Meet, Discuss and Trust each other: large versus small groups

TL;DR

This paper offers a dynamical model distinguishing large and small groups, showing how group effects dominate in large groups while mutual relationships are key in small groups, supported by numerical and analytical analysis.

Contribution

It introduces a dynamical interpretation of sociological differences between large and small groups, combining numerical and analytical methods.

Findings

Large groups are dominated by group effects.

Small groups are influenced by mutual relationships.

The model is supported by numerical and analytical analysis.

Abstract

In this paper we propose a dynamical interpretation of the sociological distinction between large and small groups of interacting individuals. In the former case individual behaviors are largely dominated by the group effect, while in the latter mutual relationships do matter. Numerical and analytical tools are combined to substantiate our claims.