On Dynamical Cournot Game on a Graph
Cournot dynamical game is studied on a graph. The stability of the system is studied. Prisoner's dilemma game is used to model natural gas transmission.
cs.GT↗
arXiv subjects
H. A. A. El-Saka
Publications and source records attributed to H. A. A. El-Saka.
On applications of Ulam-Hyers stability in biology and economics
We argue that Ulam-Hyers stability concept is quite significant in realistic problems in numerical analysis, biology and economics. A generalization to nonlinear systems is proposed and applied to the logistic equation (both differential and difference), SIS epidemic model, Cournot model in economics and a reaction diffusion equation. To the best of our knowledge this is the first time Ulam-Hyers stability is considered from the applications point of view.
nlin.CD↗