Last minute panic in zero sum games
ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 25.

We set up a game theoretical model to analyze the optimal attacking intensity of sports teams during a game. We suppose that two teams can dynamically choose among more or less offensive actions and that the scoring probability of each team depends on both teams’ actions. We assume a zero sum setting and characterize a Nash equilibrium in terms of the unique solution of an Isaacs equation. We present results from numerical experiments showing that a change in the score has a strong impact on strategies, but not necessarily on scoring intensities. We give examples where strategies strongly depend on the score, the scoring intensities not at all.

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2018015
Classification : 49K35, 49M25, 91A05
Mots-clés : Nash equilibrium, Isaacs equation, Zero-sum games
Ankirchner, Stefan 1 ; Blanchet-Scalliet, Christophette 1 ; Kümmel, Kai 1

1 
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Ankirchner, Stefan; Blanchet-Scalliet, Christophette; Kümmel, Kai. Last minute panic in zero sum games. ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 25. doi : 10.1051/cocv/2018015. http://www.numdam.org/articles/10.1051/cocv/2018015/

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