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Evolutionary stability in simple classifier systems

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Book cover Evolutionary Computing (AISB EC 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 865))

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Abstract

In this paper, the relatively new branch of mathematics known as Evolutionary Game Theory is proposed as a potentially useful tool when seeking to resolve certain of the more global, unanswered questions related to classifier systems. In particular, it is proved that, under certain mild assumptions, the performance of a classifier systems plan will, if the Bucket Brigade Algorithm is adopted, conform to what is referred to as ‘an evolutionary stable state’. A simple example is also provided to confirm the theoretical findings.

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References

  1. Goldberg, D.E. Computer Aider Gas Pipeline Operation Using Genetic Algorithms and Rule Learning, Doctoral Dissertation, University of Michigan, Ann Arbor, 1983.

    Google Scholar 

  2. Wilson, S.W.Classifier Systems and the Animat Problem, Machine Learning, 2(3), 1987.

    Google Scholar 

  3. Yates, D.F. and Fairley, A. An Investigation Into Possible Causes of, and Solutions to, Rule Strength Distortion Due to the Bucket Brigade Algorithm, Proc. 5th Int. Conf. on Genetic Algorithms, Morgan Kaufmann, 1993.

    Google Scholar 

  4. Riolo, R.L. The Emergence of Coupled Sequences of Classifiers, Proc. 3rd Int. Conf. on Genetic Algorithms, Morgan Kaufmann, 1989.

    Google Scholar 

  5. Booker, L.B. Triggered Rule Discovery in Classifier Systems, Proc. 3rd Int. Conf. on Genetic Algorithms, Morgan Kaufmann, 1989.

    Google Scholar 

  6. Holland, J.H. A Mathematical Framework for Studying Learning in Classifier Systems, Physica 22D, 1986.

    Google Scholar 

  7. Maynard Smith, J. Evolutionary Game Theory, Physica 22D, 1986.

    Google Scholar 

  8. Bomze, I.M. and Potscher, B.M. Game Theoretical Foundations of Evolutionary Stability, in Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, 1989.

    Google Scholar 

  9. Dawkins, R. The Selfish Gene, Oxford University Press, 1976.

    Google Scholar 

  10. Harley, C.B. Learning the Evolutionarily Stable Strategy, Journal of Theoretical Biology, 89, 1981.

    Google Scholar 

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Terence C. Fogarty

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© 1994 Springer-Verlag Berlin Heidelberg

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Yates, D.F., Fairley, A. (1994). Evolutionary stability in simple classifier systems. In: Fogarty, T.C. (eds) Evolutionary Computing. AISB EC 1994. Lecture Notes in Computer Science, vol 865. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58483-8_3

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  • DOI: https://doi.org/10.1007/3-540-58483-8_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58483-4

  • Online ISBN: 978-3-540-48999-3

  • eBook Packages: Springer Book Archive

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