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Evolutionary Games on Networks: Phase Transition, Quasi-equilibrium, and Mathematical Principles
- Source :
- Physica A 611 (2023) 128447
- Publication Year :
- 2023
-
Abstract
- The stable cooperation ratio of spatial evolutionary games has been widely studied using simulations or approximate analysis methods. However, sometimes such ``stable'' cooperation ratios obtained via approximate methods might not be actually stable, but correspond to quasi-equilibriums instead. We find that various classic game models, like the evolutionary snowdrift game, evolutionary prisoner's dilemma, and spatial public goods game on square lattices and scale-free networks, exhibit the phase transition in convergence time to the equilibrium state. Moreover, mathematical principles are provided to explain the phase transition of convergence time and quasi-equilibrium of cooperation ratio. The findings explain why and when cooperation and defection have a long-term coexistence.<br />Comment: 11 pages, 7 figures
- Subjects :
- Quantitative Biology - Populations and Evolution
Physics - Physics and Society
Subjects
Details
- Database :
- arXiv
- Journal :
- Physica A 611 (2023) 128447
- Publication Type :
- Report
- Accession number :
- edsarx.2304.14913
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.physa.2023.128447