Skip to main content

The Role of Behavioral Diversity and Difficulty of Opponents in Coevolving Game-Playing Agents

  • Conference paper
  • First Online:
Applications of Evolutionary Computation (EvoApplications 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9028))

Included in the following conference series:

Abstract

Generalization performance of learning agents depends on the training experience to which they have been exposed. In game-playing domains, that experience is determined by the opponents faced during learning. This analytical study investigates two characteristics of opponents in competitive coevolutionary learning: behavioral diversity and difficulty (performance against other players). To assess diversity, we propose a generic intra-game behavioral distance measure, that could be adopted to other sequential decision problems. We monitor both characteristics in two-population coevolutionary learning of Othello strategies, attempting to explain their relationship with the generalization performance achieved by the evolved solutions. The main observation is the existence of a non-obvious trade-off between difficulty and diversity, with the latter being essential for obtaining high generalization performance.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Popovici, E., Bucci, A., Wiegand, R.P., de Jong, E.D.: Coevolutionary principles. In: Rozenberg, G., Bäck, T., Kok, J.N. (eds.) Handbook of Natural Computing, pp. 987–1033. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  2. Nolfi, S., Floreano, D.: Coevolving predator and prey robots: do “arms races” arise in artificial evolution? Artif. Life 4(4), 311–335 (1998)

    Article  Google Scholar 

  3. Ficici, S.G., Pollack, J.B.: Challenges in coevolutionary learning: arms-race dynamics, open-endedness, and medicocre stable states. In: Proceedings of the Sixth International Conference on Artificial Life. ALIFE, pp. 238–247. MIT Press, Cambridge (1998)

    Google Scholar 

  4. Watson, R.A., Pollack, J.B.: Coevolutionary dynamics in a minimal substrate. In: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2001), pp. 702–709. Morgan Kaufmann (2001)

    Google Scholar 

  5. Jaśkowski, W., Liskowski, P., Szubert, M.G., Krawiec, K.: Improving coevolution by random sampling. In: Proceeding of the Fifteenth Annual Conference on Genetic and Evolutionary Computation Conference. GECCO 2013, pp. 1141–1148. ACM, New York (2013)

    Google Scholar 

  6. Chong, S.Y., Tino, P., Ku, D.C., Yao, X.: Improving generalization performance in co-evolutionary learning. IEEE Trans. Evol. Comput. 16(1), 70–85 (2012)

    Article  Google Scholar 

  7. Goldberg, D.E., Richardson, J.: Genetic algorithms with sharing for multimodal function optimization. In: Proceedings of the Second International Conference on Genetic Algorithms and Their Application, pp. 41–49. L. Erlbaum Associates Inc., Hillsdale (1987)

    Google Scholar 

  8. Mahfoud, S.W.: Niching methods for genetic algorithms. Ph.D. thesis, University of Illinois at Urbana-Champaign, Urbana, IL (1995)

    Google Scholar 

  9. Sareni, B., Krahenbuhl, L.: Fitness sharing and niching methods revisited. IEEE Trans. Evol. Comput. 2(3), 97–106 (1998)

    Article  Google Scholar 

  10. Rosin, C.D., Belew, R.K.: New methods for competitive coevolution. Evol. Comput. 5(1), 1–29 (1997)

    Article  Google Scholar 

  11. Cartlidge, J., Bullock, S.: Combating coevolutionary disengagement by reducing parasite virulence. Evol. Comput. 12(2), 193–222 (2004)

    Article  Google Scholar 

  12. Chong, S.Y., Tino, P., Yao, X.: Relationship between generalization and diversity in coevolutionary learning. IEEE Trans. Comput. Intell. AI Game. 1(3), 214–232 (2009)

    Article  Google Scholar 

  13. Lehman, J., Stanley, K.O.: Abandoning objectives: evolution through the search for novelty alone. Evol. Comput. 19(2), 189–223 (2011)

    Article  Google Scholar 

  14. Mouret, J.B., Doncieux, S.: Encouraging behavioral diversity in evolutionary robotics: an empirical study. Evol. Comput. 20(1), 91–133 (2012)

    Article  Google Scholar 

  15. Gomez, F.J.: Sustaining diversity using behavioral information distance. In: Proceedings of the 11th Annual Conference on Genetic and Evolutionary Computation, GECCO 2009, pp. 113–120. ACM, New York (2009)

    Google Scholar 

  16. Gomes, J., Mariano, P., Christensen, A.L.: Novelty Search in competitive coevolution. In: Bartz-Beielstein, T., Branke, J., Filipič, B., Smith, J. (eds.) PPSN 2014. LNCS, vol. 8672, pp. 233–242. Springer, Heidelberg (2014)

    Chapter  Google Scholar 

  17. Moriarty, D.E., Schultz, A.C., Grefenstette, J.J.: Evolutionary algorithms for reinforcement learning. J. Artif. Intell. Res. 11, 241–276 (1999)

    MATH  Google Scholar 

  18. Lucas, S.M., Runarsson, T.P.: Temporal difference learning versus co-evolution for acquiring othello position evaluation. In: Louis, S.J., Kendall, G. (eds.) Proceedings of the 2006 IEEE Symposium on Computational Intelligence and Games, CIG 2006, IEEE, pp. 52–59 (2006)

    Google Scholar 

  19. de Jong, E.D.: The MaxSolve algorithm for coevolution. In: Proceedings of the 2005 Conference on Genetic and Evolutionary Computation. GECCO 2005, pp. 483–489. ACM, New York (2005)

    Google Scholar 

  20. Beyer, H.G., Schwefel, H.P.: Evolution strategies-a comprehensive introduction. Nat. Comput. 1(1), 3–52 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  21. de Jong, E.D., Pollack, J.B.: Ideal evaluation from coevolution. Evol. Comput. 12(2), 159–192 (2004)

    Article  Google Scholar 

  22. Szubert, M.G., Jaśkowski, W., Liskowski, P., Krawiec, K.: Shaping fitness function for evolutionary learning of game strategies. In: Proceedings of the 15th Annual Conference on Genetic and Evolutionary Computation. GECCO 2013, pp. 1149–1156. ACM, New York (2013)

    Google Scholar 

Download references

Acknowledgments

This work has been supported by the Polish Ministry of Science and Higher Education, grant no. 09/91/DSMK/0568. W. Jaśkowski has been supported by the Polish National Science Centre grant no. DEC-2013/09/D/ST6/03932.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marcin Szubert .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Szubert, M., Jaśkowski, W., Liskowski, P., Krawiec, K. (2015). The Role of Behavioral Diversity and Difficulty of Opponents in Coevolving Game-Playing Agents. In: Mora, A., Squillero, G. (eds) Applications of Evolutionary Computation. EvoApplications 2015. Lecture Notes in Computer Science(), vol 9028. Springer, Cham. https://doi.org/10.1007/978-3-319-16549-3_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-16549-3_32

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16548-6

  • Online ISBN: 978-3-319-16549-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics