We discuss the general framework of a stochastic two-player, hybrid differential game, and we apply it to the modelling of a “match race” between two sailing boats, namely a competition in which the goal of both players is to proceed in the windward direction, while trying to slow down the other player. We provide a convergent approximation scheme for the computation of the value function of the game, and we validate the approach on some typical racing scenarios.
Stochastic hybrid differential games and match race problems / Cacace, S.; Ferretti, R.; Festa, A.. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 0096-3003. - 372:(2020), p. 124966. [10.1016/j.amc.2019.124966]
Stochastic hybrid differential games and match race problems
Cacace S.;
2020
Abstract
We discuss the general framework of a stochastic two-player, hybrid differential game, and we apply it to the modelling of a “match race” between two sailing boats, namely a competition in which the goal of both players is to proceed in the windward direction, while trying to slow down the other player. We provide a convergent approximation scheme for the computation of the value function of the game, and we validate the approach on some typical racing scenarios.| File | Dimensione | Formato | |
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