# Network generation and evolution based on spatial and opinion dynamics components

## TL;DR

This paper introduces a spatial network evolution model combining Metropolis simulation with opinion dynamics, capturing how networks form and change based on spatial proximity and agent preferences.

## Contribution

It presents a novel model integrating spatial and opinion factors using energy functions and the CODA model, producing realistic network evolution and opinion dynamics.

## Key findings

- Networks evolve from random to ordered states as temperature decreases.
- Different network structures emerge depending on spatial and opinion influence balance.
- The model successfully simulates temporal network dynamics with opinion influence.

## Abstract

In this paper, a model for a spatial network evolution based on a Metropolis simulation is presented. The model uses an energy function that depends both on the distance between the nodes and the stated preferences. The agents influence their network neighbors opinions using the CODA model. That means each agent has a preference between two options based on its probabilistic assessment of which option is the best one. The algorithm generates realistic networks for opinion problems as well as temporal dynamics for those networks. The transition from a random state to an ordered situation, as temperature decreases, is described. Different types of networks appear based on the relative strength of the spatial and opinion components of the energy.