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Evolutionary prisoner’s dilemma game on a square lattice
Open accessAbstract
A simplified prisoner's game is studied on a square lattice when the players interacting with their neighbors can follow two strategies: to cooperate $(C)$ or to defect $(D)$ unconditionally. The players updated in random sequence have a chance to adopt one of the neighboring strategies with a probability depending on the payoff difference. Using Monte Carlo simulations and dynamical cluster techniques, we study the density $c$ of cooperators in the stationary state. This system exhibits a continuous transition between the two absorbing states when varying the value of temptation to defect. In the limits $\stackrel{\ensuremath{\rightarrow}}{c}0$ and 1 we have observed critical transitions belonging to the universality class of directed percolation.
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Metadata
- Authors
- Szabó, G., & Tőke, C.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1998-07-01
- Volume
- 58
- Issue
- 1
- Pages
- 69-73
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2024845611
- Cited by
- 1,659
- References
- 0
- FWCI
- 10.05
- Type
- journal article
- Language
- en
- Open access
- green
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- Szabó, G., & Tőke, C. (1998). Evolutionary prisoner’s dilemma game on a square lattice. Physical Review E. https://doi.org/10.1103/physreve.58.69
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