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A memory-based spatial evolutionary game with the dynamic interaction between learners and profiteers.

Bin Pi1, Minyu Feng2, Liang-Jian Deng1

  • 1School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China.

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Summary
This summary is machine-generated.

This study introduces a memory-based spatial evolutionary game with dynamic interactions between learners and profiteers, revealing that these dynamics and memory mechanisms promote cooperation. Increased learning rates further enhance cooperative behaviors.

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Area of Science:

  • Evolutionary Game Theory
  • Network Science
  • Computational Social Science

Background:

  • Spatial evolutionary games often overlook memory effects and dynamic population structures.
  • Previous models typically focus on single-round interactions and static individual roles.

Purpose of the Study:

  • To investigate the role of memory and dynamic interactions between distinct individual types (learners and profiteers) in spatial evolutionary games.
  • To understand the emergence and maintenance of cooperation under these novel conditions.

Main Methods:

  • Development of a memory-based spatial evolutionary game model incorporating dynamic transitions between profiteer and learner roles via a Markov process.
  • Incorporation of memory mechanisms into individual payoff calculations.
  • Extensive numerical simulations on various network structures to analyze evolutionary dynamics.

Main Results:

  • Dynamic interactions between profiteers and learners significantly foster cooperation.
  • Memory mechanisms facilitate the emergence of cooperative behaviors, particularly among profiteers.
  • An increased learning rate among learners positively correlates with a higher prevalence of cooperators.

Conclusions:

  • The proposed model provides a more realistic framework for studying cooperation by including memory and dynamic population structures.
  • Findings highlight the importance of adaptive learning and memory in promoting cooperation in social dilemmas.
  • The study deepens the understanding of the evolutionary mechanisms underlying cooperative behavior in complex networks.