Singular games in bv'NA

Abraham Neyman

doi:10.1016/j.jmateco.2008.04.003

Singular games in bv'NA

Abraham Neyman^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

Abstract

Every simple monotonic game in bv'NA is a weighted majority game. Every game vj{cyrillic, ukrainian}bv'NA has a representation v=u+∑_i=1^∞f_ioμ_i where uj{cyrillic, ukrainian}pNA, μ_ij{cyrillic, ukrainian}NA¹ and fi is a sequence of bv' functions with ∑_i=1^∞{norm of matrix}f_i{norm of matrix}<∞. Moreover, the representation is unique if we require fi to be singular and that for every i≠j, μ_i≠μ_j.

Original language	English
Pages (from-to)	384-387
Number of pages	4
Journal	Journal of Mathematical Economics
Volume	46
Issue number	4
DOIs	https://doi.org/10.1016/j.jmateco.2008.04.003
State	Published - Jul 2010

Keywords

Game theory
Non-atomic games

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10.1016/j.jmateco.2008.04.003

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abstract = "Every simple monotonic game in bv'NA is a weighted majority game. Every game vj\{cyrillic, ukrainian\}bv'NA has a representation v=u+∑i=1∞fioμi where uj\{cyrillic, ukrainian\}pNA, μij\{cyrillic, ukrainian\}NA1 and fi is a sequence of bv' functions with ∑i=1∞\{norm of matrix\}fi\{norm of matrix\}<∞. Moreover, the representation is unique if we require fi to be singular and that for every i≠j, μi≠μj.",

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AB - Every simple monotonic game in bv'NA is a weighted majority game. Every game vj{cyrillic, ukrainian}bv'NA has a representation v=u+∑i=1∞fioμi where uj{cyrillic, ukrainian}pNA, μij{cyrillic, ukrainian}NA1 and fi is a sequence of bv' functions with ∑i=1∞{norm of matrix}fi{norm of matrix}<∞. Moreover, the representation is unique if we require fi to be singular and that for every i≠j, μi≠μj.

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KW - Non-atomic games

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JF - Journal of Mathematical Economics

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ER -

Singular games in bv'NA

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Keywords

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