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The Reflexive Game Theory (RGT) has been recently proposed by VladimirLefebvre to model behavior of individuals in groups. The goal of this study isto introduce the Inverse task. We consider methods of solution together withpractical applications. We present a brief overview of the RGT for easyunderstanding of the problem. We also develop the schematic representation ofthe RGT inference algorithms to create the basis for soft- and hardwaresolutions of the RGT tasks. We propose a unified hierarchy of schemas torepresent humans and robots. This hierarchy is considered as a unifiedframework to solve the entire spectrum of the RGT tasks. We conclude byillustrating how this framework can be applied for modeling of mixed groups ofhumans and robots. All together this provides the exhaustive solution of theInverse task and clearly illustrates its role and relationships with otherissues considered in the RGT.

The Inverse Task of the Reflexive Game Theory: Theoretical Matters, Practical Applications and Relationship with Other Issues