Standard State Space Models of Unawareness (Extended Abstract)

Peter Fritz
(University of Oslo)
Harvey Lederman
(New York University)

The impossibility theorem of Dekel, Lipman and Rustichini has been thought to demonstrate that standard state-space models cannot be used to represent unawareness. We first show that Dekel, Lipman and Rustichini do not establish this claim. We then distinguish three notions of awareness, and argue that although one of them may not be adequately modeled using standard state spaces, there is no reason to think that standard state spaces cannot provide models of the other two notions. In fact, standard space models of these forms of awareness are attractively simple. They allow us to prove completeness and decidability results with ease, to carry over standard techniques from decision theory, and to add propositional quantifiers straightforwardly.

In R Ramanujam: Proceedings Fifteenth Conference on Theoretical Aspects of Rationality and Knowledge (TARK 2015), Carnegie Mellon University, Pittsburgh, USA, June 4-6, 2015, Electronic Proceedings in Theoretical Computer Science 215, pp. 141–158.
Published: 23rd June 2016.

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