A Game-Theoretic Model for Bystanders’ Behaviour in Classes with Bullying


In this paper, the behaviour of bystanders in a classroom in which bullying is occurring is analyzed using Game theory. We focus on bystander’s behaviour and formulate a threshold model. Our analysis shows that as class sizes become smaller, the probability of bullying being stopped increases.

Share and Cite:

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. doi: 10.4236/jss.2015.39015.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] MEXT (2011) Heisei 23 nendo “Jidou seito no mondai koudou nado seito shidoujou no shomondai ni kan suru chousa kekka ni tsuite” [Results of the 2011 Survey of Problem Behavior of Students and Various Issues with Instructing Students]. http://www.mext.go.jp/b_menu/houdou/24/09/__icsFiles/afieldfile/2012/09/11/1325751_01.pdf.
[2] Morita, Y. (2010) Ijime to ha nani ka [What Is Bullying]. Chuko Shinsho, Tokyo.
[3] Shibata, A., Mori, T., Okamura, M. a 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
[4] Glass, G.V. and Smith, M.L. (1979) Meta-Analysis of Research on Class Size and Achievement. Educational Evaluation and Policy Analysis, 1, 2-16. http://dx.doi.org/10.3102/01623737001001002
[5] Smith, M.L. and Glass, G.V. (1980) Meta-Analysis of Research on Class Size and Its Relationship to Attitudes and Instruction. American Educational Research Journal, 17, 419-433. http://dx.doi.org/10.3102/00028312017004419
[6] Nash, J. (1950) Equilibrium Points in n-Person Games. Proceed-ings 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

Copyright © 2022 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.