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Focuses on the analysis, optimization and controllability of timediscrete dynamical systems and games under the aspect of stability, controllability and (for games) cooperative and noncooperative treatment. The investigation of stability is based on Lyapunov's method which is generalized to nonautonomous systems. Optimization and controllability of dynamical systems is treated, among others, with the aid of mapping theorems such as implicit function theorem and inverse mapping theorem. Dynamical games are treated as cooperative and noncooperative games and are used in order to deal with the problem of carbon dioxide reduction under economic aspects. The theoretical results are demonstrated by various applications.
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