Name
Abstract | ||
|---|---|---|
The spread of new products in a networked population is often modeled as an epidemic. However, in the case of `complexu0027 contagion, these models {do not capture nuanced, dynamic social reinforcement effects in adoption behavior}. In this paper, we investigate a model of complex contagion which allows a coevolutionary interplay between adoption, modeled as an SIS epidemic spreading process, and social reinforcement effects, modeled as consensus opinion dynamics. Asymptotic stability analysis of the all-adopt as well as the none-adopt equilibria of the combined opinion-adoption model is provided through the use of Lyapunov arguments. In doing so, sufficient conditions are provided which determine the stability of the `flopu0027 state, where no one adopts the product and everyoneu0027s opinion of the product is least favorable, and the `hitu0027 state, where everyone adopts and their opinions are most favorable. These conditions are shown to extend to the bounded confidence opinion dynamic under a stronger assumption on the model parameters. To conclude, numerical simulations demonstrate behavior of the model which reflect findings from the sociology literature on adoption behavior. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1109/tnse.2019.2952986 | arXiv: Systems and Control |
Field | DocType | Volume |
Population,Lyapunov function,Mathematical optimization,Mathematical economics,Complex contagion,Bounded confidence,Exponential stability,Opinion dynamics,Reinforcement,Mathematics | Journal | abs/1809.04581 |
Citations | PageRank | References |
0 | 0.34 | 17 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sebastian F. Ruf | 1 | 0 | 1.01 |
| Keith Paarporn | 2 | 0 | 1.01 |
| Philip E. Pare | 3 | 14 | 7.53 |