تقرير
Representing Attitudes Towards Ambiguity in Hilbert Space: Foundations and Applications
| العنوان: | Representing Attitudes Towards Ambiguity in Hilbert Space: Foundations and Applications |
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| المؤلفون: | Sozzo, Sandro |
| سنة النشر: | 2019 |
| المجموعة: | Computer Science Quantum Physics Quantitative Biology |
| مصطلحات موضوعية: | Computer Science - Artificial Intelligence, Quantitative Biology - Neurons and Cognition, Quantum Physics |
| الوصف: | 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 (DM) 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. Comment: 23 pages, standard LaTeX, 1 figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1907.06314 |
| رقم الأكسشن: | edsarx.1907.06314 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |