The following post aims to explain why the diagram below is a proof without words that the Kaldor-Hicks criterion for an improvement in the economy can be non-transitive. This is in response to a request for help from a student of mine who made the request on the Facebook group...
Edit: Pre-print available here https://arxiv.org/abs/2005.01563 Also link to earlier post here https://www.alignmentforum.org/posts/5bd75cc58225bf06703753a9/formal-open-problem-in-decision-theory?fbclid=IwAR2u-8RVfnfRtEo51vag5vYWAcfkoHDJAr6aydVGqYVmEq0oxnjwR0Ee34E Scott Garrabrant has raised the question of whether there is any topological space A for which the exponential topology on [0,1]A exists and such that there is a continuous surjection g:A→[0,1]A. In cited pre-print above I claim to...
The goal of this blog-post is to explore the intuition that drives the feeling that the agent who arrives at the conclusion that they should pay Pascal's mugger is being unreasonable, and whether this can be tied in with the analysis of a logical inductor as an algorithm not exploitable...