Topology and Social Behaviour of Agents

TL;DR

This paper models social groups as networks of agents exchanging information, analyzing their structure and behavior using statistical mechanics principles and empirical observations to understand information verification.

Contribution

It introduces a novel approach applying statistical mechanics to social agent networks and characterizes social behavior through empirical dependencies.

Findings

Social network structures resemble random cellular networks.

Empirical dependencies reveal factors influencing personal radius.

Quantitz parameter characterizes information verification process.

Abstract

In a social group its members are caled here agents. Any two agents from the group may interact. The interaction consists of the exchange of information and it costs some energy. There exist subgroups of interacting agents which are nonreducibile. The structure, configuration of interactions between agents in the group, forms a macroscopic structure. The statistical equilibrium due to microreversibility is characterised by the maximum of entropy and by the minimum of energy, costs of information exchange. Thus we have a structure which is equivalent to random cellular networks /N. Rivier, Physica 23D (1986) 129-137/. We will use methods described by Rivier to study social behaviour of agents. Their social behaviour is discussed. The social behaviour is discussed. Three empiricaly observed dependences of personal radius dependence on some factors enabled us to characterise the quantitz which characterises verification of information.