Distributional properties of correspondences on Loeb spaces
From MaRDI portal
Publication:1815485
DOI10.1006/jfan.1996.0079zbMath0865.28008OpenAlexW2081762611MaRDI QIDQ1815485
Publication date: 9 December 1996
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/a735c552b39de7b363fd3b1505ac3c4e71a3709f
distributionselectionYoung measurecorrespondencenon-standard analysisLoeb measure spacenon-standard models of probability
Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Nonstandard measure theory (28E05) Nonstandard analysis (26E35)
Related Items
A general Fatou lemma ⋮ Pure-strategy Nash equilibria in large games: characterization and existence ⋮ Purification and saturation ⋮ Pure strategy equilibria in games with countable actions ⋮ The necessity of nowhere equivalence ⋮ On the diffuseness of incomplete information game ⋮ Saturation and the integration of Banach valued correspondences ⋮ Set-valued functions, Lebesgue extensions and saturated probability spaces ⋮ A continuity theorem for cores of random closed sets ⋮ The bang-bang, purification and convexity principles in infinite dimensions ⋮ Pure strategy equilibria in games with private and public information ⋮ Weak sequential convergence in \(L^1(\mu,X)\) and an exact version of Fatou's lemma ⋮ Nonatomic games on Loeb spaces ⋮ Maharam-types and Lyapunov's theorem for vector measures on Banach spaces ⋮ Existence of Nash equilibria in large games ⋮ Why saturated probability spaces are necessary ⋮ Non-cooperative games on hyperfinite Loeb spaces ⋮ A theory of hyperfinite processes: The complete removal of individual uncertainty via exact LLN
