Skip to main content

An Analysis of Majority Voting in Homogeneous Groups for Checkers: Understanding Group Performance Through Unbalance

  • Conference paper
  • First Online:
  • 926 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10664))

Abstract

Experimental evidence and theoretical advances over the years have created an academic consensus regarding majority voting systems, namely that, under certain conditions, the group performs better than its components. However, the underlying reason for such conditions, e.g., stochastic independence of agents, is not often explored and may help to improve performance in known setups by changing agent behavior, or find new ways of combining agents to take better advantage of their characteristics. In this work, an investigation is conducted for homogeneous groups of independent agents playing the game of Checkers. The analysis aims to find the relationship between the change in performance caused by majority voting, the group size, and the underlying decision process of each agent, which is mapped to its source of non-determinism. A characteristic unbalance in Checkers, due to an apparent initiative disadvantage, serves as a pivot for the study, from which decisions can be separated into beneficial or detrimental biases. Experimental results indicate that performance changes caused by majority voting may be beneficial or not, and are linked to the game properties and player skill. Additionally, a way of improving agent performance by manipulating its non-determinism source is briefly explored.

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

Buying options

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

Learn about institutional subscriptions

Notes

  1. 1.

    http://www.usacheckers.com/internationalmatchresults.php.

  2. 2.

    https://github.com/johncheetham/samuel.

  3. 3.

    http://www.3dkingdoms.com/checkers.htm.

References

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

    Article  Google Scholar 

  2. Hackman, J.R., Morris, C.G.: Group tasks, group interaction process, and group performance effectiveness: a review and proposed integration. Adv. Exp. Soc. Psychol. 8, 45–99 (1975)

    Article  Google Scholar 

  3. Woolley, A.W., Chabris, C.F., Pentland, A., Hashmi, N., Malone, T.W.: Evidence for a collective intelligence factor in the performance of human groups. Science 330(6004), 686–688 (2010)

    Article  Google Scholar 

  4. Webber, R.A.: The relation of group performance to the age of members in homogeneous groups. Acad. Manag. J. 17, 570–574 (1974)

    Article  Google Scholar 

  5. Schaeffer, J., Burch, N., Björnsson, Y., Kishimoto, A., Müller, M., Lake, R., Lu, P., Sutphen, S.: Checkers is solved. Science 317(5844), 1518–1522 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  6. Thiele, R., Althöfer, I.: An analysis of majority systems with dependent agents in a simple subtraction game. In: Plaat, A., Kosters, W., van den Herik, J. (eds.) CG 2016. LNCS, vol. 10068, pp. 202–211. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-50935-8_19

    Chapter  Google Scholar 

  7. Spoerer, K., Sirivichayakul, T., Iida, H.: Homogeneous group performance in chess. Procedia Technol. 11, 1272–1276 (2013)

    Article  Google Scholar 

  8. Spoerer, K.T., Okaneya, T., Ikeda, K., Iida, H.: Further investigations of 3-member simple majority voting for chess. In: van den Herik, H.J., Iida, H., Plaat, A. (eds.) CG 2013. LNCS, vol. 8427, pp. 199–207. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-09165-5_17

    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). https://doi.org/10.1007/978-3-642-17928-0_15

    Chapter  Google Scholar 

  10. Hoki, K., Kaneko, T., Yokoyama, D., Obata, T., Yamashita, H., Tsuruoka, Y., Ito, T.: A system-design outline of the distributed-Shogi-system Akara 2010. In: Proceedings of the 14th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing (SNPD). IEEE, pp. 466–471 (2013)

    Google Scholar 

  11. Hoki, K., Omori, S., Ito, T.: Analysis of performance of consultation methods in computer chess. J. Inf. Sci. Eng. 30, 701–712 (2014)

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  13. Lorge, I., Solomon, H.: Two models of group behavior in the solution of Eureka-type problems. Psychometrika 20, 139–148 (1955)

    Article  Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Danilo S. Carvalho .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Carvalho, D.S., Nguyen, M.L., Iida, H. (2017). An Analysis of Majority Voting in Homogeneous Groups for Checkers: Understanding Group Performance Through Unbalance. In: Winands, M., van den Herik, H., Kosters, W. (eds) Advances in Computer Games. ACG 2017. Lecture Notes in Computer Science(), vol 10664. Springer, Cham. https://doi.org/10.1007/978-3-319-71649-7_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-71649-7_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-71648-0

  • Online ISBN: 978-3-319-71649-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics