# Discrete Opinion Dynamics with M choices

## TL;DR

This paper extends the CODA model to handle multiple discrete choices and varying opinion strengths, revealing how extremism can emerge through local reinforcement in opinion domains.

## Contribution

It introduces a new discrete opinion dynamics model for M choices, addressing technical challenges and providing a dimensionless form for symmetrical cases.

## Key findings

- Extremism arises from local reinforcement within opinion domains.
- A dimensionless model is derived for symmetrical cases.
- Variable changes improve interpretability of results.

## Abstract

Here, I study how to obtain an opinion dynamics model for the case where there are $M$ possible discrete choices and there is need to model how strong each agent choice is. The new model is obtained as an extension of the Continuous Opinions and Discrete Actions (CODA) model. Technical difficulties with the choice of proper variables for a simple model are solved. For the symmetrical case, a dimensionless model is found. However, when analyzing the results, a change of variables seems to be required for ease of interpretation. Extremism is observed here as well, generated by the local reinforcement of opinions inside domains of agents with the same choice.