A Numerical Analysis for Pursuit-Evasion Games under the Stackelberg Eqilibrium
Abstract
This study presents a numerical analysis framework for pursuit--evasion differential games under the Stackelberg equilibrium. The Semi-DCNLP method is introduced as an optimization solver for flight path optimization problems formulated under the Stackelberg equilibrium. In a spacecraft pursuit-evasion differential game, the Semi-DCNLP method produces trajectories that closely match those obtained with a shooting method. This agreement supports the validity of the proposed approach.
Keywords
Cite
@article{arxiv.2604.17742,
title = {A Numerical Analysis for Pursuit-Evasion Games under the Stackelberg Eqilibrium},
author = {Kazuhiro Horie},
journal= {arXiv preprint arXiv:2604.17742},
year = {2026}
}
Comments
15 pages, 6 figures. English translation of a paper originally published in Japanese in the Journal of the Japan Society for Aeronautical and Space Sciences, Vol.63, No.5, pp.204--209 (2015). This version is posted on arXiv to improve accessibility and facilitate broader to dissemination to an international audience