An analysis of the spatial prisoner’s dilemma using the partial differential equation
| Autor: | Yoshihide Kubo, Masanori Shiro |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Computer Science::Computer Science and Game Theory
Partial differential equation Computer simulation 0206 medical engineering 02 engineering and technology Prisoner's dilemma 020601 biomedical engineering General Biochemistry Genetics and Molecular Biology 03 medical and health sciences 0302 clinical medicine Artificial Intelligence Lattice (order) Applied mathematics 030217 neurology & neurosurgery Mathematics |
| Zdroj: | Artificial Life and Robotics. 26:91-96 |
| ISSN: | 1614-7456 1433-5298 |
| Popis: | We propose a partial differential equation that reproduces the behavior of a model that was constructed as one of the Prisoner’s Dilemma Games for mobility by Suzuki and Kimura in 2011. By numerical simulation of our equation connected on a lattice, it was shown that the equation reproduces the maintaining cooperation by oscillating the number of the game’s players like the previous study. We made a phase diagram, and we also found that depending on the parameters, the cooperative area had a comet pattern. We considered that the proposed equation reproduces the phenomenon and that the cooperative rate decreases as the rate of benefit increases, similar to previous results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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