Graphs, Dynamic Programming and Finite Games (Enhanced Edition‪)‬

The last two decades have seen an awesome development of mathematical theories focusing on decision-making and control theory. What is so remarkable about these new theories is their unifying effects in mathematics itself. Whereas many other subdisciplines have tended to become highly specialized, generating arcane languages with a narrow, intense focus of interest, control theory and decision-making have grown wider and wider, requiring all of the resources of modern mathematics, analysis, algebra, and topology for their effective treatment. Furthermore, the requirement of obtaining numerical answers to numerical questions demands a study of numerical analysis and analog and digital computers which, in turn, brings in questions of logic and the theory of algorithms. The study of adaptive control processes forces one into contact with psychology, neurophysiology, and so on, and so on.