A single player and a mass of agents: a pursuit evasion-like game
Optimization and Control
2025-02-28 v3 Analysis of PDEs
Abstract
We study a finite-horizon differential game of pursuit-evasion like, between a single player and a mass of agents. The player and the mass directly control their own evolution, which for the mass is given by a first order PDE of transport equation type. Using also an adapted concept of non-anticipating strategies, we derive an infinite dimensional Isaacs equation, and by dynamic programming techniques we prove that the value function is the unique viscosity solution on a suitable invariant subset of a Hilbert space.
Keywords
Cite
@article{arxiv.2302.05742,
title = {A single player and a mass of agents: a pursuit evasion-like game},
author = {Fabio Bagagiolo and Rossana Capuani and Luciano Marzufero},
journal= {arXiv preprint arXiv:2302.05742},
year = {2025}
}