TITLE

Modeling Tactical Changes of Formation in Association Football as a Non-Zero-Sum Game

AUTHOR(S)
Nobuyoshi Hirotsu; Masamitsu Ito; Chikara Miyaji; Koji Hamano; Azuma Taguchi
PUB. DATE
July 2009
SOURCE
Journal of Quantitative Analysis in Sports;Jul2009, Vol. 5 Issue 3, p1138
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In football leagues, a won match produces three points (all for the winner) whereas a drawn match produces only two (one for each team). Here, the total resource from the viewpoint of league points is not constant and the gain of the match for both teams changes depending on the result of the match. To cater for this situation, we propose a formulation for modelling tactical changes of formation in an association football match as a non-zero-sum game using game theory. In this paper, we focus on two well-known teams in the J. League and analyse their offensive and defensive strengths based on their formation, i.e., a combination of the number of each type of outfield player on the pitch. Using these estimated offensive and defensive strengths, we develop the mathematical formulation for analyzing tactical changes of these teams' formations from the viewpoint to increase their expected number of league points gained in a match, and quantitatively demonstrate not only the effect of the introduction of the league point system on the tactical change, but also the effect of cooperation between managers which could make both teams benefit in terms of the expected number of league points gained in a match.
ACCESSION #
43981070

 

Related Articles

  • Lobo boys capture cup. Caul, Mark // Hays Free Press (Buda, TX);1/13/2010, Vol. 106 Issue 41, p1B 

    The article reports on the 1-0 lead of Lobo boys team against Hays team in the soccer Rebel Cup in Texas.

  • Plzeň takes out Sparta 3-1. SMITH, MARK // Prague Post;3/7/2012 supplement, pB18 

    The article reports on the failure of Sparta Praha soccer team to attain a Gambrinus liga title after their defeat to defending champions Victoria Plzeň on their game in Prague, Czech Republic on March 3, 2012.

  • U-10 girls win tournament gold, go undefeated in second season. Leborgne, Brittany // Eastern Door;8/27/2010, Vol. 19 Issue 33, p27 

    The article reports on the victory attained by the U-10 Mohawks girls soccer team during the Lakeshore Soccerfest 2010 in Kahnawake, Quebec.

  • Top-ranked Priory blanks St. Dominic. Faasen, Jim // Wentzville Journal;11/16/2011, Vol. 49 Issue 81, pC1 

    The article reports on the victory of soccer team Priory over Saint Dominic in the Class 2 quarterfinal game in Missouri.

  • Tucker's header send DeSmet to state semifinals. Lyons, Joe // Wentzville Journal;11/16/2011, Vol. 49 Issue 81, pC1 

    The article reports on the victory of soccer team DeSmet over Francis Howell in Class 3 quarterfinal game in Missouri.

  • Oakville makes lone goal stand for return to state. Marion, Scott // Wentzville Journal;11/16/2011, Vol. 49 Issue 81, pC4 

    The article reports on the victory of soccer team Oakville over Howell Central in the Class 3 quarterfinal game in Missouri.

  • Tigers look solid despite losses. Marion, Scott // Collinsville Herald;10/5/2011, Vol. 53 Issue 50, pC1 

    The article reports on the Tigers, the Edwardsville, Illinois soccer team, and highlights its loss in a pair of games by a combined score of 10-0 on September 24, 2011 against Peoria Notre Dame and on September 26, 2011 against CBC.

  • Warriors seek more scoring punch after 1-2 finish in tourney. Marion, Scott // Collinsville Herald;10/5/2011, Vol. 53 Issue 50, pC3 

    The article reports on the progress being made by the Granite City soccer team from Illinois as of October 2011 and highlights its 3-1 loss to Cape Girardeau and its 2-0 victory over Dunlap.

  • Hays soccer teams open district with victories.  // Hays Free Press (Buda, TX);2/ 8/2012, Vol. 109 Issue 44, p1B 

    The article reports on the victory of Hays High varsity soccer teams against LaGrange during the district season in Texas.

Share

Read the Article

Courtesy of NEW JERSEY STATE LIBRARY

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics