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Solving Game Theory Problems Using Linear Programming and Genetic Algorithms

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1018))

Abstract

In this paper, we proposed an efficient genetic algorithm that will be applied to linear programming problems in order to find out the Fittest Chromosomes. This paper aim to find the optimal strategy of game theory in basketball by using genetic algorithms and linear programming as well as the comparison between traditional methods and modern methods being represented in artificial intelligence, Genetic algorithms as applied in this paper. A new method was adopted in finding the optimal game strategy for player (A) and player (B) through the application of linear programming and finding solutions by using (GA) in MATLAB. The final results confirmed the equivalent of linear programming and genetic algorithms as the model was in the linear approach, and in the case of nonlinearity, genetic algorithm will be in favor definitely. The Matlab program in the calculation of the results for great possibility optimization should also be adopted.

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References

  1. Guo, C., Yang, X.: A programming of genetic algorithm in Matlab7.0, China (2011)

    Google Scholar 

  2. Lee, C.: Multi-objective game-theory models for conflict analysis in reservoir watershed management. Chemosphere 87, 608–613 (2012)

    Article  Google Scholar 

  3. Sadiq, S., Zhao, J.: Money Basketball: Optimizing Basketball Player Selection Using SAS®, paper China (2014)

    Google Scholar 

  4. Ismail, I.A., El Ramly, N.A., El Kafrawy, M.M., Nasef, M.M.: Game theory using genetic algorithms. Proceedings of the World Congress on Engineering (2007)

    Google Scholar 

  5. Datta, S., Garai, C., Das, C.: Efficient genetic algorithm on linear programming problem for fittest chromosomes. J. Global Res. Comput. Sci. 1 (2012)

    Google Scholar 

  6. Sivaraj, R., Ravichandran, T.: An efficient grouping genetic algorithm. Int. J. Comput. Appl. 21(7), 0975–8887, May (2011)

    Google Scholar 

  7. Singh, A.P.: Optimal solution strategy for games. Int. J. Comput. Sci. Eng. 2(9), 2778–2782 (2010)

    Google Scholar 

  8. Linear programming and game theory by Chakravorthy, J.G., University of Calcutta and Ghosh, P.R., University of Calcutta

    Google Scholar 

  9. Goldberg, D.E.: Genetic algorithms. Addison-Wesley (1989)

    Google Scholar 

  10. Gen, M.: Genetic Algorithms and Engineering Optimization. John Wiley and Sons, Inc. (2000)

    Google Scholar 

  11. Peters, H.: Game Theory: A Multi-Leveled Approach, p. 1989. Springer- Verlag, Berlin (2008)

    Book  Google Scholar 

  12. Schecter, S., Gintis, H.: Introduction to Game Theory. North Carolina State University, January 17 (2012)

    Google Scholar 

  13. Shi, Y., Xing, Y., Mou, C., Kuang, Z.: An optimization model based on game theory. J. of Multimedia 9(4), 583, April 2014, Genetic algorithms. Sci. Am 267, 66e72 (1992)

    Google Scholar 

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Correspondence to Marwan Abdul Hameed Ashour .

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Ashour, M.A.H., Al-Dahhan, I.A.H., Al-Qabily, S.M.A. (2020). Solving Game Theory Problems Using Linear Programming and Genetic Algorithms. In: Ahram, T., Taiar, R., Colson, S., Choplin, A. (eds) Human Interaction and Emerging Technologies. IHIET 2019. Advances in Intelligent Systems and Computing, vol 1018. Springer, Cham. https://doi.org/10.1007/978-3-030-25629-6_39

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  • DOI: https://doi.org/10.1007/978-3-030-25629-6_39

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-25628-9

  • Online ISBN: 978-3-030-25629-6

  • eBook Packages: EngineeringEngineering (R0)

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