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Game dynamics of emotion evolution based on the Moran process.

Ya-Yun Dai1, Guang-Jie Zhan1, Ye Ye2

  • 1School of Management Science and Engineering, Anhui University of Technology, Ma'anshan 243002, Anhui, China.

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This study classifies emotions into four types and analyzes their impact on cooperation and competition. Emotional evolution promotes cooperation and enhances group fitness, outperforming traditional models like the prisoner's dilemma.

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Area of Science:

  • Evolutionary Game Theory
  • Social Psychology
  • Behavioral Economics

Background:

  • Emotions play a crucial role in social interactions and decision-making.
  • Understanding the evolutionary dynamics of emotions is key to explaining social behaviors.
  • Existing models often simplify emotional influences on cooperation and competition.

Purpose of the Study:

  • To classify emotions into four distinct types: respect for the strong, envying the strong, sympathy for the weak, and bullying the weak.
  • To define the relationship between these emotion types and behaviors like competition and cooperation.
  • To analyze the evolutionary dynamics and group fitness implications of these emotion-based interactions.

Main Methods:

  • Development of a 4x4 symmetric evolutionary game model incorporating four emotion types.
  • Utilizing the Moran process to study evolutionary dynamics in a finite population.
  • Derivation of absorption probabilities for different evolutionary states.
  • Analysis of payoff parameters and natural selection intensity effects.

Main Results:

  • Significant differences in absorption probabilities were observed among the four emotion types.
  • Individuals exhibiting 'envying the strong' and 'bullying the weak' emotions were more likely to dominate the population at a steady state.
  • Individuals exhibiting 'respect for the strong' and 'sympathy for the weak' emotions were less likely to dominate.
  • The proposed emotion-based model demonstrated higher levels of cooperation and average payoffs compared to the prisoner's dilemma.

Conclusions:

  • Emotional evolution significantly influences group dynamics and cooperation levels.
  • The 'envying' and 'bullying' emotional strategies can lead to population dominance but may not necessarily optimize group fitness.
  • Incorporating a broader spectrum of emotions into evolutionary game models can reveal pathways to enhanced cooperation and overall group well-being.
  • Emotional evolution offers a promising framework for promoting cooperation and improving collective outcomes in social systems.