A characterization of vector measure games in pNA

Yair Tauman

doi:10.1007/BF02761686

A characterization of vector measure games in pNA

Yair Tauman

Economics

Stony Brook University

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

7 Scopus citations

Abstract

We give a complete characterization of games in pNA of the form f^o μ (where μ is a vector of finite number of non-atomic probability measures, and f is a real valued function on the range of μ with f(0)=0). Specifically, we show that f^o μ is in pNA iff "f is continuous at μ" (the definition of the latter is given in the paper).

Original language	English
Pages (from-to)	75-96
Number of pages	22
Journal	Israel Journal of Mathematics
Volume	43
Issue number	1
DOIs	https://doi.org/10.1007/BF02761686
State	Published - Mar 1982

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10.1007/BF02761686

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abstract = "We give a complete characterization of games in pNA of the form f o μ (where μ is a vector of finite number of non-atomic probability measures, and f is a real valued function on the range of μ with f(0)=0). Specifically, we show that f o μ is in pNA iff {"}f is continuous at μ{"} (the definition of the latter is given in the paper).",

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AB - We give a complete characterization of games in pNA of the form f o μ (where μ is a vector of finite number of non-atomic probability measures, and f is a real valued function on the range of μ with f(0)=0). Specifically, we show that f o μ is in pNA iff "f is continuous at μ" (the definition of the latter is given in the paper).

UR - https://www.scopus.com/pages/publications/51249183937

U2 - 10.1007/BF02761686

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VL - 43

SP - 75

EP - 96

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

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A characterization of vector measure games in pNA

Abstract

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