Testing ambiguity and Machina preferences within a quantum-theoretic framework for decision-making

Autor: Sandro Sozzo, Suzette Geriente, Catarina Moreira, Diederik Aerts
Přispěvatelé: Centre Leo Apostel
Rok vydání: 2018
Předmět:
Zdroj: Journal of Mathematical Economics
ISSN: 0304-4068
DOI: 10.1016/j.jmateco.2017.12.002
Popis: The Machina thought experiments pose to major non-expected utility models challenges that are similar to those posed by the Ellsberg thought experiments to subjective expected utility theory (SEUT). We test human choices in the `Ellsberg three-color example', confirming typical ambiguity aversion patterns, and the `Machina 50/51 and reflection examples', partially confirming the preferences hypothesized by Machina. Then, we show that a quantum-theoretic framework for decision-making under uncertainty recently elaborated by some of us allows faithful modeling of all data on the Ellsberg and Machina paradox situations. In the quantum-theoretic framework subjective probabilities are represented by quantum probabilities, while quantum state transformations enable representations of ambiguity aversion and subjective attitudes toward it.
Comment: 19 pages, 1 figure, standard LaTex. arXiv admin note: substantial text overlap with arXiv:1612.08583, arXiv:1510.09058
Databáze: OpenAIRE