# Modelling community formation driven by the status of individual in a society

## TL;DR

This paper introduces an agent-based network model simulating how individuals' pursuit of social status leads to hierarchical, homophilous, and assortative social structures, with network properties evolving as the population size increases.

## Contribution

The study presents a novel agent-based model capturing the dynamics of community formation driven by status competition, highlighting size-dependent structural differences.

## Key findings

- Small networks form disjoint communities with high homophily.
- Larger networks become more cohesive with larger communities.
- Network properties are largely independent of size, but community structure varies.

## Abstract

In human societies, people's willingness to compete and strive for better social status as well as being envious of those perceived in some way superior lead to social structures that are intrinsically hierarchical. Here we propose an agent-based, network model to mimic the ranking behaviour of individuals and its possible repercussions in human society. The main ingredient of the model is the assumption that the relevant feature of social interactions is each individual's keenness to maximise his or her status relative to others. The social networks produced by the model are homophilous and assortative, as frequently observed in human communities and most of the network properties seem quite independent of its size. However, it is seen that for small number of agents the resulting network consists of disjoint weakly connected communities while being highly assortative and homophilic. On the other hand larger networks turn out to be more cohesive with larger communities but less homophilic. We find that the reason for these changes is that larger network size allows agents to use new strategies for maximizing their social status allowing for more diverse links between them.