An extension of Borel determinacy

DOI10.1016/0168-0072(90)90029-2zbMath0721.03036OpenAlexW1977554670MaRDI QIDQ2640595

Donald A. Martin

Publication date: 1990

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(90)90029-2

zbMATH Keywords

measurable cardinaldeterminacy of games on arbitrary treesquasi-Borel determinacyquasi-Borel sets

Mathematics Subject Classification ID

Descriptive set theory (03E15) Determinacy principles (03E60)

Related Items (18)

The determinacy of Blackwell games ⋮ The real core model and its scales ⋮ Unraveling \({\boldsymbol\Pi}^1_1\) sets, revisited ⋮ From winning strategy to Nash equilibrium ⋮ Determinacy in the difference hierarchy of co-analytic sets ⋮ Determinacy of refinements to the difference hierarchy of co-analytic sets ⋮ 1995 Annual Meeting of the Association for Symbol Logic ⋮ On Nash-solvability in pure stationary strategies of finite games with perfect information which may have cycles. ⋮ Determinacy and the sharp function on objects of type k ⋮ Equilibria in multi-player multi-outcome infinite sequential games ⋮ Concurrent reachability games ⋮ Determinacy and extended sharp functions on the reals. II: Obtaining sharps from determinacy ⋮ A strong partition cardinal above \(\varTheta \) ⋮ Probability theory for the Brier game ⋮ Solving games via three-valued abstraction refinement ⋮ A game of prediction with expert advice ⋮ Is there a set of reals not in \(K(\mathbb{R})\)? ⋮ Unraveling \(\boldsymbol\Pi_1^1\) sets

Cites Work

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• Descriptive set theory
• Borel determinacy
• The equivalence of determinacy and iterated sharps
• Analytic determinacy and 0^#
• Determinacy and the sharp function on objects of type k
• Measurable cardinals and analytic games
• Analytic sets in Hausdorff spaces
• Determinacy and the sharp function on the reals

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