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Beyond payoff neutrality: How generalized subpopulation interactions drive cooperation in structured populations
Yini Geng1,2, Yifei Peng1,2, Yikang Lu3,4
1Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, China.
Generalized relationships between subpopulations significantly impact cooperation evolution. Competition and parasitism can sustain cooperation where network structure alone fails, while mutualism enhances it when structure is sufficient.
Area of Science:
- Evolutionary biology
- Game theory
- Social dynamics
Background:
- Cooperation evolution in structured populations is vital for social challenges.
- Previous work highlighted payoff-neutral subpopulations' role in enhancing cooperation.
- The influence of diverse inter-subpopulation relationships remained unclear.
Purpose of the Study:
- To investigate how generalized inter-subpopulation relationships (competition, mutualism, parasitism) affect cooperation evolution.
- To extend existing models by incorporating inter-subpopulation payoffs (α and β).
- To analyze cooperation dynamics in both fully connected and structured networks.
Main Methods:
- Evolutionary analysis of game theory models.
- Simulations of prisoner's dilemma within subpopulations and generalized interactions between them.
- Varying inter-subpopulation payoffs (α and β) to represent different relationship types.
Main Results:
- In fully connected networks, generalized relationships mirrored payoff-neutral scenarios.
- In structured populations, diverse relationships offered novel pathways for cooperation.
- Mutualism (α>0,β>0) maximized cooperation when network structure sufficed.
- Competition (α<0,β<0) and parasitism (α>0,β<0) sustained cooperation when network structure alone did not.
Conclusions:
- Inter-subpopulation relationships are critical determinants of cooperation evolution.
- Competitive and parasitic relationships can be potent drivers of cooperation under specific network conditions.
- Findings offer nuanced insights into the complex interplay of network structure and inter-group dynamics in shaping social behavior.
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