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On Voting Process and Quantum Mechanics

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Book cover Quantum Interaction (QI 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5494))

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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

  1. Arrow, K.J.: Social Choice and Individual Values. J. Wiley and Sons, New York (1951)

    MATH  Google Scholar 

  2. 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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. Balinski, M., Laraki, R.: Le Jugement Majoritaire : l’Expérience d’Orsay. Commentaire 30(118), 413–420 (summer 2007)

    Article  Google Scholar 

  4. Bitbol, M.: Mécanique quantique, une introduction philosophique. Champs-Flammarion, Paris (1996)

    Google Scholar 

  5. de Borda, J.C.: Mémoire sur les lections au scrutin. In: Histoire de l’Académie Royale des Sciences, Paris (1781)

    Google Scholar 

  6. 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)

    Google Scholar 

  7. Cohen-Tannoudji, C., Diu, B., Laloë, F.: Mécanique quantique. Hermann, Paris (1977)

    Google Scholar 

  8. 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)

    Google Scholar 

  9. 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)

    Google Scholar 

  10. D’Espagnat, B.: Traité de physique et de philosophie. Fayard, Paris (2002)

    Google Scholar 

  11. Dubois, F.: Hypothèse fractaquantique. In: Res-Systemica, 5th European Congress of System Science, Heraklion, vol. 2 (October 2002)

    Google Scholar 

  12. Dubois, F.: On fractaquantum hypothesis. In: Res-Systemica, 6th European Congress of System Science, Paris, vol. 5 (September 2005)

    Google Scholar 

  13. Dubois, F.: Could Nature be quantum at all scales? (preprint) (April 2008)

    Google Scholar 

  14. Dubois, F.: On the measure process between different scales. In: Res-Systemica, 7th European Congress of System Science, Lisboa, vol. 7 (December 2008)

    Google Scholar 

  15. Geanakoplos, J.: Three brief proofs of Arrow’s Impossibility Theorem. Economic Theory 26(1), 211–215 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  16. 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)

    Article  MathSciNet  MATH  Google Scholar 

  17. Khrennikov, A.Y., Haven, E.: The importance of probability interference in social science: rationale and experiment (September 2007), arXiv:0709.2802

    Google Scholar 

  18. La Mura, P., Swiatczak, L.: Markovian Entanglement Networks. Leizig Graduate School of Management (2007)

    Google Scholar 

  19. Mandelbrot, B.: The Fractal Geometry of Nature. W. H. Freeman and Co., New York (1982)

    MATH  Google Scholar 

  20. Mugur-Schächter, M.: Infra-mécanique quantique. Quantum Physics (January 2008), arXiv:0801.1893

    Google Scholar 

  21. Nottale, L.: La Relativité dans tous ses états: au delà de l’Espace-Temps. Hachette, Paris (1998)

    Google Scholar 

  22. 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)

    Google Scholar 

  23. Salem, J.: L’Atomisme antique. Démocrite, Epicure, Lucrèce. Hachette, Paris (1997)

    Google Scholar 

  24. Smith, W.D.: Range Voting satisfies properties that no rank-order system can (April 2007)

    Google Scholar 

  25. Peynaud, E., Blouin, J.: Le goût du vin. Dunod, Paris (2006)

    Google Scholar 

  26. van Rijsbergen, C.J.: The Geometry of Information Retrieval. Cambridge University Press, Cambridge (2004)

    Book  MATH  Google Scholar 

  27. Vitiello, G.: My Double Unveiled. In: Advances in Consciousness Research. John Benjamins Publishing Company, Amsterdam (2001)

    Google Scholar 

  28. 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

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00833-7

  • Online ISBN: 978-3-642-00834-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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