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Kurdvandi Y, Navidi H, Kamandi A. Determining the Student Effectiveness Index in the Classroom by Game Theory. jor 2025; 22 (3) :53-67
URL: http://jamlu.liau.ac.ir/article-1-2317-en.html

Determining the Student Effectiveness Index in the Classroom by Game Theory

Y. Kurdvandi

, H. Navidi ^*

, A. Kamandi

Department of Mathematics and Computer Sciences, Shahed University, Tehran, Iran , navidi@shahed.ac.ir

Abstract: (47 Views)

Collaborative learning, as an effective educational method, requires precise tools for individual impact assessment. This study proposes a novel model of collaborative learning where students interact within a hierarchical structure. By transforming this model into a cooperative game with a characteristic function based on knowledge exchange, the Banzhaf value is computed as a quantitative influence index. Implementation results on simulated classrooms demonstrate that Banzhaf values accurately reflect students' practical roles in the collaborative network. This framework provides a mathematically rigorous basis for designing objective evaluation systems in educational environments.

Keywords: Game Theory, Collaborative Learning, Cooperative Games, Banzhaf Value, Active Teaching Methods.

Type of Study: Research | Subject: Special
Received: 2025/07/1 | Accepted: 2025/08/27

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