Understanding Money Distribution in Closed Economic Systems: A Graph Theoretical Approach with Quantum Random Walks

In this article, we explore money distribution in closed economic systems, where the number of economic agents is constant and the total amount of money is conserved. We simulate these systems through graph theory, representing economic agents as vertices connected by edges that signify possible transactions. In our model, these transactions follow a quantum random walk. We apply different attributes of the graph, such as vertex connectivity, vertex degree, and global clustering coefficient, to understand their impact on the Gini coefficient, a measure of wealth inequality.