Geometry, language and strategy. Volume 2: The dynamics of decision processes. With a foreword by Louis H. Kauffman. (Q2826581)

This book is the second volume of ``Geometry, language and strategy''. In the foreword to the first volume [Zbl 1099.91027], L. H. Kauffman wrote: ``This is a most unusual book, breaking new ground in the theory of games.''NEWLINENEWLINEA deterministic model of decisions is developed using methods of differential geometry. The book consists of three parts: Physical and game theory foundations, Decision engineering, and Active strategy systems.NEWLINENEWLINEIn the first part, models of Newtonian mechanics, electromagnetism and other physical models are considered demonstrating their relation to the decision processes. In the second part the results of the first part are applied to several scenarios of the prisoner's dilemma including the Robinson Crusoe economics. The second part is completed with three chapters of a review type: Short historical review of game theory, Decisions and determinism, and Global system view. The third part is focused on the active strategies, two-person games, and structural and social distinctions for decision processes.