Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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ON RESPONSE PERFORMANCE TO LEARNING STRATEGIES: A DYNAMIC GAME APPROACH

Authors

  • Harrison O. Amuji
  • Hycinth C. Iwu
  • Chinemerem C. Igboanusi
  • Vivian N. Ikeogu
  • Samuel I. Ogbaa
  • Obialo A. Kalu
  • Joy U. Chukwuchekwa
  • Bridget N. Okechukwu
  • Chukwuma D. Anyiam

Keywords:

cooperative game, grand coalition, dynamic programming, wait of gain, optimal decision policy

DOI:

https://doi.org/10.17654/0974165825053

Abstract

In this paper, we developed a method for assessing the response performance of students to lecturing/learning strategies via an integer programming approach to dynamic game problems. The data for the study were collected from the Department of Statistics, FUTO. For optimal performance, lecturing/learning strategies: 1, 5, and 2 should be adopted, while strategies 3 and 4 should be discarded because of their poor performance outcomes. Strategy A1 produced a 53% success rate on the students’ performance; strategy A5 produced a 49% success rate, and strategy A2 produced a 40% success rate.

Received: May 10, 2025
Accepted: June 13, 2025

References

[1] Y. Dong and Z. Dong, Bibliometric analysis of game theory on energy and natural resource, Sustainability 15 (2023), 1-19.

[2] H. O. Amuji, Probability, Introduction to Statistics and Probability STA 211 Manual, Hephzibah Prints, 2019, pp. 80-108.

[3] N. Sajedeh and S. Mehdi, An overview on game theory and its application, IOP Conference Series: Material Science and Engineering 993 (2020), 1-7.

[4] S. Jiayi, T. Hua and Z. Tianyu, Application and commercial extension of game theory in strategy games, AEBMR 648 (2022), 516-523.

[5] L. Song, Z. Yu and Q. He, Evolutionary game theory and simulations based on doctor and patient medical malpractice, PLoS ONE 18(3) (2023), e0282434.

[6] E. C. Amadi, G. E. Eheduru, F. U. Eze, C. Ikerionwu and H. O. Amuji, A zero-sum mitigation game model for distributed denial of service attack using linear programming, IEEE 3rd International Conference on Electro-technology for National Development (NIGERCON), Owerri, Nigeria, 2017, pp. 327-333.

[7] A. I. Arua, P. E. Chigbu, W. I. E. Chukwu, C. C. Ezekwem and F. C. Okafor, Advanced Statistics for Higher Education, Academic Publishers Nigeria, Vol. 1, 2000.

[8] R. E. Gomory and P. C. Gilmore, A linear programming approach to the cutting stock problem, The Journal of the Operational Research Society 9 (1961), 849-859.

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Published

2025-11-01

Issue

Vol. 42 No. 8 (2025)

Section

Articles

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Copyright (c) 2025 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

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How to Cite

ON RESPONSE PERFORMANCE TO LEARNING STRATEGIES: A DYNAMIC GAME APPROACH. (2025). Advances and Applications in Discrete Mathematics, 42(8), 833-845. https://doi.org/10.17654/0974165825053

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