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Articles
  • OpenAccess
  • A Game-Theoretic Model for Bystanders’ Behaviour in Classes with Bullying  [EPASP 2015]
  • DOI: 10.4236/jss.2015.39015   PP.97 - 102
  • Author(s)
  • Yuriko Isada, Nobuko Igaki, Aiko Shibata
  • ABSTRACT
  • 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.

  • KEYWORDS
  • Bullying, Free Rider, Non-Corporative Game
  • References
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    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]
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    [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

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