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

TL;DR

This paper introduces the inverse task in Reflexive Game Theory, proposing solution methods, practical applications, and a unified framework for modeling human and robot interactions within group dynamics.

Contribution

It presents the first comprehensive approach to the inverse problem in RGT, including algorithms, a hierarchical schema framework, and applications to mixed human-robot groups.

Findings

Developed inference algorithms for the inverse RGT task.

Proposed a unified hierarchy for humans and robots.

Demonstrated applications in modeling mixed groups.

Abstract

The Reflexive Game Theory (RGT) has been recently proposed by Vladimir Lefebvre to model behavior of individuals in groups. The goal of this study is to introduce the Inverse task. We consider methods of solution together with practical applications. We present a brief overview of the RGT for easy understanding of the problem. We also develop the schematic representation of the RGT inference algorithms to create the basis for soft- and hardware solutions of the RGT tasks. We propose a unified hierarchy of schemas to represent humans and robots. This hierarchy is considered as a unified framework to solve the entire spectrum of the RGT tasks. We conclude by illustrating how this framework can be applied for modeling of mixed groups of humans and robots. All together this provides the exhaustive solution of the Inverse task and clearly illustrates its role and relationships with other issues considered in the RGT.