Analysis of a continuous opinion and discrete action dynamics model coupled with an external observation dynamics
arxiv(2024)
摘要
We consider a set of consumers in a city or town (who thus generate
pollution) whose opinion is governed by a continuous opinion and discrete
action (CODA) dynamics model. This dynamics is coupled with an observation
signal dynamics, which defines the information the consumers have access to
regarding the common pollution. We show that the external observation signal
has a significant impact on the asymptotic behavior of the CODA model. When the
coupling is strong, it induces either a chaotic behavior or convergence towards
a limit cycle. When the coupling is weak, a more classical behavior
characterized by local agreements in polarized clusters is observed. In both
cases, conditions under which clusters of consumers don't change their actions
are provided.Numerical examples are provided to illustrate the derived
analytical results.
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