Lennartsson Jan, Lidström Nicklas, Lindberg Carl
Chalmers University of Technology and Gothenburg University, Sweden.
Independent Researcher, Vasteras, Sweden.
PLoS One. 2015 May 13;10(5):e0125453. doi: 10.1371/journal.pone.0125453. eCollection 2015.
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.
我们建立了一个博弈论框架，以分析团队运动中的各种情况。一个基本概念是潜力；进攻方打进下一个球的概率减去防守方打进下一个球的概率。我们开发了分类模型和连续模型，并获得了进攻和防守的最优策略。一个主要结果是，最优防守策略是将所有进攻策略的最大潜力最小化。
