A strategy-based proof of the existence of the value in zero-sum differential gamesReport as inadecuate




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1 Projet Combinatoire et Optimisation, IMJ, Paris 6 C&O - Equipe combinatoire et optimisation

Abstract : The value of a zero-sum differential games is known to exist, under Isaacs condition, as the unique viscosity solution of a Hamilton-Jacobi-Bellman equation. In this note we provide a new proof via the construction of ε-optimal strategies, which is inspired in the -extremal aiming- method from Krasovskii and Subbotin.

Keywords : game theory differential games optimal control viability





Author: Pablo Maldonado - Miquel Oliu-Barton -

Source: https://hal.archives-ouvertes.fr/



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