A value on ′AN

Jean François Mertens; Abraham Neyman

doi:10.1007/s001820300147

A value on ′AN

Jean François Mertens^*
, Abraham Neyman

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

We prove here the existence of a value (of norm 1) on the spaces ′NA and even ′AN, the closure in the variation distance of the linear space spanned by all games f ο μ where μ is a non-atomic, non-negative finitely additive measure of mass 1 and f a real-valued function on [0, 1] which satisfies a much weaker continuity at zero and one.

Original language	English
Pages (from-to)	109-120
Number of pages	12
Journal	International Journal of Game Theory
Volume	32
Issue number	1
DOIs	https://doi.org/10.1007/s001820300147
State	Published - Dec 2003

Keywords

Coalitional form
Continuum of Players
Cooperative
Games
Non-Atomic
Transferable Utility
Value

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10.1007/s001820300147

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title = "A value on ′AN",

abstract = "We prove here the existence of a value (of norm 1) on the spaces ′NA and even ′AN, the closure in the variation distance of the linear space spanned by all games f ο μ where μ is a non-atomic, non-negative finitely additive measure of mass 1 and f a real-valued function on [0, 1] which satisfies a much weaker continuity at zero and one.",

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AB - We prove here the existence of a value (of norm 1) on the spaces ′NA and even ′AN, the closure in the variation distance of the linear space spanned by all games f ο μ where μ is a non-atomic, non-negative finitely additive measure of mass 1 and f a real-valued function on [0, 1] which satisfies a much weaker continuity at zero and one.

KW - Coalitional form

KW - Continuum of Players

KW - Cooperative

KW - Games

KW - Non-Atomic

KW - Transferable Utility

KW - Value

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A value on ′AN

Abstract

Keywords

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