Hierarchically Organized Minority Games

TL;DR

This paper introduces a hierarchical extension of the Minority Game, demonstrating through simulations that a unique form of global behavior emerges between different parts of the hierarchy connected via a mean field.

Contribution

The paper presents a novel hierarchical model of the Minority Game and explores emergent behaviors arising from its structure.

Findings

Emergent global behavior observed between hierarchical parts

Behavior linked through normalized mean field

Hierarchical structure influences game dynamics

Abstract

In this paper a hierarchical extension of the Minority Game is defined and studied. Numerical simulations show a special type of emergent global behavior between separated parts of the hierarchical structure, connected only through a normalized mean field quantity.