dorsal/arxiv
View SchemaInterplay between evolutionary game and network structure: the coevolution of social net, cooperation and wealth
| Authors | Jie Ren, Xiang Wu, Wen-Xu Wang, Guanrong Chen, Bing-Hong Wang |
|---|---|
| Categories | |
| ArXiv ID | physics/0605250 |
| URL | https://arxiv.org/abs/physics/0605250 |
Abstract
We study the interplay between evolutionary game and network structure and show how the dynamics of the game affect the growth pattern of the network and how the evolution of the network influence the cooperative behavior in the game. Simulation results show that the payoff-based preferential attachment mechanism leads to the emergence of a scale-free structural property, $P(k)\sim k^{-\gamma}$. Moreover, we investigate the average path length and the assortative mixing features. The obtained results indicate that the network has small-world and positive assortative behaviors, which are consistent with the observations of some real social networks. In parallel, we found that the evolution of the underlying network structure effectively promotes the cooperation level of the game. We also investigate the wealth distribution obtained by our model, which is consistent with the Pareto law in the real observation. In addition, the analysis of the generated scale-free network structure is provided for better understanding the evolutionary dynamics of our model.
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"date_created": "2026-03-02T18:01:07.892000Z",
"date_modified": "2026-03-02T18:01:07.892000Z",
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"abstract": "We study the interplay between evolutionary game and network structure and\nshow how the dynamics of the game affect the growth pattern of the network and\nhow the evolution of the network influence the cooperative behavior in the\ngame. Simulation results show that the payoff-based preferential attachment\nmechanism leads to the emergence of a scale-free structural property, $P(k)\\sim\nk^{-\\gamma}$. Moreover, we investigate the average path length and the\nassortative mixing features. The obtained results indicate that the network has\nsmall-world and positive assortative behaviors, which are consistent with the\nobservations of some real social networks. In parallel, we found that the\nevolution of the underlying network structure effectively promotes the\ncooperation level of the game. We also investigate the wealth distribution\nobtained by our model, which is consistent with the Pareto law in the real\nobservation. In addition, the analysis of the generated scale-free network\nstructure is provided for better understanding the evolutionary dynamics of our\nmodel.",
"arxiv_id": "physics/0605250",
"authors": [
"Jie Ren",
"Xiang Wu",
"Wen-Xu Wang",
"Guanrong Chen",
"Bing-Hong Wang"
],
"categories": [
"physics.soc-ph"
],
"title": "Interplay between evolutionary game and network structure: the coevolution of social net, cooperation and wealth",
"url": "https://arxiv.org/abs/physics/0605250"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "918b113f-2a6f-4c51-9c19-666f2f4d8c62",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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