The Principle of Redundant Reflection
Martin Metodiev, Maarten Marsman, Lourens Waldorp, Quentin F. Gronau, Eric-Jan Wagenmakers
Published: 2025/3/27
Abstract
The fact that redundant information does not update a rational belief implies that rational beliefs are updated using Bayes rule. In the framework of Hild (1998a), this is true under mild conditions for discrete, continuous, and arbitrary measure spaces. We prove this result and illustrate it with two examples.