5 problems

Let $f$ denote the particle distribution, let $\Omega$ be the sensory domain, and let $\Omega_v$ be the visibility domain. Let ${\cal A}[f]$ be the decision-making operator, used t…

Consider the phase diagram of the model parameters governing hallway dynamics, with finite observation time $t_{max}$ and a finite maximal number of agents entering the domain. Let…

The model describes a macroscopic portfolio system derived from microscopic agent dynamics, with traders exhibiting chartist or fundamental behavior and with prices generated by th…

Let agents evolve according to the Hegselmann–Krause model on the real line, with interaction radius $R$, and suppose their initial positions are sampled randomly from a fixed inte…

Let $K$ be the set of truth seekers and let $\overline{K}$ be the set of ignorants in a generalized weighted asynchronous bounded-confidence opinion system (WASBOCOS) with structur…