Nonexistence of Measurable Optimal Selections

DOI10.2307/2159495zbMath0767.28010OpenAlexW4252106090MaRDI QIDQ4027746

A. P. Maitra, John P. Burgess

Publication date: 1 March 1993

Full work available at URL: https://doi.org/10.2307/2159495

zbMATH Keywords

dynamic programmingBorel functionsBorel setsmeasurable selectioncompact-valued multifunction

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Dynamic programming (90C39)

Related Items (3)

Normal fields of functionals and optimal measurable sections ⋮ Convex dynamic programming with (bounded) recursive utility ⋮ Ashok Prasad Maitra (1938-2008)

Cites Work

• A selection theorem for optimization problems
• Measurable selection theorems for optimization problems
• A model of set-theory in which every set of reals is Lebesgue measurable
• Generalizations of Castaing's theorem on selectors
• Existence of Stationary Correlated Equilibria with Symmetric Information for Discounted Stochastic Games
• Conditions for optimality in dynamic programming and for the limit of n-stage optimal policies to be optimal
• Optimal Plans for Dynamic Programming Problems
• Survey of Measurable Selection Theorems
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