Evolutionary minority game wtih multiple options

Area of Science:

• Agent-Based Modeling
• Complex Systems Science
• Game Theory

Background:

• The original evolutionary minority game (EMG) involves agents choosing between two options.
• Agent wealth is typically modified based on winning or losing outcomes.

Purpose of the Study:

• To investigate a modified EMG with three choices and a nuanced payoff structure.
• To analyze how agent decision-making and population behavior change with varying reward parameters.

Main Methods:

• Agent-based simulation of the evolutionary minority game.
• Analysis of agent decision strategies based on recent outcomes and individual probabilities.
• Examination of population behavior transitions influenced by the parameter R.

Main Results:

• A transition in population behavior is observed, shifting from self-segregation to cautious action as R increases.
• The critical value R(c) determines this behavioral transition.
• System performance is optimal at R(c), which decreases with an increasing number of agents.

Conclusions:

• The modified EMG model exhibits rich behavioral dynamics dependent on the payoff parameter R.
• Agent decision-making and population-level phenomena are sensitive to reward structures.
• The study highlights the impact of game rules on emergent collective behavior in complex systems.