Non-classsical measurement theory: A framework for behavioral sciences

Vladimir I. Danilov and Ariane Lambert-Mogiliansky ()

PSE Working Papers from PSE (Ecole normale supérieure)

Abstract: Instances of non-commutativity are pervasive in human behavior. In this paper, we suggest that psychological properties such as attitudes, values, preferences and beliefs may be suitably described in terms of the mathematical formalism of quantum mechanics. We expose the foundations of non-classical measurement theory building on a simple notion of orthospace and ortholattice (logic). Two axioms are formulated and the characteristic state-property duality is derived. A last axiom concerned with the impact of measurements on the state takes us with a leap toward the Hilbert space model of Quantum Mechanics. An application to behavioral sciences is proposed. First, we suggest an interpretation of the axioms and basic properties for human behavior. Then we explore an application to decision theory in an example of preference reversal. We conclude by formulating basic ingredients of a theory of actualized preferences based in non-classical measurement theory.

New Economics Papers: this item is included in nep-cbe, nep-evo and nep-hpe
Date: 2005
View list of references

Downloads: (external link)
http://www.pse.ens.fr/document/wp200537.pdf (application/pdf)

Related works:
Working Paper: Non-classical Measurement Theory: a Framework for Behavioral Sciences (2005)
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: http://EconPapers.repec.org/RePEc:pse:psecon:2005-37

Access Statistics for this paper

More papers in PSE Working Papers from PSE (Ecole normale supérieure)
Contact information at EDIRC.
Series data maintained by ().