Abstract
It is important for teachers to understand the characteristics of forming and changing of friendship networks to manage their classes effectively. Many studies have analyzed friendship networks using agent-based models. Most of the models used were designed for capturing basic phenomena in a micro-viewpoint. The purpose of our study is to simulate actual friendship networks. In this paper, we present an agent-based friendship-network model based on our analysis of friendship networks among university students. We focused on Hiramatsu’s model based on a cost-benefit analysis and modified the model with the aim of closing to the actual friendship. With our modified model, the benefit function was based on their cluster structure. The results with the modified model better matched the actual friendship networks. The clique size in the modified model approached that in the actual friendship networks, and the values of several network properties approached those of the actual friendship networks.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Baeza-Yates R, Ribeiro-Neto B, et al (1999) Modern information retrieval, vol 463. ACM press, New York
Balasundaram B, Butenko S, Hicks IV (2011) Clique relaxations in social network analysis: the maximum k-plex problem. Oper Res 59(1):133–142
Heider F (1958) The psychology of interpersonal relations. Wiley
Inuzuka N, Nakano Y, Shimomura T (2008) Friendship analysis using attendance records to university lecture classes. In: IASK international conference on teaching and learning (TL 2008), pp 478–486
Kato R, Mutoh A, Inuzuka N (2013) Grouping methods for generating friendship based on network properties. In: 14th ACIS international conference on software engineering, artificial intelligence, networking and parallel/distributed computing, pp 438–443
Kato R, Mutoh A, Inuzuka N (2014) Model of friendship networks dynamics considering personality and structure (in Japanese). In: The 76th national convention of IPSJ, vol 4, pp 857–858
Maeda Y, Anezaki K, Takeuchi Y (2006) An agentbased model for simulating the group dynamics involved in excluding a minority. In: Proceedings of 1st world congress on social simulation, vol 1, pp 79–86
Osumi T, Osawa H, Imai M (2014) The simulation of bullying and conforming at a class based on socion theory (in Japanese). IEEJ Trans Electr Inf Syst 134(4):560–570
Sato Y, Hiramatsu H (2005) Network dynamics: social networks and rational choice (in Japanese). Keiso Shobo
Stokman FN, Zeggelink EP (1996) 'self-organizing' Friendship Networks. Frontiers in social dilemmas research, pp 385-418
Sugata S, Itoh T, Mutoh A, Inuzuka N (2014) Social network analysis focused on individual (in Japanese). SIG Tech Rep 2014-CLE-13(2):1–7
Tanaka M, Takahashi K, Toriumi F, Sugawara T (2010) Technological simulation for the interpersonal relationships in a classroom and its consideration (in Japanese). Trans Math Model Appl 3(1):98–108
Toriumi F, Ishii K (2007) Effect of grouping on classroom communities. Emergent intelligence networked agents, pp 231–243
Watts DJ, Strogatz S (1998) Collective dynamics of ‘small-world’ networks. Nature 393:440–442
Zeggelink E (1995) Evolving friendship networks: an individual-oriented approach implementing similarity. Soc Netw 17(2):83–110
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Mutoh, A., Imura, Y., Kato, R. et al. A model of friendship networks based on social network analysis. Artif Life Robotics 21, 165–170 (2016). https://doi.org/10.1007/s10015-016-0275-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10015-016-0275-8