Approximation conjecture for steady states in the sigmoidal bounded-confidence model
Approximation conjecture. There exist x′∈Cδ(x)\mathbf{x}'\in C_\delta(\mathbf{x})x′∈Cδ(x), a sequence {γ(ℓ)}ℓ\{\gamma^{(\ell)}\}_\ell{γ(ℓ)}ℓ, and a sequence {x(ℓ)}ℓ\{\mathbf{x}^{(\ell)}\}_\ell{x(ℓ)}ℓ such that