Theory and Practical Application Based on Game Theory
DOI:
https://doi.org/10.54691/bcpbm.v44i.4978Keywords:
Game theory; Nash Equillibrum; dominated strateg.Abstract
Game theory refers to the method in which one of the interacting parties obtains the decision-making information of the other party and uses it to influence the other party in turn. Therefore, game theory is also called "game theory". Game theory can be divided into cooperative game and non-cooperative game. In recent decades, the theory of game theory has developed rapidly with the establishment of John Nash and has been applied to many fields such as medical, engineering, military, and business. In this paper, the author starts from the basic definition of game theory and analyze the prisoner's dilemma, concordance fallacy, median voter theorem, Gounod model, Bertrand model, iterative deletion of dominated strategy, etc. through specific cases. The research results show that game theory has been widely used in the economy. For bilateral games, the results of Nash equilibrium are unstable. The research in this paper broadens the theory of game theory and has important practical significance for the application research of game theory.
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References
Archetti, M., & Pienta, K. J. Cooperation among cancer cells: applying game theory to cancer. Nature Reviews Cancer, 2019, 19 (2), 110 - 117.
Staňková, K., Brown, J. S., Dalton, W. S., & Gatenby, R. A. Optimizing cancer treatment using game theory: a review. JAMA oncology, 2019, 5 (1), 96 - 103.
Eissa, R., Eid, M. S., & Elbeltagi, E. Current applications of game theory in construction engineering and management research: a social network analysis approach. Journal of construction engineering and management, 2021, 147 (7), 04021066.
Maschler, M., Zamir, S., & Solan, E. (2020). Game theory. Cambridge University Press. 2020.
Khan, M. Ali, and Yeneng Sun. "Non-cooperative games with many players." Handbook of game theory with economic applications, 2002: 1761 - 1808.
Fisac, J. F., Bronstein, E., Stefansson, E., Sadigh, D., Sastry, S. S., & Dragan, A. D.. Hierarchical game-theoretic planning for autonomous vehicles. In 2019 International conference on robotics and automation (ICRA). IEEE, 2019: 9590 - 9596.
Ali, Y., Zheng, Z., Haque, M. M., & Wang, M. A game theory-based approach for modelling mandatory lane-changing behaviour in a connected environment. Transportation research part C: emerging technologies, 2019, 106, 220 - 242.
Askari, G., Gordji, M. E., & Park, C. The behavioral model and game theory. Palgrave Communications, 2019, 5 (1).
Song, X., Jiang, W., Liu, X., Lu, H., Tian, Z., & Du, X. A survey of game theory as applied to social networks. Tsinghua Science and Technology, 2020, 25 (6), 734 - 742.
Long, C., Zhou, Y., & Wu, J. A game theoretic approach for peer to peer energy trading. Energy Procedia, 2019, 159, 454 - 459.
Alhasnawi, B. N., Jasim, B. H., Sedhom, B. E., & Guerrero, J. M. Consensus algorithm-based coalition game theory for demand management scheme in smart microgrid. Sustainable Cities and Society, 2021, 74, 103248.
Mei, J., Chen, C., Wang, J., & Kirtley, J. L. Coalitional game theory based local power exchange algorithm for networked microgrids. Applied energy, 2019, 239, 133 - 141.






