Effect of memory, intolerance, and second-order reputation on cooperation

Area of Science:

• Social dynamics
• Game theory
• Computational social science

Background:

• Cooperative behavior in social systems is a key research area.
• Theoretical models of cooperation are increasingly validated by experimental studies.

Purpose of the Study:

• To develop a theoretical model of cooperation based on second-order reputation and memory.
• To investigate the impact of different second-order assessment rules on cooperation dynamics.

Main Methods:

• Agent-based modeling using the donation game with three strategies: cooperators, defectors, and discriminators.
• Incorporation of second-order reputation mechanisms (shunning, stern judging, image scoring, simple standing) and memory.
• Mean-field approximation and Monte Carlo simulations to analyze macroscopic behavior.

Main Results:

• Intolerance negatively impacts cooperation in most second-order assessment rules, except for the 'simple standing' rule where it enhances cooperation.
• The 'stern judging' rule exhibits the lowest cooperation levels when memory is considered.
• Stricter reputation rules generally lead to higher cooperation levels.

Conclusions:

• Second-order reputation and memory are crucial drivers of cooperation.
• The specific assessment rule significantly influences cooperation outcomes, with 'simple standing' showing unique behavior regarding intolerance.
• Understanding these mechanisms is vital for explaining and promoting cooperation in social systems.