Transitivity of an entangled choice
Marcin Makowski, Edward W. Piotrowski
TL;DR
This paper introduces a quantum model for simple choice games using entangled qubits to explore the fundamental issue of transitive versus intransitive preferences, comparing classical and quantum strategies.
Contribution
It presents a novel quantum approach to modeling choice behavior and analyzes the attainability of optimal intransitive strategies using geometric methods.
Findings
Quantum model allows for intransitive preferences not possible classically.
Geometrical interpretation clarifies strategy attainability.
Quantum strategies can outperform classical ones in certain choice scenarios.
Abstract
We describe a quantum model of simple choice game (constructed upon entangled state of two qubits), which involves the fundamental problem of transitive - intransitive preferences. We compare attainability of optimal intransitive strategies in both classical and quantum models with the use of geometrical interpretation.
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