# Bounds on the probability of radically different opinions

## TL;DR

This paper derives bounds on the likelihood that two agents with shared initial beliefs, but different information sources, will form radically different opinions about the probability of an event.

## Contribution

It introduces a theoretical framework for quantifying the probability of divergent opinions based on initial beliefs and information sources.

## Key findings

- Bounds on opinion divergence probabilities derived
- Framework applicable to various probabilistic settings
- Provides insights into opinion formation dynamics

## Abstract

We establish bounds on the probability that two different agents, who share an initial opinion expressed as a probability distribution on an abstract probability space, given two different sources of information, may come to radically different opinions regarding the conditional probability of the same event.