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Attacker-Defender Strategy Optimization Using Multi-objective Competitive Co-Evolution

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Parallel Problem Solving from Nature – PPSN XVIII (PPSN 2024)

Abstract

Attacker-defender strategy optimization deals with optimizing and deciding on different tactics used by two independent entities working in tandem. Unlike in standard optimization problems, a complete solution of the entire two-agent problem consists of strategies of both agents and evaluation of a solution requires precise information of both strategies. For this reason, a co-evolutionary optimization framework is proposed in this paper to keep two co-evolving populations interacting with each other in tandem to reach their optimal strategies. While co-evolutionary algorithms have been proposed in the past, multi-objective co-evolutionary problems make the optimization task more complex, resulting in a set of Pareto-optimal strategies for each entity. In this paper, we apply a multi-objective competitive co-evolutionary optimization algorithm to a real-world wargame strategy optimization problem. The proposed co-evolutionary algorithm is used to find trade-off sets of competitive wargame strategies for both entities and a novel post-optimization decision-making procedure is also proposed to choose preferred strategies for each entity in tandem, leading to a stable or a cycle of sequential strategies. To the best of our knowledge, this paper marks one of the first-ever applications of multi-objective, competitive, co-evolutionary optimization approaches to a real-world wargame scenario, revealing their impact and importance in practice.

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References

  1. Coefficient of variation. https://www.isixsigma.com/dictionary/coefficient-of-variation/. Accessed 27 Sept 2023

  2. Command Modern Air and Naval Operations. https://www.matrixgames.com/game/command-modern-air-naval-operations-wargame-of-the-year-edition. Accessed 19 Jun 2024

  3. Atashpendar, A., Dorronsoro, B., Danoy, G., Bouvry, P.: A scalable parallel cooperative coevolutionary PSO algorithm for multi-objective optimization. J. Parall. Distrib. Comput. 112, 111–125 (2018)

    Article  Google Scholar 

  4. Bandaru, S., Ng, A.H.C., Deb, K.: Data mining methods for knowledge discovery in multi-objective optimization: Part A - survey. Expert Syst. Appl. 70, 139–159 (2017)

    Article  Google Scholar 

  5. Barbosa, H.J.C.: A genetic algorithm for min-max problems. In: Proceedings of the First International Conference on Evolutionary Computation and Its Application (EvCA’96), pp. 99–109 (1996)

    Google Scholar 

  6. De Lima Filho, G.M., Kuroswiski, A.R., Medeiros, F.L.L., Voskuijl, M., Monsuur, H., Passaro, A.: Optimization of unmanned air vehicle tactical formation in war games. IEEE Access 10, 21727–21741 (2022)

    Google Scholar 

  7. Deb, K., Agrawal, S., Pratap, A., Meyarivan, T.: A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)

    Article  Google Scholar 

  8. Deb, K., Srinivasan, A.: Innovization: innovating design principles through optimization. In: Proceedings of the 8th Annual Conference on Genetic and Evolutionary Computation, pp. 1629–1636 (2006)

    Google Scholar 

  9. Dorronsoro, B., Danoy, G., Nebro, A.J., Bouvry, P.: Achieving super-linear performance in parallel multi-objective evolutionary algorithms by means of cooperative coevolution. Comput. Oper. Res. 40(6), 1552–1563 (2013)

    Article  MathSciNet  Google Scholar 

  10. Garcıa-Pedrajas, N., Hervás-Martınez, C., Munoz-Pérez, J.: Multi-objective cooperative coevolution of artificial neural networks (multi-objective cooperative networks). Neural Netw. 15(10), 1259–1278 (2002)

    Article  Google Scholar 

  11. Goh, C.K., Tan, K.C., Liu, D., Chiam, S.C.: A competitive and cooperative co-evolutionary approach to multi-objective particle swarm optimization algorithm design. Eur. J. Oper. Res. 202(1), 42–54 (2010)

