Skip to main content

Further Investigations of 3-Member Simple Majority Voting for Chess

  • Conference paper
  • First Online:
Computers and Games (CG 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8427))

Included in the following conference series:

Abstract

The 3-member simple majority voting is investigated for the game of Chess. The programs Stockfish, TogaII, andBobcat are used. Games are played against the strongest member of the group and against the group using simple majority voting. We show that the group is stronger than the strongest program. Subsequently, we investigate the research question, “under what conditions is 3-member simple majority voting stronger than the strongest member?” To answer this question we perform experiments on 27 groups. Statistics are gathered on the situations where the group outvoted the group leader. We found two conditions as an answer to the research question. First, group members should be almost equal in strength whilst still showing a small, but significant strength difference. Second, the denial percentage of the leaders candidate move depends on the strength of the members.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Notes

  1. 1.

    http://wbec-ridderkerk.nl/html/UCIProtocol.html

References

  1. Cook, D.: A human-computer team experiment for 9x9 go. In: van den Herik, H.J., Iida, H., Plaat, A. (eds.) CG 2010. LNCS, vol. 6515, pp. 145–155. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  2. Shaw, M.E.: Comparison of individuals and small groups in the rational solution of complex problems. Am. J. Psychol. 44, 491–504 (1932)

    Article  Google Scholar 

  3. Althöfer, I.: Selective trees and majority systems: two experiments with commercial chess computers. In: Advances in Computer Chess 6, pp. 37–59 (1991)

    Google Scholar 

  4. Althöfer, I.: Improved game play by multiple computer hints. Theor. Comput. Sci. 313, 315–324 (2004)

    Article  MATH  Google Scholar 

  5. Hanawa M., Ito, T.: The optimal consultation system in a thought algorithm. In: The 3rd Symposium of Entertainment and Cognitive Science, pp. 72–75 (2009) (in Japanese)

    Google Scholar 

  6. Littlestone, N., Warmuth, M.: The weighted majority algorithm. In: Annual Symposium on Foundations of Computer Science (FOCS 1989), pp. 256–261 (1989)

    Google Scholar 

  7. Triplett, N.: The dynamogenic factors in pacemaking and competition. Am. J. Psychol. 9, 507–533 (1898)

    Article  Google Scholar 

  8. Omori S., Hoki K., Ito, T.: Consultation algorithm for computer chess. Technical report 2011-GI-26(5), pp. 1–7 (2011) (in Japanese)

    Google Scholar 

  9. Obata, T., Sugiyama, T., Hoki, K., Ito, T.: Consultation algorithm for computer shogi: move decisions by majority. In: van den Herik, H.J., Iida, H., Plaat, A. (eds.) CG 2010. LNCS, vol. 6515, pp. 156–165. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  10. Sato Y., Cincotti A., Iida H.: An analysis of voting algorithm in games. In: Computer Games Workshop at European Conference on Artificial Intelligence (ECAI) 2012, pp. 102–113 (2012)

    Google Scholar 

Download references

Acknowledgments

We would like to thank the anonymous referees for valuable comments that helped to improve this paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kristian Toby Spoerer .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Spoerer, K.T., Okaneya, T., Ikeda, K., Iida, H. (2014). Further Investigations of 3-Member Simple Majority Voting for Chess. In: van den Herik, H., Iida, H., Plaat, A. (eds) Computers and Games. CG 2013. Lecture Notes in Computer Science(), vol 8427. Springer, Cham. https://doi.org/10.1007/978-3-319-09165-5_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-09165-5_17

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09164-8

  • Online ISBN: 978-3-319-09165-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics