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 JAMP  Vol.4 No.1 , January 2016
An Economic Model of Bystanders’ Behaviour
Abstract:

In this paper, we deal with a classroom where bullying is occurring and assume that if a number of bystanders who tattle bullying exceeds a threshold, then bullying is stopped. Bystanders’ behaviour is formulated as a non-cooperative game, with negative externality, retaliation cost and reporting cost. Our research shows that to stop bullying, it is useful to raise the cost of negative externality and to reduce the retaliation cost and or the reporting cost. Additionally, it is shown that small class is effective in preventing bullying.

Cite this paper: Isada, Y. , Igaki, N. and Shibata, A. (2016) An Economic Model of Bystanders’ Behaviour. Journal of Applied Mathematics and Physics, 4, 33-38. doi: 10.4236/jamp.2016.41006.
References

[1]   MEXT (2014) Results of the 2013 Survey of Problem Behaviour of Students and Various Issues with Instructing Students. http://www.mext.go.jp/b_menu/shingi/chukyo/chukyo3/gijiroku/__icsFiles/afieldfile/2014/12/18/1354117_5.pdf

[2]   Magata O. (2013) Ijime to hanzai. [Bullying and Crime] Chuo. http://www.yomiuri.co.jp/adv/chuo/opinion/20140303.htm

[3]   Morita, Y. (2010) Ijime to ha nanika [What Is Bullying].Chuko Shinsho, Tokyo.

[4]   Shibata, A., Mori, T., Okamura, M. and Soyama, N. (2008) An Economic Analysis of Apathetic Behavior: Theory and Experiment. The Journal of Socio-Economics, 37, 90-107. http://dx.doi.org/10.1016/j.socec.2006.12.026

[5]   Isada, Y., Igaki, N. and Shibata, A. (2015) A Game-Theoretic Model for Bystanders’ Behaviour in Classes with Bullying. Open Journal of Social Sciences, 3, 97-102. http://dx.doi.org/10.4236/jss.2015.39015

[6]   Nash, J. (1950) Equilibrium Points in n-Person Games. Proceedings of the National Academy of Sciences of the United States of America, 36, 48-49. http://dx.doi.org/10.1073/pnas.36.1.48

[7]   Nash, J. (1951) Non-Cooperative Games. Annals of Mathematics Second Series, 54, 286-295. http://dx.doi.org/10.2307/1969529

 
 
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