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 apply our algorithm to synthetic data and to operational results issued from the French presidential election of April 2012. © 2014 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Dubois, F. (2014). On quantum models for opinion and voting intention polls. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8369 LNCS, pp. 286–295). Springer Verlag. https://doi.org/10.1007/978-3-642-54943-4_26
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