dorsal/arxiv
View SchemaThe effect of finite population size on the evolutionary dynamics in multi-person Prisoner's Dilemma
| Authors | Anders Eriksson, Kristian Lindgren |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0608014 |
| URL | https://arxiv.org/abs/q-bio/0608014 |
Abstract
We study the influence of stochastic effects due to finite population size in the evolutionary dynamics of populations interacting in the multi-person Prisoner's Dilemma game. This paper is an extension of the investigation presented in a recent paper [Eriksson and Lindgren (2005), J. Theor. Biol. 232(3), 399]. One of the main results of the previous study is that there are modes of dynamic behaviour, such as limit cycles and fixed points, that are maintained due to a non-zero mutation level, resulting in a significantly higher level of cooperation than was reported in earlier studies. In the present study, we investigate two mechanisms in the evolutionary dynamics for finite populations: (i) a stochastic model of the mutation process, and (ii) a stochastic model of the selection process. The most evident effect comes from the second extension, where we find that a previously stable limit cycle is replaced by a trajectory that to a large extent is close to a fixed point that is stable in the deterministic model. The effect is strong even when population size is as large as 10,000. The effect of the first mechanism is less pronounced, and an argument for this difference is given.
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"abstract": "We study the influence of stochastic effects due to finite population size in\nthe evolutionary dynamics of populations interacting in the multi-person\nPrisoner\u0027s Dilemma game. This paper is an extension of the investigation\npresented in a recent paper [Eriksson and Lindgren (2005), J. Theor. Biol.\n232(3), 399]. One of the main results of the previous study is that there are\nmodes of dynamic behaviour, such as limit cycles and fixed points, that are\nmaintained due to a non-zero mutation level, resulting in a significantly\nhigher level of cooperation than was reported in earlier studies. In the\npresent study, we investigate two mechanisms in the evolutionary dynamics for\nfinite populations: (i) a stochastic model of the mutation process, and (ii) a\nstochastic model of the selection process. The most evident effect comes from\nthe second extension, where we find that a previously stable limit cycle is\nreplaced by a trajectory that to a large extent is close to a fixed point that\nis stable in the deterministic model. The effect is strong even when population\nsize is as large as 10,000. The effect of the first mechanism is less\npronounced, and an argument for this difference is given.",
"arxiv_id": "q-bio/0608014",
"authors": [
"Anders Eriksson",
"Kristian Lindgren"
],
"categories": [
"q-bio.PE"
],
"title": "The effect of finite population size on the evolutionary dynamics in multi-person Prisoner\u0027s Dilemma",
"url": "https://arxiv.org/abs/q-bio/0608014"
},
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