Skip to main content
SpringerLink
Log in

Analysis of Strategies in American Football Using Nash Equilibrium

  • Conference paper
Artificial Intelligence: Methodology, Systems, and Applications (AIMSA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8722))

Abstract

In this paper, the analysis of American football strategies is by applying Nash equilibrium. Up to the offensive or defensive team-role, each player usually practices the relevant plays for his role; each play is qualified regarding the benefit that could add to the team success. The team’s strategies, that join the individual’s plays, are identified by means of the strategy profiles of a normal game formal setting of American football, and valued by the each player’s payoff function. Hence, the Nash equilibrium strategy profiles can be identified and used for the actions decision making in a match gaming.

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

Access this chapter

Log in via an institution
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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Baker, R.D., McHale, I.G.: Forecasting exact scores in National Football League games. Int. J. Forecasting 29, 122–130 (2013)

    Article  Google Scholar 

  2. Gonzalez, A.J., Gross, D.L.: Learning tactics from a sports game-based simulation. Int. J. Comput. Simul. 5, 127–148 (1995)

    Google Scholar 

  3. Song, C., Boulier, B.L., Stekler, H.O.: The comparative accuracy of judgmental and model forecasts of American football games. Int. J. Forecasting 23, 405–413 (2007)

    Article  Google Scholar 

  4. Alaways, L.W., Hubbard, M.: Experimental determination of baseball spin and lift. J. Sport Sci. 19, 349–358 (2001)

    Article  Google Scholar 

  5. Jinji, T., Sakurai, S., Hirano, Y.: Factors determining the spin axis of a pitched fastball in baseball. J. Sport Sci. 29, 761–767 (2011)

    Article  Google Scholar 

  6. MacMahon, C., Starkes, J.L.: Contextual influences on baseball ball-strike decisions in umpires, players, and controls. J. Sport Sci. 26, 751–760 (2008)

    Article  Google Scholar 

  7. Alvarado, M., Rendón, A.Y.: Nash equilibrium for collective strategic reasoning. Expert Syst. Appl. 39, 12014–12025 (2012)

    Article  Google Scholar 

  8. Deutsch, S.J., Bradburn, P.M.: A simulation model for American football plays. Appl. Math. Model. 5, 13–23 (1981)

    Article  Google Scholar 

  9. McGrew, A.G., Wilson, M.J.: Decision making: approaches and analysis. Manchester University Press (1982)

    Google Scholar 

  10. Alvarado, M., Yee, A., Fernández, J.: Simulation of American football gaming. Advances in Sport Science and Computer Science 57, 227 (2014)

    Article  Google Scholar 

  11. American Football Coaches Association: Offensive Football Strategies. Human Kinetics, Champaign, IL (2000)

    Google Scholar 

  12. Camp, W., Badgley, C.S.: American Football. Createspace Independent Pub. (2009)

    Google Scholar 

  13. Gifford, C.: American Football Tell me about Sport. Evans Publishing, London (2009)

    Google Scholar 

  14. Nash, J.: Non-Cooperative Games. The Annals of Mathematics 54, 286–295 (1951)

    Article  MATH  MathSciNet  Google Scholar 

  15. http://www.nfl.com/

Download references

Author information

Authors and Affiliations

  1. Computer Sciences Department, Center of Research and Advances Studies, México D.F., Mexico

    Arturo Yee, Reinaldo Rodríguez & Matías Alvarado

Authors
  1. Arturo Yee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Reinaldo Rodríguez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Matías Alvarado
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Information and Communication, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Gennady Agre

  2. Department of Computer Science, Wright State University, Dayton, OH, USA

    Pascal Hitzler

  3. Wright State University, Dayton, OH, USA

    Adila A. Krisnadhi

  4. Higher School of Economics, National Research University, Moscow, Russia

    Sergei O. Kuznetsov

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Yee, A., Rodríguez, R., Alvarado, M. (2014). Analysis of Strategies in American Football Using Nash Equilibrium. In: Agre, G., Hitzler, P., Krisnadhi, A.A., Kuznetsov, S.O. (eds) Artificial Intelligence: Methodology, Systems, and Applications. AIMSA 2014. Lecture Notes in Computer Science(), vol 8722. Springer, Cham. https://doi.org/10.1007/978-3-319-10554-3_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-10554-3_30

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10553-6

  • Online ISBN: 978-3-319-10554-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation