A consensus opinion model based on the evolutionary game
We propose a consensus opinion model based on the evolutionary game. In our model, both of the two connected agents receive a benefit if they have the same opinion, otherwise they both pay a cost. Agents update their opinions by comparing payoffs with neighbors. The opinion of an agent with higher p...
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Published in | Europhysics letters Vol. 115; no. 4; pp. 40007 - 40011 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Les Ulis
EDP Sciences, IOP Publishing and Società Italiana di Fisica
01.08.2016
IOP Publishing |
Subjects | |
Online Access | Get full text |
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Summary: | We propose a consensus opinion model based on the evolutionary game. In our model, both of the two connected agents receive a benefit if they have the same opinion, otherwise they both pay a cost. Agents update their opinions by comparing payoffs with neighbors. The opinion of an agent with higher payoff is more likely to be imitated. We apply this model in scale-free networks with tunable degree distribution. Interestingly, we find that there exists an optimal ratio of cost to benefit, leading to the shortest consensus time. Qualitative analysis is obtained by examining the evolution of the opinion clusters. Moreover, we find that the consensus time decreases as the average degree of the network increases, but increases with the noise introduced to permit irrational choices. The dependence of the consensus time on the network size is found to be a power-law form. For small or larger ratio of cost to benefit, the consensus time decreases as the degree exponent increases. However, for moderate ratio of cost to benefit, the consensus time increases with the degree exponent. Our results may provide new insights into opinion dynamics driven by the evolutionary game theory. |
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Bibliography: | publisher-ID:epl18096 ark:/67375/80W-PLT48BT9-1 istex:17ADA2476B8510E80F70F40ABDE69076C4EF7A2F |
ISSN: | 0295-5075 1286-4854 |
DOI: | 10.1209/0295-5075/115/40007 |