منابع مشابه
The axiom of real Blackwell determinacy
The theory of infinite games with slightly imperfect information has been focusing on games with finitely and countably many moves. In this paper, we shift the discussion to games with uncountably many possible moves, introducing the axiom of real Blackwell determinacy Bl-ADR (as an analogue of the axiom of real determinacy ADR). We prove that the consistency strength of Bl-ADR is strictly grea...
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متن کاملThe Simulation Technique and Its Applications to Infinitary Combinatorics under the Axiom of Blackwell Determinacy
The Axiom of Blackwell Determinacy is a set-theoretic axiom motivated by games used in statistics. It is known that the Axiom of Determinacy implies the Axiom of Blackwell Determinacy. Tony Martin has conjectured that the two axioms are equivalent. We develop the “simulation technique” which allows us to simulate boundedness proofs under the assumption of Blackwell Determinacy and deduce strong...
متن کاملA Note on Pure Variations of Axioms of Blackwell Determinacy
In this note, we look at weaker versions of the Axiom of Blackwell Determinacy introduced in [Lö02b] and [Lö03]. We use these results to get a new lower bound for the consistency strength of the Axiom of pure Blackwell Determinacy pBl-AD. We shall investigate Blackwell games against opponents with arbitrary mixed strategies Bl-Det(Γ), against opponents with usual pure strategies pBl-Det(Γ), and...
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ژورنال
عنوان ژورنال: Archive for Mathematical Logic
سال: 2012
ISSN: 0933-5846,1432-0665
DOI: 10.1007/s00153-012-0291-x