A Numerical Analysis for Pursuit-Evasion Games under the Stackelberg Eqilibrium

Kazuhiro Horie

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arXiv · 2604.17742

A Numerical Analysis for Pursuit-Evasion Games under the Stackelberg Eqilibrium

Kazuhiro Horie

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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.

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Kazuhiro Horie. 2026-04-20. A Numerical Analysis for Pursuit-Evasion Games under the Stackelberg Eqilibrium. https://arxiv.org/abs/2604.17742

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