How to play macroscopic quantum game

TL;DR

This paper demonstrates how nondistributive orthomodular lattices, characteristic of quantum systems, can be realized in macroscopic scenarios without involving quantum particles, expanding the scope of quantum game theory.

Contribution

It introduces macroscopic examples of nondistributive lattices, showing quantum-like structures can emerge outside microscopic quantum systems.

Findings

Nondistributive orthomodular lattices can be constructed in macroscopic contexts.

Quantum probabilistic measures are not exclusive to microscopic quantum systems.

Macroscopic systems can exhibit quantum-like strategic behavior.

Abstract

Quantum games are usually considered as games with strategies defined not by the standard Kolmogorovian probabilistic measure but by the probability amplitude used in quantum physics. The reason for the use of the probability amplitude or "quantum probabilistic measure", is the nondistributive lattice occurring in physical situations with quantum microparticles. In our paper we give examples of getting nondistributive orthomodular lattices in some special macroscopic situations without use of quantum microparticles.