    Article  Google Scholar 

  12. Jia, Z.X., Kiang, J.F.: War game between two matched fleets with goal options and tactical optimization. AI 3(4), 890–930 (2022)

    Google Scholar 

  13. Keerativuttitumrong, N., Chaiyaratana, N., Varavithya, V.: Multi-objective co-operative co-evolutionary genetic algorithm. In: Guervós, J.J.M., Adamidis, P., Beyer, H.-G., Schwefel, H.-P., Fernández-Villacañas, J.-L. (eds.) Parallel Problem Solving from Nature — PPSN VII, pp. 288–297. Springer, Berlin, Heidelberg (2002). https://doi.org/10.1007/3-540-45712-7_28

    Chapter  Google Scholar 

  14. Li, Y., Wang, J., Liu, Z.: A simple two-agent system for multi-objective flexible job-shop scheduling. J. Comb. Optim. 43(1), 42–64 (2022)

    Article  MathSciNet  Google Scholar 

  15. Luo, J., Cooper, J., Cao, C., Pham, K.: Cooperative adaptive control of a two-agent system. In: 2012 American Control Conference (ACC), pp. 2413–2418. IEEE (2012)

    Google Scholar 

  16. McIntyre, A.R., Heywood, M.I.: Multi-objective competitive coevolution for efficient GP classifier problem decomposition. In: 2007 IEEE International Conference on Systems, Man and Cybernetics, pp. 1930–1937. IEEE (2007)

    Google Scholar 

  17. Meneghini, I.R., Guimaraes, F.G., Gaspar-Cunha, A.: Competitive coevolutionary algorithm for robust multi-objective optimization: the worst case minimization. In: 2016 IEEE Congress on Evolutionary Computation (CEC), pp. 586–593. IEEE (2016)

    Google Scholar 

  18. Miettinen, K.: Nonlinear Multiobjective Optimization. Kluwer, Boston (1999)

    Google Scholar 

  19. Mittal, S., Kumar, D., Deb, S.K.: A unified automated innovization framework using threshold-based clustering. In: 2020 IEEE Congress on Evolutionary Computation (CEC), pp. 1–8. IEEE (2020)

    Google Scholar 

  20. Ozaki, A., Furuichi, M., Takahashi, K., Matsukawa, H.: Design and implementation of parallel and distributed wargame simulation system and its evaluation. IEICE Trans. Inf. Syst. 84(10), 1376–1384 (2001)

    Google Scholar 

  21. Paredis, J.: Coevolutionary constraint satisfaction. In: Parallel Problem Solving from Nature III (PPSN-III), pp. 46–55 (1994)

    Google Scholar 

  22. Steuer, R.E.: Multiple Criteria Optimization: Theory, Computation and Application. Wiley, New York (1986)

    Google Scholar 

  23. Wang, K., Gou, C., Duan, Y., Lin, Y., Zheng, X., Wang, F.Y.: Generative adversarial networks: introduction and outlook. IEEE/CAA J. Autom. Sinica 4(4), 588–598 (2017)

    Article  MathSciNet  Google Scholar 

  24. Zeng, F., Decraene, J., Low, M.Y.H., Cai, W., Hingston, P.: Studies on pareto-based multi-objective competitive coevolutionary dynamics. In: 2011 IEEE Congress of Evolutionary Computation (CEC), pp. 2383–2390. IEEE (2011)

    Google Scholar 

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Correspondence to Ritam Guha .

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Guha, R., Mckendrick, R., Feest, B., Deb, K. (2024). Attacker-Defender Strategy Optimization Using Multi-objective Competitive Co-Evolution. In: Affenzeller, M., et al. Parallel Problem Solving from Nature – PPSN XVIII. PPSN 2024. Lecture Notes in Computer Science, vol 15151. Springer, Cham. https://doi.org/10.1007/978-3-031-70085-9_22

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  • DOI: https://doi.org/10.1007/978-3-031-70085-9_22

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