dorsal/arxiv
View SchemaVan Kampen's expansion approach in an opinion formation model
| Authors | M. S. de la Lama, I. G. Szendro, J. R. Iglesias, H. S. Wio |
|---|---|
| Categories | |
| ArXiv ID | physics/0603047 |
| URL | https://arxiv.org/abs/physics/0603047 |
| DOI | 10.1140/epjb/e2006-00232-8 |
Abstract
We analyze a simple opinion formation model consisting of two parties, A and B, and a group I, of undecided agents. We assume that the supporters of parties A and B do not interact among them, but only interact through the group I, and that there is a nonzero probability of a spontaneous change of opinion (A->I, B->I). From the master equation, and via van Kampen's Omega-expansion approach, we have obtained the "macroscopic" evolution equation, as well as the Fokker-Planck equation governing the fluctuations around the deterministic behavior. Within the same approach, we have also obtained information about the typical relaxation behavior of small perturbations.
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"abstract": "We analyze a simple opinion formation model consisting of two parties, A and\nB, and a group I, of undecided agents. We assume that the supporters of parties\nA and B do not interact among them, but only interact through the group I, and\nthat there is a nonzero probability of a spontaneous change of opinion (A-\u003eI,\nB-\u003eI). From the master equation, and via van Kampen\u0027s Omega-expansion approach,\nwe have obtained the \"macroscopic\" evolution equation, as well as the\nFokker-Planck equation governing the fluctuations around the deterministic\nbehavior. Within the same approach, we have also obtained information about the\ntypical relaxation behavior of small perturbations.",
"arxiv_id": "physics/0603047",
"authors": [
"M. S. de la Lama",
"I. G. Szendro",
"J. R. Iglesias",
"H. S. Wio"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1140/epjb/e2006-00232-8",
"title": "Van Kampen\u0027s expansion approach in an opinion formation model",
"url": "https://arxiv.org/abs/physics/0603047"
},
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"execution_id": "4df487a9-a8bf-4c82-bc1a-cec2be56e31c",
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"type": "Model",
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