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Higher-order evolutionary dynamics with game transitions.

Yi-Duo Chen1, Zhi-Xi Wu1, Jian-Yue Guan1

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Summary
This summary is machine-generated.

Higher-order interactions in complex systems can promote cooperation, but their proportion has a dual effect. Game transitions consistently foster cooperation, leading to stable states of cooperation or defection.

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Area of Science:

  • Complex systems science
  • Game theory
  • Evolutionary dynamics

Background:

  • Pairwise interactions fail to capture complex system dynamics.
  • Higher-order interactions significantly influence system evolution.
  • Understanding cooperation in social dilemmas is crucial.

Purpose of the Study:

  • To investigate the impact of game transitions on cooperation in higher-order prisoner's dilemma games.
  • To analyze the dual role of higher-order interaction proportions in cooperative systems.
  • To identify emergent states in systems with higher-order interactions and game transitions.

Main Methods:

  • Development of a higher-order prisoner's dilemma game model incorporating game transitions.
  • Theoretical analysis of game dynamics.
  • Computational simulations to validate theoretical predictions.

Main Results:

  • Game transitions consistently promote cooperation.
  • The proportion of higher-order interactions exhibits a dual impact: promoting cooperation or facilitating defection.
  • Bistable states (mutual defection vs. mutual cooperation/coexistence) are consistently observed.

Conclusions:

  • Game transitions are a key factor in promoting cooperation within higher-order interaction networks.
  • The balance between higher-order interactions and game transitions determines system stability and cooperation levels.
  • The study reveals complex dynamics leading to persistent cooperation or defection-driven invasions.