3-Player 3-Strategy Nash Equilibruim of Party’s Presidential Primaries in the Build-Up to 2023 General Elections in Nigeria
DOI:
https://doi.org/10.62054/ijdm/0103.18Keywords:
Election, Game theory, Nash equilibrium, 3-Player, 3-strategy, Party.Abstract
The research formulated a political game model of All Progressive Congress (APC) Party Contestants for the Presidential Primaries in order to determine the best possible candidate who would be presented by the Party for winning the 2023 General Election in Nigeria. The method of solution involved Nash equilibrium which yielded a pure Nash result of Propaganda, Consultation and Youth mobilization Strategies for Yahaya Bello, Ahmed Bola Tinubu and Yemi Osinbajo respectively. The study concluded that, the outcome of the Party’s primaries which produced Ahmed Bola Tinubu as its flag bearer was consistent with the model’s result. Because, Ahmed Bola Tinubu did a lot of deep consultation with stakeholders while Yahaya Bello’s best response was propaganda as Osibanjo was preferred by the Youth of the Party.
References
Alizadeh, M., Zhuang, Y. & Wang, Z. (2021). Efficient Algorithms for Computing Nash Equilibria in Multi-Player
Games. Journal of Computational Game Theory, 15(3), 305-323
Alós-Ferrer, C. & Netzer, N. (2022). "Nash Equilibria in Games with Multiple Pure Strategy Profiles." Games and
Economic Behavior, 132, 1-17.
Ayo, A., Olufemi, A. & Ajinde, O. (2012). Zoning formula and the party politics in Nigerian democracy: a
crossroad for PDP in 2015 presidential election, Research on Humanities and Social Sciences, 2(4), 1-10.
Chen, X. & Lin, S. (2022). Theoretical Insights into Multi-Player Nash Equilibria: Stability and Uniqueness.
Mathematical Economics, 58(2), 175-192
Kumar, V. & Gupta, R. (2021). Exploring Nash Equilibria in Complex Strategic Games: Advances and
Applications. Journal of Economic Theory and Applications, 45(3), 312-328.
Li, C. & Yang, X. (2022). Computational Complexity and Solution Methods for Multi-Player Game Equilibria.
Operations Research Letters, 50(5), 678-688.
Liu, H., Zhang, L. & Xu, Y. (2023). Applications of 3-Player Nash Equilibrium Models in Auction Design.
International Journal of Game Theory, 52(4), 485-505.
Nash, J. (1950). Equilibrium points in n-person games. Proceedings of the National Academy of Sciences, 36(1), 48-
Nyor, N., Assi, P. N., Evans, P. O., Idrisuand, M. & Aliyu, A. (2019). A Game Theory for Controlling Students’
Unrest on Nigerian Tertiary Institutions. Journal of Science, Technology, Mathematics and Education, 15(1),
–136.
Nyor, N., Izhar, M., and Abu, S. (2023). A 3-Person Non-Zero-Sum Game for Sachet Water Companies A 3-Person Non-Zero-Sum Game for Sachet Water Companies. January. https://doi.org/10.9734/arjom/2022/v18i830398
Nyor, N., Abubakar, U.Y., Jiya, M., Terdoo, F., Ioramen, T., Adetutu, O.M., Evans, P.O. and Dzarma, E.A., 2022. Structuring Wicked Problems in Nigeria: The Operation Research Approach. Asian Research Journal of Mathematics, 18(9): 58-67
Osborne, M. J., and Rubinstein, A. (1994). A Course in Game Theory. MIT Press.
Tirole, J. (1988). The Theory of Industrial Organization. MIT Press.
Wright, J. R., and Leyton-Brown, K. (2017). Predicting human behavior in unrepeated, simultaneous-move games. Games and Economic Behavior, 106, 16-37.
Zhang, J., and Yang, Y. (2024). Strategic Behavior in Networked Systems: A Study of 3-Player Nash Equilibria. Networks, 64(1), 112-129.
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