An Agent-based Model for Analyzing Interaction of Two Stable Social Networks
In this research, the authors analyze network stability
using agent-based simulation. Firstly, the authors focus on analyzing
large networks (eight agents) by connecting different two stable small
social networks (A small stable network is consisted on four agents.).
Secondly, the authors analyze the network (eight agents) shape which
is added one agent to a stable network (seven agents). Thirdly, the
authors analyze interpersonal comparison of utility. The “star-network
"was not found on the result of interaction among stable two small
networks. On the other hand, “decentralized network" was formed
from several combination. In case of added one agent to a stable
network (seven agents), if the value of “c"(maintenance cost of per
a link) was larger, the number of patterns of stable network was
also larger. In this case, the authors identified the characteristics of a
large stable network. The authors discovered the cases of decreasing
personal utility under condition increasing total utility.
[1] Granovetter, M. (1973) "The Strength of Weak Ties, "American Journal
of Sociology, 78, 1360-1380.
[2] Corominas-Bosch, M. (2004) "Bargaining in a network of buyers and
sellers, "Journal of Economic Theory, 115 (1), 35-77.
[3] Kranton, R. and D. Minehart (2001) "A Theory of Buyer-Seller Networks,
"The American Economic Review, 91, 485-508.
[4] Bramoull'e, Y. and R. Kranton (2007) "Risk-sharing networks, "Journal
of Economic Behavior and Organization, 64, 275-294.
[5] Hendricks, K., M. Piccone and G. Tan (1995) "The Economics of Hubs:
The Case of Monopoly, "Review of Economic Studies, 62, 83-100.
[6] Jackson, M.O. and A. Wolinsky (1996) "A Strategic Model of Social and
Economic Networks,"Journal of Economic Theory, 71, 44-74.
[7] Daito, M. and H. Kojima (2011), "A Dynamic Analysis for Social
Network Formation under Symmetric Situation" Journal of Okayama
Shoka University 47(2), (forthcoming).
[1] Granovetter, M. (1973) "The Strength of Weak Ties, "American Journal
of Sociology, 78, 1360-1380.
[2] Corominas-Bosch, M. (2004) "Bargaining in a network of buyers and
sellers, "Journal of Economic Theory, 115 (1), 35-77.
[3] Kranton, R. and D. Minehart (2001) "A Theory of Buyer-Seller Networks,
"The American Economic Review, 91, 485-508.
[4] Bramoull'e, Y. and R. Kranton (2007) "Risk-sharing networks, "Journal
of Economic Behavior and Organization, 64, 275-294.
[5] Hendricks, K., M. Piccone and G. Tan (1995) "The Economics of Hubs:
The Case of Monopoly, "Review of Economic Studies, 62, 83-100.
[6] Jackson, M.O. and A. Wolinsky (1996) "A Strategic Model of Social and
Economic Networks,"Journal of Economic Theory, 71, 44-74.
[7] Daito, M. and H. Kojima (2011), "A Dynamic Analysis for Social
Network Formation under Symmetric Situation" Journal of Okayama
Shoka University 47(2), (forthcoming).
@article{"International Journal of Engineering, Mathematical and Physical Sciences:53441", author = "Masatora Daito and Hisashi Kojima", title = "An Agent-based Model for Analyzing Interaction of Two Stable Social Networks", abstract = "In this research, the authors analyze network stability
using agent-based simulation. Firstly, the authors focus on analyzing
large networks (eight agents) by connecting different two stable small
social networks (A small stable network is consisted on four agents.).
Secondly, the authors analyze the network (eight agents) shape which
is added one agent to a stable network (seven agents). Thirdly, the
authors analyze interpersonal comparison of utility. The “star-network
"was not found on the result of interaction among stable two small
networks. On the other hand, “decentralized network" was formed
from several combination. In case of added one agent to a stable
network (seven agents), if the value of “c"(maintenance cost of per
a link) was larger, the number of patterns of stable network was
also larger. In this case, the authors identified the characteristics of a
large stable network. The authors discovered the cases of decreasing
personal utility under condition increasing total utility.", keywords = "Social Network, Symmetric Situation, Network Stability,Agent-Based Modeling.", volume = "5", number = "12", pages = "1866-7", }