Abstract
In this communication, we propose a tentative to set the fundamental problem of measuring process done by a large structure on a microscopic one. We consider the example of voting when an entire society tries to measure globally opinions of all social actors in order to elect a delegate. We present a quantum model to interpret an operational voting system and propose an quantum approach for grading step of Range Voting, developed by M. Balinski and R. Laraki in 2007.
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References
Arrow, K.J.: Social Choice and Individual Values. J. Wiley and Sons, New York (1951)
Balinski, M., Laraki, R.: A theory of measuring, electing and ranking. Proceeding of the National Academy of Sciences of the USA 104(21), 8720–8725 (2007)
Balinski, M., Laraki, R.: Le Jugement Majoritaire : l’Expérience d’Orsay. Commentaire 30(118), 413–420 (summer 2007)
Bitbol, M.: Mécanique quantique, une introduction philosophique. Champs-Flammarion, Paris (1996)
de Borda, J.C.: Mémoire sur les lections au scrutin. In: Histoire de l’Académie Royale des Sciences, Paris (1781)
Bruza, P.D., Kitto, K., Nelson, D., McEvoy, C.L.: Entangling Words and Meaning. In: Proceedings of the Second Quantum Interaction Symposium, pp. 118–124. College Publications, Oxford (2008)
Cohen-Tannoudji, C., Diu, B., Laloë, F.: Mécanique quantique. Hermann, Paris (1977)
de Condorcet, N.: Essai sur l’application de l’analyse à la probabilité des décisions rendues à la pluralié des voix. Imprimerie Royale, Paris (1785)
de Condorcet, N.: Esquisse d’un tableau historique des progrès de l’esprit humain. In: Daunou, P.C.F., de Condorcet, M.L.S. (eds.). Agasse, Paris (1795)
D’Espagnat, B.: Traité de physique et de philosophie. Fayard, Paris (2002)
Dubois, F.: Hypothèse fractaquantique. In: Res-Systemica, 5th European Congress of System Science, Heraklion, vol. 2 (October 2002)
Dubois, F.: On fractaquantum hypothesis. In: Res-Systemica, 6th European Congress of System Science, Paris, vol. 5 (September 2005)
Dubois, F.: Could Nature be quantum at all scales? (preprint) (April 2008)
Dubois, F.: On the measure process between different scales. In: Res-Systemica, 7th European Congress of System Science, Lisboa, vol. 7 (December 2008)
Geanakoplos, J.: Three brief proofs of Arrow’s Impossibility Theorem. Economic Theory 26(1), 211–215 (2005)
Gleason, A.M.: Measures on the Closed Subspaces of a Hilbert Space. Indiana University Mathematics Journal (Journal of Mathematics and Mechanics) 6, 885–893 (1957)
Khrennikov, A.Y., Haven, E.: The importance of probability interference in social science: rationale and experiment (September 2007), arXiv:0709.2802
La Mura, P., Swiatczak, L.: Markovian Entanglement Networks. Leizig Graduate School of Management (2007)
Mandelbrot, B.: The Fractal Geometry of Nature. W. H. Freeman and Co., New York (1982)
Mugur-Schächter, M.: Infra-mécanique quantique. Quantum Physics (January 2008), arXiv:0801.1893
Nottale, L.: La Relativité dans tous ses états: au delà de l’Espace-Temps. Hachette, Paris (1998)
Rivest, R.L., Smith, W.D.: Three Voting Protocols: ThreeBallot, VAV, and Twin. In: Proceedings of the Electronic Voting Technology 2007, Boston, MA, August 6 (2007)
Salem, J.: L’Atomisme antique. Démocrite, Epicure, Lucrèce. Hachette, Paris (1997)
Smith, W.D.: Range Voting satisfies properties that no rank-order system can (April 2007)
Peynaud, E., Blouin, J.: Le goût du vin. Dunod, Paris (2006)
van Rijsbergen, C.J.: The Geometry of Information Retrieval. Cambridge University Press, Cambridge (2004)
Vitiello, G.: My Double Unveiled. In: Advances in Consciousness Research. John Benjamins Publishing Company, Amsterdam (2001)
Wikipedia (2002), http://en.wikipedia.org/wiki/French_presidential_election,_2002
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Dubois, F. (2009). On Voting Process and Quantum Mechanics. In: Bruza, P., Sofge, D., Lawless, W., van Rijsbergen, K., Klusch, M. (eds) Quantum Interaction. QI 2009. Lecture Notes in Computer Science(), vol 5494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00834-4_17
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DOI: https://doi.org/10.1007/978-3-642-00834-4_17
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