dorsal/arxiv
View SchemaEvolutionary game dynamics in inhomogeneous populations
| Authors | Xiaojie Chen, Feng Fu, Long Wang, Tianguang Chu |
|---|---|
| Categories | |
| ArXiv ID | physics/0701317 |
| URL | https://arxiv.org/abs/physics/0701317 |
Abstract
To our knowledge, the populations are generally assumed to be homogeneous in the traditional approach to evolutionary game dynamics. Here, we focus on the inhomogeneous populations. A simple model which can describe the inhomogeneity of the populations and a microscopic process which is similar to Moran Process are presented. By studying the replicator dynamics, it is shown that this model also keeps the fixed points unchanged and can affect the speed of converging to the equilibrium state. The fixation probability and the fixation time of this model are computed and discussed. In the inhomogeneous populations, there are different situations that characterize the time scale of evolution; and in each situation, there exists an optimum solution for the time to the equilibrium points, respectively. Moreover, these results on the speed of evolution are valid for infinite and finite populations.
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"abstract": "To our knowledge, the populations are generally assumed to be homogeneous in\nthe traditional approach to evolutionary game dynamics. Here, we focus on the\ninhomogeneous populations. A simple model which can describe the inhomogeneity\nof the populations and a microscopic process which is similar to Moran Process\nare presented. By studying the replicator dynamics, it is shown that this model\nalso keeps the fixed points unchanged and can affect the speed of converging to\nthe equilibrium state. The fixation probability and the fixation time of this\nmodel are computed and discussed. In the inhomogeneous populations, there are\ndifferent situations that characterize the time scale of evolution; and in each\nsituation, there exists an optimum solution for the time to the equilibrium\npoints, respectively. Moreover, these results on the speed of evolution are\nvalid for infinite and finite populations.",
"arxiv_id": "physics/0701317",
"authors": [
"Xiaojie Chen",
"Feng Fu",
"Long Wang",
"Tianguang Chu"
],
"categories": [
"physics.soc-ph"
],
"title": "Evolutionary game dynamics in inhomogeneous populations",
"url": "https://arxiv.org/abs/physics/0701317"
},
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