Abstract
We study two agent based models of opinion formation—one stochastic in nature and one deterministic. Both models are defined in terms of an underlying graph; we study how the structure of the graph affects the long time behavior of the models in all possible cases of graph topology. We are especially interested in the emergence of a consensus among the agents and provide a condition on the graph that is necessary and sufficient for convergence to a consensus in both models. This investigation reveals several contrasts between the models—notably the convergence rates—which are explored through analytical arguments and several numerical experiments.
Original language | English (US) |
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Pages (from-to) | 40-68 |
Number of pages | 29 |
Journal | Journal of Statistical Physics |
Volume | 176 |
Issue number | 1 |
DOIs | |
State | Published - Jul 15 2019 |
Keywords
- Agent based modeling
- Consensus dynamics
- Deterministic modeling
- Dynamical systems
- Network dynamics
- Stochastic modeling
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics