Economics at your fingertips  

Savage's theorem with atoms

Thai Ha-Huy ()

MPRA Paper from University Library of Munich, Germany

Abstract: The famous theorem of Savage is based on the richness of the states space, by assuming a continuum nature for this set. In order to fill the gap, this article considers Savage's theorem with discrete state space. The article points out the importance the existence of pair event in the existence of utility function and the subjective probability. Under the discrete states space, this can be ensured by the intuitive atom swarming condition. Applications for the establishment of an inter-temporal evaluation a la Koopman, and for the configuration under unlikely atoms of Mackenzie Mackenzie2018 are provided.

Keywords: Savage theorem; Koopman representation; expected utility function; atom swarming. (search for similar items in EconPapers)
JEL-codes: C00 D10 D90 (search for similar items in EconPapers)
Date: 2019-06-16
New Economics Papers: this item is included in nep-mic and nep-upt
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1) Track citations by RSS feed

Downloads: (external link) original version (application/pdf)

Related works:
Working Paper: Savage's theorem with atoms (2019) Downloads
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link:

Access Statistics for this paper

More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.
Bibliographic data for series maintained by Joachim Winter ().

Page updated 2021-07-07
Handle: RePEc:pra:mprapa:96108