Expected utility theory under non-classical uncertainty

Vladimir Danilov () and Ariane Lambert-Mogiliansky ()
Additional contact information
Ariane Lambert-Mogiliansky: PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement

PSE-Ecole d'économie de Paris (Postprint) from HAL

Abstract: In this article, Savage's theory of decision-making under uncertainty is extended from a classical environment into a non-classical one. The Boolean lattice of events is replaced by an arbitrary ortho-complemented poset. We formulate the corresponding axioms and provide representation theorems for qualitative measures and expected utility. Then, we discuss the issue of beliefs updating and investigate a transition probability model. An application to a simple game context is proposed.

Keywords: Measurement; Bet; Non-classical probability; Qualitative measure; Transition probability; Orthomodular poset (search for similar items in EconPapers)
Date: 2010-02
References: Add references at CitEc
Citations: View citations in EconPapers (22)

Published in Theory and Decision, 2010, 68 (1-2), pp.25-47. ⟨10.1007/s11238-009-9142-6⟩

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
Journal Article: Expected utility theory under non-classical uncertainty (2010)
Working Paper: Expected utility theory under non-classical uncertainty (2010)
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: https://EconPapers.repec.org/RePEc:hal:pseptp:halshs-00754482

DOI: 10.1007/s11238-009-9142-6

Access Statistics for this paper

More papers in PSE-Ecole d'économie de Paris (Postprint) from HAL
Bibliographic data for series maintained by Caroline Bauer ().