Dmitry Berg, Olga Zvereva (Ural Federal University) Identification Of Autopoietic Communication Patterns In Social And Economic Networks AIST Conference 2015 http://aistconf.org

1. IDENTIFICATION OF AUTOPOIETIC
COMMUNICATION PATTERNS IN SOCIAL
AND ECONOMIC NETWORKS
The 4th international conference on Analysis of Images, Social
Networks, and Texts, April, 2015, Ekaterinburg

2. • Communications develop the basis for social and
economic system functioning
• A set of economic agent communications forms a
network
• One of the most important system characteristic is its
ability to reproduce itself (autopoiesis)
• Autopoiesis is realized according to Maturana and
Varella’s theory by cycled communications in the closed
contour.
• We tried to find such contours (closed paths) in
economic and social networks and considered them to
form autopoietic patterns in the networks under
discussion.

3. 1. RESEARCH GOALS
2. MUNICIPAL ECONOMIC NETWORK
1. CONSUMPTION MATRIX
2. NETWORK DIGRAPH, NETWORK INDICES
3. REVEALING OF THE CLOSED PATHS
4. BALANCED CONSUMPTION MATRIX
3. AGENT-BASED MODEL
4. SOCIAL NETWORK
1. NETWORK SOCIOGRAM
2. NETWORK INDICES
5. HYPOTHESES

4. • Niklas Luhmann. Social systems. Sketch of the general theory. St. Petersburg:
Science. 2007. 668p
• Manuel Castells. The Rise of the Network Society, The Information Age:
Economy, Society and Culture, Vol. I. Cambridge, MA; Oxford, UK: Blackwell
(1996) (second edition, 2000), 656 р.
• H.R.Maturana, F.J.Varela Autopoiesis and Cognition: The Realization of the
Living (Boston Studies in the Philosophy of Science, Vol. 42) Boston: D.
Reidel Publishing Company; 1st edition 1980. 171 p
• Leontief V.V. Essays in Economics. Theories, Theorizing, Facts and Policies.
Moscow: Politizdat. 1990. 415p.
• L. da F.Costa, F.A. Rodrigues, G. Travieso, P.R. Villas Boas. Characterization
of Complex Networks: A Survey of Measurements. Advances in Physics, 56:1
(2007), pp. 167-242.
• Tore Opsahl, Filip Agneessens, John Skvoretz. Node centrality in weighted
networks: Generalizing degree and shortest paths. Social Networks 32 (2010),
pp. 245–251.

5. • To observe communications of real economic agents and to receive
a formal matrix representation of these communications
• To explore the results of communications in the social network
• Using SNA methods and instruments to find the autopoietic contours in the
social network
• To prove with the help of agent-based model that the balance (Leontieff’s
equilibrium) exists
• Using SNA methods and instruments to find the autopoietic contours
(closed paths) and make the matrix balanced
• To receive the main network characteristics

6. Enterprise list )
1. agricultural farm (cereal and industrial crops cultivating);
2. meat and dairy farm (meat and dairy production);
3. poultry farm (poultry breeding and egg production);
4. meat processing plant (production of semi-finished goods from meat and
poultry);
5. dairy plant (production of dairy goods);
6. bakery (bakery product manufacturing);
7. flour mill (flour production);
8. feed mill (feed production);
9. furniture factory (home and office furniture production);
10. autoservice workshop (car maintenance and repair);
11. trucking company (shipping operations).

7. INITIAL CONSUMPTION (PAYMENT) MATRIX
OF MUNICIPAL ECONOMIC AGENTS
Product volumes
Agen
t 1 2 3 4 5 6 7 8 9 10 11 12
1 0 0 0 0 0 0 496000 1340680 0 0 0 0
2 405 0 0 53993 590322 0 0 0 0 0 0 0
3 0 0 0 79100 0 0 0 0 0 0 0 8227
4 0 0 0 0 0 0 0 0 0 0 0 10946
0
5 0 0 0 0 0 0 0 0 0 0 0 79389
6 0 0 0 0 0 0 0 0 0 0 0 28775
7 0 0 0 0 0 4081 0 0 0 0 0 0
8 0 8726 419318 0 0 0 0 0 0 0 0 0
9 0 0 0 0 0 0 0 0 0 0 0 2352
10 0 0 0 0 0 0 0 0 0 0 33 9000
11 0 0 0 0 0 0 0 0 0 0 0 16280
12 14000 17000 40450 59000 170300 48000 16000 30000 19200 7000 7730 0

