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Comparing Discrete and Continuous Genotypes on the Constrained Portfolio Selection Problem

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Genetic and Evolutionary Computation – GECCO 2004 (GECCO 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3103))

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Abstract

In financial engineering the problem of portfolio selection has drawn much attention in the last decades. But still unsolved problems remain, while on the one hand the type of model to use is still debated, even the most common models cannot be solved efficiently, if real world constraints are added. This is not only because the portfolio selection problem is multi-objective, but also because constraints may turn a formerly continuous problem into a discrete one. Therefore, we suggest to use a Multi-Objective Evolutionary Algorithm and compare discrete and continuous representations. To meet constraints we apply a repair mechanism and examine the impact of Lamarckism and the Baldwin Effect on several instances of the portfolio selection problem.

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References

  1. Arnone, S., Loraschi, A., Tettamanzi, A.: A genetic approach to portfolio selection. Neural Network World, International Journal on Neural and Mass-Parallel Computing and Information Systems 3, 597–604 (1993)

    Google Scholar 

  2. Beasley, J.B.: OR-Library: distributing test problems by electronic mail. Journal of the Operational Research 8, 429–433 (1996)

    MATH  Google Scholar 

  3. Black, F., Litterman, R.: Global portfolio optimization. Financial Analysts Journal, 28–43 (September-October 1992)

    Google Scholar 

  4. Chang, T.-J., Meade, N., Beasley, J.B., Sharaiha, Y.: Heuristics for cardinality constrained portfolio optimization. Computers and Operations Research 27, 1271–1302 (2000)

    Article  MATH  Google Scholar 

  5. Crama, Y., Schyns, M.: Simulated annealing for complex portfolio selection problems. In: Working paper GEMME 9911, Université de Liège (1999)

    Google Scholar 

  6. Deb, K., Agrawal, S., Pratab, A., Meyarivan, T.: A Fast Elitist Non-Dominated Sorting Genetic Algorithm for Multi-Objective Optimization: NSGAII. In: Deb, K., Rudolph, G., Lutton, E., Merelo, J.J., Schoenauer, M., Schwefel, H.-P., Yao, X. (eds.) PPSN 2000. LNCS, vol. 1917, pp. 849–858. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  7. Goldberg, D., Richardson, J.: Genetic algorithms with sharing for multimodal function optimization. In: Grefenstette (ed.) Proceedings of the 2nd International Conference on Genetic Algorithms, pp. 41–49 (1987)

    Google Scholar 

  8. Knowles, J., Corne, D.: The pareto archived evolution strategy: A new baseline algorithm for pareto multiobjective optimisation. In: Angeline, P.J., Michalewicz, Z., Schoenauer, M., Yao, X., Zalzala, A. (eds.) Proceedings of the Congress on Evolutionary Computation, Mayflower Hotel, Washington D.C., USA, vol. 1, pp. 98–105. IEEE Press, Los Alamitos (1999)

    Google Scholar 

  9. Loraschi, A., Tettamanzi, A.: An evolutionary algorithm for portfolio selection in a downside risk framework. Working Papers in Financial Economics 6, 8–12 (1995)

    Google Scholar 

  10. Loraschi, A., Tettamanzi, A., Tomassini, M., Verda, P.: Distributed genetic algorithms with an application to portfolio selection problems. In: Pearson, D.W., Steele, N.C., Albrecht, R.F. (eds.) Artificial Neural Networks and Genetic Algorithms, Wien, pp. 384–387. Springer, Heidelberg (1995)

    Google Scholar 

  11. Markowitz, H.M.: Portfolio selection. Journal of Finance 1(7), 77–91 (1952)

    Article  Google Scholar 

  12. Markowitz, H.M.: Portfolio Selection: efficient diversification of investments. John Wiley & Sons, Chichester (1959)

    Google Scholar 

  13. Srinivas, N., Deb, K.: Multiobjective optimization using nondominated sorting in genetic algorithms. Evolutionary Computation 2(3), 221–248 (1994)

    Article  Google Scholar 

  14. Streichert, F., Ulmer, H., Zell, A.: Evolutionary algorithms and the cardinality constrained portfolio selection problem. In: Ahr, D., Fahrion, R., Oswald, M., Reinelt, G. (eds.) Operations Research Proceedings 2003, Selected Papers of the International Conference on Operations Research (OR 2003), Springer, Heidelberg (2003)

    Google Scholar 

  15. Whitley, D.L., Gordon, V.S., Mathias, K.E.: Lamarckian evolution, the baldwin effect and function optimization. In: Davidor, Y., Männer, R., Schwefel, H.-P. (eds.) PPSN 1994. LNCS, vol. 866, pp. 6–15. Springer, Heidelberg (1994)

    Google Scholar 

  16. Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: Improving the Strength Pareto Evolutionary Algorithm. Technical Report 103, Gloriastrasse 35, CH-8092 Zurich, Switzerland (2001)

    Google Scholar 

  17. Zitzler, E., Thiele, L.: Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach. IEEE Transactions on Evolutionary Computation 3(4), 257–271 (1999)

    Article  Google Scholar 

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Streichert, F., Ulmer, H., Zell, A. (2004). Comparing Discrete and Continuous Genotypes on the Constrained Portfolio Selection Problem. In: Deb, K. (eds) Genetic and Evolutionary Computation – GECCO 2004. GECCO 2004. Lecture Notes in Computer Science, vol 3103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24855-2_131

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  • DOI: https://doi.org/10.1007/978-3-540-24855-2_131

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22343-6

  • Online ISBN: 978-3-540-24855-2

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