Presentation on YouTube.

Models of opinion formation explore dynamic effects of social complexity, emphasizing that society is more than the sum of its individuals and illustrating how social influence leads to the emergence of collective behaviors. The term "opinions'' refers to numerical characteristics of individuals and their behaviors. Opinions can be continuous (real numbers of vectors) or discrete (drawn from a finite set). Their evolution can be described on either microscopic (agent-based) level or macroscopic (population-wide) level. During the presentation, I will concentrate on microscopic dynamical models that involve continuous opinions. These models have attracted significant attention within the fields of dynamical systems, control theory, and AI. We discuss main achievements in analysis of such models, as well as new challenges.