Quantum realization of extensive games

TL;DR

This paper extends classical finite extensive games into the quantum domain, providing a generalized realization scheme compatible with existing quantum static game models, demonstrated through two examples.

Contribution

It introduces a novel quantum realization framework for finite extensive games, bridging classical game theory with quantum information science.

Findings

Successfully generalizes static quantum game schemes to extensive games

Provides a compatible framework for classical and quantum game integration

Demonstrates the approach with two illustrative examples

Abstract

We generalize a concept of classical finite extensive game to make it useful for application of quantum objects. The generalization extends a quantum realization scheme of static games to any finite extensive game. It represents an extension of any classical finite extensive games to the quantum domain. In addition our model is compatible with well-known quantum schemes of static games. The paper is summed up by two examples.