (1997) 51-62
Status Transition
Decay Functions
[1] Decay Functions. Ronald S.Burt, Social Networks 22 (2000) 1-28.
Bridge Decay
Bridge Decay. Ronald S. Burt, Social Networks 24 (2002) 333-363
The Persistence of Social Ties
Where? Western Country (Penetration >100%)
Share of the Market ~ 25%
Nodes = 1.950.426Edges = 7.948.890 (Voice Calls)
April 16 to April 30 2004 yes
May 1 to May 15 2004 no
May 16 to May 31 2004 yes
June 1 to June 15 2004 no
June 16 to June 30 2004 yes
July 1 to July 15 2004 no
July 16 to July 31 2004 yes
August 1 to August 15 2004 yes
August 16 to August 31 2004 no
September 1 to September 15 2004 no
September 16 to September 30 2004 yes
October 1 to October 15 2004 yes
October 16 to October 31 2004 no
November 1 to November 15 2004 no
November 16 to November 30 2004 no
December 1 to December 15 2004 no
December 16 to December 31 2004 no
January 1 to January 15 2005 yes
January 16 to January 31 2005 no
February 1 to February 15 2005 no
February 16 to February 28 2005 yes
March 1 to March 15 2005 no
March 15 to March 31 2005 yes
Mobile Phone Network
Persistence
Perseverance
Core-Periphery Structure Power-Law Decay
Pij, i and k
Pij, i and C
Pij and <reciprocity>
Pij, i, Gender and Age
Gender And Age
F
M
F M
1-M/F
= 0.0598 C – 0.0122 k + 0.3626 r + 0.0015 Age +0.0009 Gender +0.2506
Linear Regression
Multivariate Analysis (Node Level)
Correlations and Partial Correlations
P = 0.09C + 0.002k + 0.15r – 0.03 Gender -0.002Age + 0.35 R + 0.56TO +0.16
Linear Regression
Multivariate Analysis (Tie Level)
Correlations and Partial Correlations
Conserved Not Conserved
Conserved A B
Not Conserved
C D
Reality
Tes
t
Prediction Accuracy = A/(A+B)Sensitivity=A/(A+C)
Conclusions
• Quantitative Sociology can be performed using mobile phone billing data.
• As an example we studied the persistence of ties and showed that is strongly coupled to the topology of the network.
• This coupling is strong enough to make relatively accurate predictions about the existence of ties in the future.
The Product Space and its Consequences for Economic
Growth
Cesar A. Hidalgo R.1
Bailey Klinger2, A.-L. Barabasi1, R. Haussman2
1CCNR, Dept of Physics, University of Notre Dame2CID, Kennedy School of Government, Harvard University
Area of countries proportional to ppp (GDP per Capita). Source: worldmapper.org
Share of the ith product on the basket of country c at time t
Share of the ith product on the basket of the world at time t
ij=P(RCAi|RCAj)ij=P(RCAi|RCAj)
ij = min{P(RCAi|RCAj),P(RCAj|RCAi)}
B. Balassa, The Review of Economics and Statistics 68, 315 (1986).B. Balassa, The Review of Economics and Statistics 68, 315 (1986).
Feenstra’s Trade Flows(1)
(1) Feenstra, R. R. Lipsey, H. Deng, A. Ma and H. Mo. 2005. “World Trade Flows: 1962-2000”NBER working paper 11040. National Bureau of Economic Research, Cambridge MA.
sitc-4 import and export data.
Threshold = 0.55
Number of Links = 1525
MALAYSIA
Malaysia 1975
Malaysia 1980
Malaysia 1985
Malaysia 1990
Malaysia 1995
Malaysia 2000
Density
j = Fraction of the product space
that seems to be developed fromthe jth product perspective
TN
TH N
Tk
kj
T
k
kj
j
1
1
Discovery Factor
Hj = Increase in density betweentransition product and undeveloped
products.
Discovery Factor
Density
P(transition | closest developed product is at proximity )
Denotes where region has RCA
KEY
ConclusionWe showed:
• Product space is heterogeneous• Constrains the development of RCA• Rich and poor countries are located in
distinct places of it
• Development Strategies should be different for rich and poor countries
• The structure of the space preventseconomical convergence
Acknowledgments
• A.-L. Barabasi
• B. Klinger
• R. Hausmann
• C. Rodriguez-Sickert
• Kellogg Institute
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