Continuous Values of Market Games are Conic

Omer Edhan

Discussion Paper Series from The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem

Abstract: We prove that every continuous value on a space of vector measure market games $Q$, containing the space of nonatomic measures $NA$, has the \textit{conic property}, i.e., if a game $v\in Q$ coincides with a nonatomic measure $\nu$ on a conical diagonal neighborhood then $\varphi(v)=\nu$. We deduce that every continuous value on the linear space $\mathcal M$, spanned by all vector measure market games, is determined by its values on $\mathcal{LM}$ - the space of vector measure market games which are Lipschitz functions of the measures.

Pages: 11 pages
Date: 2012-08
New Economics Papers: this item is included in nep-gth and nep-mic
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Citations: View citations in EconPapers (3)

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