Measurability of the value of a parametrized game

Karel Prikry; William D. Sudderth

doi:10.1007/s00182-015-0476-8

Measurability of the value of a parametrized game

Karel Prikry, William D. Sudderth

School of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Results from descriptive set theory are used to study measurability properties of the (upper) value of a measurably parametrized family of two-person, zero-sum games with measurable payoffs.

Original language	English (US)
Pages (from-to)	675-683
Number of pages	9
Journal	International Journal of Game Theory
Volume	45
Issue number	3
DOIs	https://doi.org/10.1007/s00182-015-0476-8
State	Published - Aug 1 2016

Keywords

Analytic sets
Continuum hypothesis
Polish space
Universally measurable
Universally nonmeasurable
Weak topology on probability measures

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10.1007/s00182-015-0476-8

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title = "Measurability of the value of a parametrized game",

abstract = "Results from descriptive set theory are used to study measurability properties of the (upper) value of a measurably parametrized family of two-person, zero-sum games with measurable payoffs.",

keywords = "Analytic sets, Continuum hypothesis, Polish space, Universally measurable, Universally nonmeasurable, Weak topology on probability measures",

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KW - Universally measurable

KW - Universally nonmeasurable

KW - Weak topology on probability measures

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Measurability of the value of a parametrized game

Abstract

Keywords

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