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arXiv · 1501.00458

Quantum voting and violation of Arrow's Impossibility Theorem

Ning Bao·Nicole Yunger Halpern
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Abstract

We propose a quantum voting system, in the spirit of quantum games such as the quantum Prisoner's Dilemma. Our scheme enables a constitution to violate a quantum analog of Arrow's Impossibility Theorem. Arrow's Theorem is a claim proved deductively in economics: Every (classical) constitution endowed with three innocuous-seeming properties is a dictatorship. We construct quantum analogs of constitutions, of the properties, and of Arrow's Theorem. A quantum version of majority rule, we show, violates this Quantum Arrow Conjecture. Our voting system allows for tactical-voting strategies reliant on entanglement, interference, and superpositions. This contribution to quantum game theory helps elucidate how quantum phenomena can be harnessed for strategic advantage.

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Ning Bao, Nicole Yunger Halpern. 2017-06-12. Quantum voting and violation of Arrow's Impossibility Theorem. https://doi.org/10.1103/physreva.95.062306

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