Applications of the Reflexive Game Theory

This book introduces advanced topics of the Reflexive Game Theory (RGT). The book consists of two parts. Part I introduces fundamentals of the RGT including formalism of the RGT Forward Task and Inverse Task of the RGT. Part II illustrates advanced topics of the RGT. A word advanced implies here that the RGT is fused with numerous auxiliary methods to achieve particular practical goals. The first topic is an extension of the RGT for the case of mixed groups of humans and robots. The second topic is the Multi-Stage Decision Making. The third topic is Emotional Reflexive Games born as a fusion of the RGT with Pleasure-Arousal-Dominance (PAD) model. The fourth topic is focused on the issue of establishing an exemplar communication system for autonomous units to enable them to create groups and influence on each others. The final topic is dedicated to the matter of social dynamics. The group dynamics is analyzed by means of Reflexive Markov Process with transition probabilities derived from the RGT inference.