Stochastic hybrid differential games and match race problems
Numerical Analysis
2019-06-27 v1 Numerical Analysis
Optimization and Control
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.
Keywords
Cite
@article{arxiv.1906.10968,
title = {Stochastic hybrid differential games and match race problems},
author = {Simone Cacace and Roberto Ferretti and Adriano Festa},
journal= {arXiv preprint arXiv:1906.10968},
year = {2019}
}