Imaging and Sleeping Beauty: A case for double-halfers

  • Authors:

  • Mikaël Cozic

  • Affiliations:

  • Institut d'Histoire et de Philosophie des Sciences et des Techniques, (Paris I -- ENS Ulm and CNRS) et Département d'Etudes Cognitives, (ENS Ulm), Paris, France

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2011

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Abstract

The aim of this paper is to provide a case for the double-halfer position in the sleeping beauty. This case relies on the use of the so-called imaging rule for probabilistic dynamics as a substitute for conditionalization. It is argued that the imaging rule is the appropriate one for dealing with belief change in sleeping beauty and that under natural assumptions, this rule results in the double-halfer position.