Inference by multiple observers
Author:
Open Access
- 15 May 2026
- journal article
- Published by The Royal Society in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 482 (2338)
Abstract
We consider models for inference made by observers which may have multiple copies, such as occur in some multiverse theories. A toy model in this field is the Sleeping Beauty (SB) problem. We establish a framework for describing these problems on a probability space satisfying Kolmogorov’s axioms. This enables the main competing approaches to be compared precisely.Keywords
Funding Information
- Pacific Institute for the Mathematical Sciences
This publication has 22 references indexed in Scilit:
- The degree of fine-tuning in our universe — and othersPhysics Reports, 2019
- An Introduction to Probability Theory2018
- Fermi's paradox, extraterrestrial life and the future of humanity: a Bayesian analysisInternational Journal of Astrobiology, 2016
- A Mathematical Analysis of the Sleeping Beauty ProblemThe Mathematical Intelligencer, 2009
- Reasoning about the future: Doom and BeautySynthese, 2007
- Sleeping beauty and the dynamics of de se beliefsPhilosophical Studies, 2006
- Sleeping Beauty and Self-location: A Hybrid ModelSynthese, 2006
- On the Interpretation of Decision Problems with Imperfect RecallGames and Economic Behavior, 1997
- Study of a filtration expanded to include an honest timeProbability Theory and Related Fields, 1978
- Large Number Coincidences and the Anthropic Principle in Cosmology1974