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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.


Example of a grid and the corresponding optimal trajectories for A1, A2, and B1, in the example Ice hockey; two against one.The offensive players are denoted by triangles, where a solid triangle marks the possession holder, and the defender is denoted by a circle. We use the shot potential model in Section Ice hockey; parametric isolines with parameters α = β = 0.2, λ = 0.03, qp = 0.1, and qc = 0.5.
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pone.0125453.g010: Example of a grid and the corresponding optimal trajectories for A1, A2, and B1, in the example Ice hockey; two against one.The offensive players are denoted by triangles, where a solid triangle marks the possession holder, and the defender is denoted by a circle. We use the shot potential model in Section Ice hockey; parametric isolines with parameters α = β = 0.2, λ = 0.03, qp = 0.1, and qc = 0.5.

Mentions: The grid for a specific example is given in Fig 10, where the filled circles and triangles indicate the optimal strategies. The trajectory of A1 depends on how much pressure B1 puts at level 1. Similarly, the trajectory of A2 is determined by the position of B1 at level 2. Note that the optimal strategy is S shaped, which is in line with the reasoning in Section Ice hockey; two against one.


Game intelligence in team sports.

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

Example of a grid and the corresponding optimal trajectories for A1, A2, and B1, in the example Ice hockey; two against one.The offensive players are denoted by triangles, where a solid triangle marks the possession holder, and the defender is denoted by a circle. We use the shot potential model in Section Ice hockey; parametric isolines with parameters α = β = 0.2, λ = 0.03, qp = 0.1, and qc = 0.5.
© Copyright Policy
Related In: Results  -  Collection

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

pone.0125453.g010: Example of a grid and the corresponding optimal trajectories for A1, A2, and B1, in the example Ice hockey; two against one.The offensive players are denoted by triangles, where a solid triangle marks the possession holder, and the defender is denoted by a circle. We use the shot potential model in Section Ice hockey; parametric isolines with parameters α = β = 0.2, λ = 0.03, qp = 0.1, and qc = 0.5.
Mentions: The grid for a specific example is given in Fig 10, where the filled circles and triangles indicate the optimal strategies. The trajectory of A1 depends on how much pressure B1 puts at level 1. Similarly, the trajectory of A2 is determined by the position of B1 at level 2. Note that the optimal strategy is S shaped, which is in line with the reasoning in Section Ice hockey; two against one.

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.