Chaos and Nonlinear Dynamics in a Quantum Artificial Economy

TL;DR

This paper explores how quantum chaos theory can be applied to analyze complex, nonlinear economic dynamics modeled through a quantum coupled map lattice, revealing chaotic patterns in economic variables.

Contribution

It introduces a quantum coupled map lattice model for an artificial economy, integrating quantum chaos theory to analyze economic dynamics and identify signatures of chaos.

Findings

Chaotic patterns observed in economic variables

Quantum mean field averages exhibit signatures of chaos

Application of quantum chaos theory to economic modeling

Abstract

Chaos and nonlinear economic dynamics are addressed for a quantum coupled map lattice model of an artificial economy, with quantized supply and demand equilibrium conditions. The measure theoretic properties and the patterns that emerge in both the economic business volume dynamics' diagrams as well as in the quantum mean field averages are addressed and conclusions are drawn in regards to the application of quantum chaos theory to address signatures of chaotic dynamics in relevant discrete economic state variables.