@article{(Open Science Index):https://publications.waset.org/pdf/10008144, title = {A Study of Hamilton-Jacobi-Bellman Equation Systems Arising in Differential Game Models of Changing Society}, author = {Weihua Ruan and Kuan-Chou Chen}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {11}, number = {7}, year = {2017}, pages = {320 - 333}, ee = {https://publications.waset.org/pdf/10008144}, url = {https://publications.waset.org/vol/127}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 127, 2017}, }