Game theory with integral equations as state dynamics
Optimization and Control
2019-06-27 v1
Abstract
We formulate and analyze game-theoretic problems for systems governed by integral equations. For Volterra integral equations, we obtain and prove necessary and sufficient conditions for linear-quadratic problems, and for problems that are linear-quadratic in the control. Also, we obtain necessary conditions for one type of pursuit-evasion Volterra games.
Cite
@article{arxiv.1906.10778,
title = {Game theory with integral equations as state dynamics},
author = {S. A. Belbas},
journal= {arXiv preprint arXiv:1906.10778},
year = {2019}
}