On Voting Process and Quantum Mechanics

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.

[1]  Mioara Mugur-Schachter Infra-Mecanique Quantique , 2008 .

[2]  Michel Balinski,et al.  Le jugement majoritaire : L'expérience d'Orsay , 2007 .

[3]  G. Vitiello My double unveiled , 2001 .

[4]  Éric Brian,et al.  Tableau historique des progrès de l'esprit humain : projets, esquisse, fragments et notes, (1772-1794) , 1900 .

[5]  A. Gleason Measures on the Closed Subspaces of a Hilbert Space , 1957 .

[6]  Bernard d'Espagnat,et al.  Traité de Physique et de Philosophie , 2002 .

[7]  C. J. van Rijsbergen,et al.  The geometry of information retrieval , 2004 .

[8]  J. Geanakoplos Three brief proofs of Arrow’s Impossibility Theorem , 2001 .

[9]  Emile Peynaud,et al.  Le goût du vin , 1980 .

[10]  François Dubois,et al.  On Fractaquantum Hypothesis , 2006 .

[11]  Rida Laraki,et al.  A theory of measuring, electing, and ranking , 2007, Proceedings of the National Academy of Sciences.

[12]  Emmanuel Haven,et al.  The importance of probability interference in social science: rationale and experiment , 2007, 0709.2802.

[13]  Peter Bruza,et al.  Entangling words and meaning , 2008 .

[14]  L. A. Goodman,et al.  Social Choice and Individual Values , 1951 .

[15]  B. Mandelbrot Fractal Geometry of Nature , 1984 .

[16]  Nicolas de Condorcet Essai Sur L'Application de L'Analyse a la Probabilite Des Decisions Rendues a la Pluralite Des Voix , 2009 .

[17]  Warren D. Smith Three Voting Protocols: ThreeBallot, VAV, and Twin , 2007, EVT.

[18]  Laurent Nottale,et al.  La relativité dans tous ses états : au-delà de l'espace-temps , 1998 .

[19]  Pierfrancesco La Mura,et al.  Markovian Entanglement Networks , 2007, ArXiv.

[20]  Michel Bitbol Mécanique quantique : une introduction philosophique , 2008 .

[21]  Emmanuel Haven,et al.  Does Probability Interference Exist In Social Science , 2007 .

[22]  Jean Salem L'atomisme antique : Démocrite. Épicure. Lucréce , 1997 .