8. )

9. № Contour Circularity Link Weights Autopoiesis
1 1→8→2→1 yes 1340680+419318+405 yes
2 1→7→6→12→1 yes 496000+4081+27514+
14000
yes
3 1→8→3→12→1 yes 1340680+419318+8227+
14000
yes
4 2→4→12→2 yes 53993+109460+17000 yes
5 2→5→12→2 yes 590322+79389+17000 yes
6 3→12→8→3 yes 8227+30000+419318 yes
7 4→12→3→4 yes 109460+40450+79100 yes
8 6→12→7→6 yes 27514+16000+4081 yes
9 11→12→10→11 yes 16280+7000+33 yes
10 12→1→8←12 no 14000+1340680+30000 no
11 12→2→1←12 no 17000+405+14000 no
12 8→2→4→12→3←8 no 8726+53993+109460+40450+
419318
no

10. • Population (12) is the central node (a star) in the
network which integrates separate autopoietic contours
in one autopoietic pattern
• This node has the maximum centrality values in the
network:
– Centrality in-degree is 0,636
– Centrality out-degree is 1,0 (connected with all other
agents).
– The value of Freeman’s betweeness centrality is
equal to 88,833 (more than 88% of the shortest paths
from one agent to another in this network includes
the 12th agent).

11. Balanced Consumption Matrix of
Municipal Economic Network
Product consumption
Age
nt 1 2 3 4 5 6 7 8 9 10 11 12
1 0 0 0 0 0 0 1841 10644 0 0 0 0
2 16 0 0 2154 23555 0 0 0 0 0 0 0
3 0 0 0 61452 0 0 0 0 0 0 0 8227
4 0 0 0 0 0 0 0 0 0 0 0 109460
5 0 0 0 0 0 0 0 0 0 0 0 79389
6 0 0 0 0 0 0 0 0 0 0 0 28775
7 0 0 0 0 0 2255 0 0 0 0 0 0
8 0 8725 63558 0 0 0 0 0 0 0 0 0
9 0 0 0 0 0 0 0 0 0 0 0 2352
10 0 0 0 0 0 0 0 0 0 0 26 6974
11 0 0 0 0 0 0 0 0 0 0 0 7756
12 12469 17000 6131 45844 55834 26520 414 61639 2352 7000 7730 0

14. № Contour Circularity Weights (marks) Autopoies
is
1 3→11→4→5→3 yes 10+3+4+2=19 yes
2 3→11→6→5→3 yes 10+3+5+3=21 yes
3 3→11→7→5→3 yes 10+4+41+3=57 yes
4 3→11→12→5→3 yes 10+4+75+3=92 yes
5 3→11→4→9→3 yes 10+3+4-5 no
6 3→11→6→9→3 yes 10+3+5-5 no
7 3→11→7→9→3 yes 10+3+50-5 no
8 3→11→12→9→3 yes 10+3+58-5 no
9 3←4→5→3 no 4+4+2=10 no
10 3←6→7→9→3 no 5+5+50+9=19 no
11 3←7→11→4→3 no 9+16+3+4=32 no

15. • This network is not highly centralized (the
Network Centralization Index is only 6,83% in
comparison to 77,19% in the economic
network).
• As considered to the agents who integrate these
contours in one pattern, they are the 9th and
11th ones. As was estimated with the help of
UCINET 6.0 the 9th and 11th agents have the
maximum values of Freeman’s centrality
betweeness (11,943 and 10,167 respectively) in
this network.

16. • There are autopoietic patterns in economic and social networks
• Every pattern is a set of closed circular contours with some corporate elements
(nodes/agents). As usual, these “corporate” agents have high values of centrality
measures.
• Consumption matrix of an autopoietic pattern is the balanced one and reproduction
in this case can be described with the help of Leontief’s intersectoral equilibrium.
• Two technologies are rather useful for social and economic system analysis: SNA for
structural properties revealing and agent-based – for dynamic characteristics
determining