Template-Type: ReDIF-Paper 1.0
Author-Name: Esteban Peralta
Author-Name-First: Esteban
Author-Name-Last: Peralta
Author-Name:  Fernando Tohmé
Author-Name-First: Fernando
Author-Name-Last: Tohmé
Title: Provability: from evidence to knowledge
Abstract: This note explores the relationship between evidence and knowledge, when knowledge is described by a partition of a finite state space and evidence is represented by a collection of sets of messages that varies with knowledge. Fixing a partition, an event is said to be provable if there exists evidence for it in some evidence structure. We show that an event is provable if and only if it is self-evident---i.e., known at everyone of its states. This result offers a novel foundation for knowledge and common knowledge.	
Length: 8 pages
Creation-Date:  2020-11
File-URL: https://aaep.org.ar/works/works2020/Tohme.pdf
File-Format: Application/pdf
Number: 4419
Classification-JEL: D8, L0 
Handle: RePEc:aep:anales: 4419