Conditional imitation might promote cooperation under high temptations to defect.

Area of Science:

• Evolutionary Game Theory
• Behavioral Economics
• Computational Social Science

Background:

• Cooperation is crucial in social dilemmas but challenging to maintain.
• Traditional evolutionary game models often fail to capture nuanced human decision-making.
• Understanding factors influencing cooperation is vital for social stability.

Purpose of the Study:

• To introduce and analyze a conditional imitation rule in evolutionary games.
• To investigate the impact of individual goals (μ) and tolerance (σ) on cooperation dynamics.
• To explore anomalous cooperation enhancement and its dependence on temptation.

Main Methods:

• Development of a conditional imitation rule based on payoff differences, individual goals (μ), and tolerance (σ).
• Application of the pair approximation method for theoretical analysis.
• Conducting numerical simulations to validate findings and explore parameter space.

Main Results:

• Observed anomalous cooperation enhancement where cooperation levels vary nonmonotonically with increasing temptation.
• Parameter μ influences the payoff conditions supporting enhanced cooperation.
• Parameter σ critically determines the emergence of nonmonotonic cooperation variations.

Conclusions:

• The conditional imitation rule, incorporating individual goals and tolerance, can promote higher cooperation levels, even in adverse environments.
• An alternative form of the rule, based on benefit/cost, provides a phenomenological interpretation of nonmonotonic cooperation.
• This approach offers a potential strategy for maintaining cooperation in risky social and economic contexts.