Transitivity of an entangled choice

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.

will appear in Journal of Physics A: Mathematical and Theoretical

References in corpus (2)

• Relative entropy, Haar measures and relativistic canonical velocity distributions
• Noisy non-transitive quantum games

Cited by in corpus (5)

• Decisions in elections --- transitive or intransitive quantum preferences
• Evolutionary Processes in Quantum Decision Theory
• Do transitive preferences always result in indifferent divisions?
• When "I cut, you choose" method implies intransitivity
• Bistable Probabilities: A Unified Framework for Studying Rationality and Irrationality in Classical and Quantum Games