Selection functions, bar recursion and backward induction

DOI10.1017/S0960129509990351zbMath1207.03072OpenAlexW2048835253MaRDI QIDQ3559969

Martín Hötzel Escardó, Paulo Oliva

Publication date: 17 May 2010

Published in: Mathematical Structures in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0960129509990351

zbMATH Keywords

equilibriabackward inductionmonadbar recursionfinite gamessequential gamescontinuous countably infinite games

Mathematics Subject Classification ID

Applications of game theory (91A80) Categorical logic, topoi (03G30) Metamathematics of constructive systems (03F50) Higher-type and set recursion theory (03D65)

Related Items (19)

On Spector's bar recursion ⋮ The equivalence of bar recursion and open recursion ⋮ Higher-order games with dependent types ⋮ The Peirce translation ⋮ A note on the finitization of Abelian and Tauberian theorems ⋮ Algorithm design with the selection monad ⋮ Smart Choices and the Selection Monad ⋮ Constructive forcing, CPS translations and witness extraction in Interactive realizability ⋮ Unnamed Item ⋮ Programming with algebraic effects and handlers ⋮ Well Quasi-orders and the Functional Interpretation ⋮ Mathematical logic: proof theory, constructive mathematics. Abstracts from the workshop held November 5--11, 2017 ⋮ 2010 European Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '10 ⋮ A constructive interpretation of Ramsey's theorem via the product of selection functions ⋮ A Coalgebraic View of Bar Recursion and Bar Induction ⋮ THE HERBRAND FUNCTIONAL INTERPRETATION OF THE DOUBLE NEGATION SHIFT ⋮ A generalization of Nash's theorem with higher-order functionals ⋮ Sequential games and optimal strategies ⋮ BAR RECURSION AND PRODUCTS OF SELECTION FUNCTIONS

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• A Relationship between Equilogical Spaces and Type Two Effectivity
• Algorithmic Game Theory
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• On Double Dualization Monads.

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