Social Balance Theory



mutation from +1 or 1 to 0 is very small since it is almost impossible you forget someone
that you have known previously in your group. With the presence of mutation or the
change of sentiment relation sign, we obtain the new balance index every mutation. The
new value of adjacency matrix’s component (
Rij = Rji) that gives higher balance index will
be adopted and mutation will re-implement from this new relation pattern, until it
reaches configuration that will not change (balance configuration), while every mutation
resulting lower global balance index will not be adopted.

3.2 Simulations & Discussions

We do several simulations based on the model above. In the first simulation, we
use the model described above with 8 agents (
N=8) and randomize an adjacency matrix
(
8 x 8) as initial state. After 350 iterations, we found out that the group has been in its
balance state; the index balance is higher now, from 0.0714 to 1. The interpersonal
relations are not changed any more since they have gained maximum balance index.

Table 6

The change of edges string (dyadic relation) after 350 iterations

1 ÷ 2

0

÷

1

1 ÷ 3

1

÷

1

1 ÷ 4

1

÷

-1

1 ÷ 5

1

÷

1

1 ÷ 6

-1

÷

1

1 ÷ 7

1

÷

1

1 ÷ 8

0

÷

-1

2 ÷ 3

1

÷

1

2 ÷ 4

-1

÷

1

2 ÷ 5

0

÷

1

2 ÷ 6

1

÷

1

2 ÷ 7

1

÷

1

2 ÷ 8

-1

÷

-1

3 ÷ 4

0

÷

1

3 ÷ 5

0

÷

1

3 ^ 6

1

÷

1

3 ÷ 7

0

÷

1

3 ÷ 8

0

÷

-1

4 ÷ 5

0

÷

1

4 ÷ 6

0

÷

1

4 ÷ 7

-1

÷

1

4 ÷ 8

0

÷

-1

5 ÷ 6

1

÷

1

5 ÷ 7

-1

÷

1

5 ÷ 8

1

÷

-1

6 ÷ 7

1

÷

1

6 ÷ 8

-1

÷

-1

7 ÷ 8

0

÷

-1



More intriguing information

1. The name is absent
2. The Making of Cultural Policy: A European Perspective
3. ADJUSTMENT TO GLOBALISATION: A STUDY OF THE FOOTWEAR INDUSTRY IN EUROPE
4. Database Search Strategies for Proteomic Data Sets Generated by Electron Capture Dissociation Mass Spectrometry
5. Group cooperation, inclusion and disaffected pupils: some responses to informal learning in the music classroom
6. Party Groups and Policy Positions in the European Parliament
7. Perfect Regular Equilibrium
8. New issues in Indian macro policy.
9. The name is absent
10. TINKERING WITH VALUATION ESTIMATES: IS THERE A FUTURE FOR WILLINGNESS TO ACCEPT MEASURES?