Work

Representing Attitudes Towards Ambiguity in Hilbert Space: Foundations and Applications

Year: 2020
Type: article
Abstract: We provide here a general mathematical framework to model attitudes towards ambiguity which uses the formalism of quantum theory as a “purely mathematical formalism, detached from any physical interpretation”. We show that the quantum-theoretic framework enables modelling of the Ellsberg paradox, but it also successfully applies to more concrete human decision-making tests involving financial, managerial and medical decisions. In particular, we elaborate a mathematical representation of various empirical studies which reveal that attitudes of managers towards uncertainty shift from ambiguity seeking to ambiguity aversion, and viceversa, thus exhibiting hope effects and fear effects. The present framework provides a promising direction towards the development of a unified theory of decisions in the presence of uncertainty.
Author: Sandro Sozzo
Language: English
Open Access status: hybrid
Estimated APC paid: $2,750
OpenAlex ID: W3036723085
FWCI: 0.367
Cites: 51
Cited by: 5
Related to: 10