Theory of the Three-Group Evolutionary Minority Game

Abstract

Based on the adiabatic theory for the evolutionary minority game (EMG) that we proposed earlier[1], we perform a detail analysis of the EMG limited to three groups of agents. We derive a formula for the critical point of the transition from segregation (into opposing groups) to clustering (towards cautious behaviors). Particular to the three-group EMG, the strategy switching in the "extreme" group does not occur at every losing step and is strongly intermittent. This leads to an correction to the critical value of the number of agents at the transition, $N_c$. Our expression for $N_c$ is in agreement with the results obtained from our numerical simulations.

4 pages and 2 figures

References in corpus (9)

• Emergence of Cooperation and Organization in an Evolutionary Game
• On the Minority Game : Analytical and Numerical Studies
• Self-Organized Segregation within an Evolving Population
• Self-Segregation vs. Clustering in the Evolutionary Minority Game
• Time-Dependent Random Walks and the Theory of Complex Adaptive Systems
• Temporal oscillations and phase transitions in the evolutionary minority game
• Theory of Phase Transition in the Evolutionary Minority Game
• Comment on "Self segregation versus clustering in the Evolutionary Minority Game"
• Strategy updating rules and strategy distributions in dynamical multiagent systems

Cited by in corpus (3)

• Evolutionary Dynamics and the Phase Structure of the Minority Game
• Coupled effects of market impact and asymmetric sensitivity in financial markets
• Self-organization and phase transition in financial markets with multiple choices