Stochastic evolutionary dynamics of trust games with asymmetric parameters

Area of Science:

• Evolutionary Game Theory
• Social Dynamics
• Behavioral Economics

Background:

• Trust and trustworthiness are vital for societal success.
• The trust game models economic interactions, but deterministic models fail to explain observed trustworthy behavior.
• Previous explanations often incorporate external mechanisms, which may not yield optimal trustworthiness.

Purpose of the Study:

• To investigate the impact of asymmetric demographic parameters, specifically population sizes, on the evolutionary dynamics of the trust game.
• To determine if asymmetry can explain the emergence of trust and trustworthiness without additional game mechanics.
• To explore novel evolutionary dynamics in asymmetric trust games.

Main Methods:

• Utilizing stochastic evolutionary dynamics within a weak-mutation limit.
• Analyzing game dynamics in well-mixed finite populations with varying demographic parameters.
• Comparing simulation results with predictions from deterministic models and prior research.

Main Results:

• Asymmetric demographic parameters can lead to the evolution of high trust and trustworthiness.
• Full trust and near-full trustworthiness emerge as the most common strategies under these conditions.
• These outcomes are achieved without relying on mechanisms borrowed from other games.

Conclusions:

• Asymmetric population sizes introduce rich evolutionary dynamics into the trust game.
• The study provides a novel explanation for the prevalence of trust and trustworthiness in societies.
• Findings challenge existing models and highlight the importance of demographic factors in social behavior.