Known Unknowns: Time Bounds and Knowledge of Ignorance

In Hans van Ditmarsch & Gabriel Sandu (eds.), Jaakko Hintikka on Knowledge and Game Theoretical Semantics. Cham, Switzerland: Springer. pp. 187-206 (2018)
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Abstract

This paper studies the role that known bounds on message transmission times in a computer network play on the evolution of the epistemic state over time. A connection to cones of causal influence analogous to, and more general than, light cones is presented. Focusing on lower bounds on message transmission times, an analysis is presented of how knowledge about when others are guaranteed to be ignorant about an event of interest can arise. This has implications in competitive settings, in which knowing about another’s ignorance can provide an advantage.

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Ido Ben-Zvi
Technion, Israel Institute of Technology

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On interactive knowledge with bounded communication.Ido Ben-Zvi & Yoram Moses - 2011 - Journal of Applied Non-Classical Logics 21 (3-4):323-354.

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