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Game intelligence in team sports.

Lennartsson J, Lidström N, Lindberg C - PLoS ONE (2015)

Bottom Line: A fundamental idea is the concept of potential; the probability of the offense scoring the next goal minus the probability that the next goal is made by the defense.We develop categorical as well as continuous models, and obtain optimal strategies for both offense and defense.A main result is that the optimal defensive strategy is to minimize the maximum potential of all offensive strategies.

View Article: PubMed Central - PubMed

Affiliation: Chalmers University of Technology and Gothenburg University, Sweden.

ABSTRACT
We set up a game theoretic framework to analyze a wide range of situations from team sports. A fundamental idea is the concept of potential; the probability of the offense scoring the next goal minus the probability that the next goal is made by the defense. We develop categorical as well as continuous models, and obtain optimal strategies for both offense and defense. A main result is that the optimal defensive strategy is to minimize the maximum potential of all offensive strategies.

No MeSH data available.


The potential functions for the example Team handball; wing change over.The potential for a lb start (red) and a center start (blue), respectively, given that r1 moves up court. For reference, the potential of the situation where r1 stays flat (green) is displayed, even though it is not a function of y.
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pone.0125453.g003: The potential functions for the example Team handball; wing change over.The potential for a lb start (red) and a center start (blue), respectively, given that r1 moves up court. For reference, the potential of the situation where r1 stays flat (green) is displayed, even though it is not a function of y.

Mentions: In order to illustrate the optimality principle, we let the potential functions be linear in the distance that r1 lifts from the field line, where vb(y) decreases and vc(y) increases with respect to the how far up court r1 moves, see Fig 3.


Game intelligence in team sports.

Lennartsson J, Lidström N, Lindberg C - PLoS ONE (2015)

The potential functions for the example Team handball; wing change over.The potential for a lb start (red) and a center start (blue), respectively, given that r1 moves up court. For reference, the potential of the situation where r1 stays flat (green) is displayed, even though it is not a function of y.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4430496&req=5

pone.0125453.g003: The potential functions for the example Team handball; wing change over.The potential for a lb start (red) and a center start (blue), respectively, given that r1 moves up court. For reference, the potential of the situation where r1 stays flat (green) is displayed, even though it is not a function of y.
Mentions: In order to illustrate the optimality principle, we let the potential functions be linear in the distance that r1 lifts from the field line, where vb(y) decreases and vc(y) increases with respect to the how far up court r1 moves, see Fig 3.

Bottom Line: A fundamental idea is the concept of potential; the probability of the offense scoring the next goal minus the probability that the next goal is made by the defense.We develop categorical as well as continuous models, and obtain optimal strategies for both offense and defense.A main result is that the optimal defensive strategy is to minimize the maximum potential of all offensive strategies.

View Article: PubMed Central - PubMed

Affiliation: Chalmers University of Technology and Gothenburg University, Sweden.

ABSTRACT
We set up a game theoretic framework to analyze a wide range of situations from team sports. A fundamental idea is the concept of potential; the probability of the offense scoring the next goal minus the probability that the next goal is made by the defense. We develop categorical as well as continuous models, and obtain optimal strategies for both offense and defense. A main result is that the optimal defensive strategy is to minimize the maximum potential of all offensive strategies.

No MeSH data available.