The Mathematics of Coordinated Inference A Study of Generalized Hat Problems /

• Main Authors: Hardin, Christopher S. (Author), Taylor, Alan D. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2013.
• Series: Developments in Mathematics, 33
• Subjects: Mathematics.; Logic, Symbolic and mathematical.; Topology.; Mathematical Logic and Foundations.; Game Theory, Economics, Social and Behav. Sciences.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-319-01333-6

Two prisoners are told that they will be brought to a room and seated so that each can see the other. Hats will be placed on their heads; each hat is either red or green. The two prisoners must simultaneously submit a guess of their own hat color, and they both go free if at least one of them guesse...

Table of Contents:

• 1. Introduction
• 2. The Finite Setting
• 3. The Denumerable Setting: Full Visibility
• 4. The Denumerable Setting: One-Way Visibility
• 5. Dual Hat Problems and the Uncountable
• 6. Galvin's Setting: Neutral and Anonymous Predictors
• 7. The Topological Setting
• 8. Universality of the ơ-Predictor
• 9. Generalizations and Galois-Tukey Connections
• Bibliography
• Index.