English

Inference by Multiple Identical Observers

Probability 2025-09-04 v3

Abstract

We consider models for inference which involve observers which may have multiple copies, such as in the Sleeping Beauty problem. We establish a framework for describing these problems on a probability space satisfying Kolmogorov's axioms, and this enables the main competing solutions to be compared precisely.

Keywords

Cite

@article{arxiv.2411.13257,
  title  = {Inference by Multiple Identical Observers},
  author = {Martin T. Barlow},
  journal= {arXiv preprint arXiv:2411.13257},
  year   = {2025}
}

Comments

This version (v3) has a new title, and is shorter and more mathematical than v2. Most of sections 4,5,6,7 of v2 have been omitted

R2 v1 2026-06-28T20:06:15.283Z