dorsal/arxiv
View SchemaInfluence of initial distributions on robust cooperation in evolutionary Prisoner's Dilemma
| Authors | Xiaojie Chen, Feng Fu, Long Wang |
|---|---|
| Categories | |
| ArXiv ID | physics/0701318 |
| URL | https://arxiv.org/abs/physics/0701318 |
| DOI | 10.1016/j.physleta.2007.09.044 |
Abstract
We study the evolutionary Prisoner's Dilemma game on scale-free networks for different initial distributions. We consider three types of initial distributions for cooperators and defectors: initially random distribution with different frequencies of defectors; intentional organization with defectors initially occupying the most connected nodes with different fractions of defectors; intentional assignment for cooperators occupying the most connected nodes with different proportions of defectors at the beginning. It is shown that initial configurations for cooperators and defectors can influence the stationary level of cooperation and the evolution speed of cooperation. Organizations with the vertices with highest connectivity representing individuals cooperators could exhibit the most robust cooperation and drive evolutionary process to converge fastest to the high steady cooperation in the three situations of initial distributions. Otherwise, we determine the critical initial frequencies of defectors above which the extinction of cooperators occurs for the respective initial distributions, and find that the presence of network loops and clusters for cooperators can favor the emergence of cooperation.
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"abstract": "We study the evolutionary Prisoner\u0027s Dilemma game on scale-free networks for\ndifferent initial distributions. We consider three types of initial\ndistributions for cooperators and defectors: initially random distribution with\ndifferent frequencies of defectors; intentional organization with defectors\ninitially occupying the most connected nodes with different fractions of\ndefectors; intentional assignment for cooperators occupying the most connected\nnodes with different proportions of defectors at the beginning. It is shown\nthat initial configurations for cooperators and defectors can influence the\nstationary level of cooperation and the evolution speed of cooperation.\nOrganizations with the vertices with highest connectivity representing\nindividuals cooperators could exhibit the most robust cooperation and drive\nevolutionary process to converge fastest to the high steady cooperation in the\nthree situations of initial distributions. Otherwise, we determine the critical\ninitial frequencies of defectors above which the extinction of cooperators\noccurs for the respective initial distributions, and find that the presence of\nnetwork loops and clusters for cooperators can favor the emergence of\ncooperation.",
"arxiv_id": "physics/0701318",
"authors": [
"Xiaojie Chen",
"Feng Fu",
"Long Wang"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1016/j.physleta.2007.09.044",
"title": "Influence of initial distributions on robust cooperation in evolutionary Prisoner\u0027s Dilemma",
"url": "https://arxiv.org/abs/physics/0701318"
},
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