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Phase transitions in a coevolving snowdrift game with costly rewiring
1Department of Electronics and Communication Engineering, Suzhou Institute of Industrial Technology, Suzhou, 215104, China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2014
Summary
Cooperation in adaptive games is complex. Rewiring costs and payoff parameters influence agent behavior, leading to distinct population structures and dynamics, with segregated or connected phases emerging based on these factors.
Area of Science:
- Complex systems
- Game theory
- Agent-based modeling
Background:
- Adaptive games model strategic interactions.
- Agent behavior is influenced by local environments and costs.
- Understanding cooperation dynamics is crucial in social and economic systems.
Purpose of the Study:
- To investigate a dissatisfied adaptive snowdrift game with rewiring costs.
- To analyze the impact of payoff parameter (r) and rewiring cost (a) on cooperation.
- To map the phase diagram of system dynamics and population structures.
Main Methods:
- Agent-based numerical simulations.
- Theoretical modeling accounting for spatial correlations.
- Analysis of cooperation frequency and link densities.
Main Results:
- Nontrivial, nonmonotonic dependence of cooperation on 'a' and 'r'.
- Cooperation frequency is enhanced (suppressed) at high rewiring cost for small (large) 'r'.
- Phase transitions observed from segregated to connected dynamics based on 'a' and 'r'.
Conclusions:
- A critical rewiring cost determines system evolution into segregated or connected phases.
- The phase diagram reveals distinct structural, population, and dynamical properties.
- Small 'r' and 'a' favor a disconnected, segregated phase.
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