Interference and inequality in quantum decision theory

TL;DR

This paper explores quantum decision theory in a simple two-choice setting, deriving inequalities for quantum probabilities and analyzing experimental data that challenge classical explanations using quantum phases.

Contribution

It introduces a set of inequalities for quantum conditional probabilities in decision-making and critically examines experimental data with quantum phases.

Findings

Classical explanations fail to account for experimental data.

Quantum phases provide a better explanation for decision-making anomalies.

Derived inequalities serve as tests for quantum decision models.

Abstract

The quantum decision theory is examined in its simplest form of two-condition two-choice setting. A set of inequalities to be satisfied by any quantum conditional probability describing the decision process is derived. Experimental data indicating the breakdown of classical explanations are critically examined with quantum theory using the full set of quantum phases.