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Coevolution of teaching ability and cooperation in spatial evolutionary games.

Shuhua Zhang1, Zhipeng Zhang2, Yu'e Wu2

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Reputation influences social strategy adoption in evolutionary games. Higher reputation enhances cooperation, promoting its emergence and sustainability in various game dynamics and network structures.

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Area of Science:

  • Evolutionary Game Theory
  • Social Dynamics
  • Computational Social Science

Background:

  • Reputation significantly impacts social interactions and strategy diffusion.
  • Individual behavior dynamically alters reputation, affecting teaching abilities and strategy adoption.
  • Understanding reputation's role is crucial for explaining cooperation in social systems.

Purpose of the Study:

  • To investigate how reputation-based teaching abilities influence cooperation in spatial evolutionary games.
  • To model the effect of reputation on strategy updating rules.
  • To analyze the emergence and sustainability of cooperation under reputation dynamics.

Main Methods:

  • A coevolutionary model was developed where reputation score modifies the updating rule in spatial evolutionary games.
  • The updating probability is adjusted based on a partner's reputation (positive reputation increases probability, negative decreases it).
  • Numerical simulations were conducted for the Prisoner's Dilemma and Snowdrift games on different network structures (spatial lattices, Erdős-Rényi random graphs).

Main Results:

  • The fraction of cooperators generally increases across a wide parameter range, particularly with varying reputation amplitude and range.
  • The model effectively demonstrates how reputation-driven teaching ability promotes cooperation.
  • Cooperation is sustained in both Prisoner's Dilemma and Snowdrift games, even on random graphs.

Conclusions:

  • Reputation-based mechanisms are effective in promoting and sustaining cooperation in evolutionary games.
  • The study provides insights into the emergence of cooperation in real-world social strategy adoptions.
  • The findings highlight the importance of reputation dynamics in shaping collective behavior.