Decisions in elections --- transitive or intransitive quantum preferences

TL;DR

This paper explores how quantum models of voter preferences differ from classical ones, showing that preference transitivity depends on candidate support levels, with implications for election outcome predictions.

Contribution

It introduces a quantum preference model for elections, demonstrating dynamic preference changes and the decreasing significance of intransitive preferences as support shifts.

Findings

Intransitive preferences decrease as candidate support increases in the quantum model.

Quantum preferences exhibit dynamic changes not seen in classical models.

Preference transitivity is context-dependent in quantum election models.

Abstract

Our preferences depend on the circumstances in which we reveal them. We will introduce a dependency which allows us to illustrate the relation between the possibility of winning of particular candidates in a quantum election and the type of preference. It occurs that if voters start to clearly prefer one of the candidates, the significance of intransitive preferences in the quantum model decreases. This dynamic change cannot be observed in the case of the classical model.