%0 Journal Article
	%A Weihua Ruan and  Kuan-Chou Chen
	%D 2017
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 127, 2017
	%T A Study of Hamilton-Jacobi-Bellman Equation Systems Arising in Differential Game Models of Changing Society
	%U https://publications.waset.org/pdf/10008144
	%V 127
	%X This paper is concerned with a system of
Hamilton-Jacobi-Bellman equations coupled with an autonomous
dynamical system. The mathematical system arises in the differential
game formulation of political economy models as an infinite-horizon
continuous-time differential game with discounted instantaneous
payoff rates and continuously and discretely varying state variables.
The existence of a weak solution of the PDE system is proven and
a computational scheme of approximate solution is developed for a
class of such systems. A model of democratization is mathematically
analyzed as an illustration of application.
	%P 320 - 333