PP-2009-17: The Axiom of Real Blackwell Determinacy

PP-2009-17: Ikegami, Daisuke and de Kloet, David and Löwe, Benedikt (2009) The Axiom of Real Blackwell Determinacy. [Report]

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Abstract

In the theory of infinite games with slightly imperfect information, the main question (whether the axiom of determinacy and the axiom of Blackwell determinacy are equivalent) is still open. In this paper, we shift the discussion to games with uncountably many possible moves, introducing the axiom of real Blackwell determinacy Bl-AD_R (as an analogue of the axiom of real determinacy AD_R). We prove that the consistency strength of Bl-AD_R is strictly greater than that of AD.

Item Type: Report
Report Nr: PP-2009-17
Series Name: Prepublication (PP) Series
Year: 2009
Uncontrolled Keywords: games; stochastic games; axiom of choice; large cardinals
Depositing User: Benedikt
Date Deposited: 12 Oct 2016 14:37
Last Modified: 12 Oct 2016 14:37
URI: https://eprints.illc.uva.nl/id/eprint/347

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