On quantum models for opinion and voting intention polls

François Dubois

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arXiv · 2411.13593

On quantum models for opinion and voting intention polls

François Dubois

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Abstract

In this contribution, we construct a connection between two quantum voting models presented previously. We propose to try to determine the result of a vote from associated given opinion polls. We introduce a density operator relative to the family of all candidates to a particular election. From an hypothesis of proportionality between a family of coefficients which characterize the density matrix and the probabilities of vote for all the candidates, we propose a numerical method for the entire determination of the density operator. This approach is a direct consequence of the Perron-Frobenius theorem for irreductible positive matrices. We applyour algorithm to synthetic data and to operational results issued from the French presidential election of April 2012.

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François Dubois. 2024-11-18. On quantum models for opinion and voting intention polls. https://arxiv.org/abs/2411.13593

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