Spatial correlations in vote statistics: A diffusive field model for decision-making

European Physical Journal B

Volumn 75, Issue 3, 2010, Pages 395-404

  Borghesi, C ^a   Bouchaud, J P ^b  

^a SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

^b Science and Finance   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FIELD MODEL; RANDOM DIFFUSION; SHORT-RANGE CORRELATIONS; SPATIAL CORRELATIONS; SYMMETRY CONSIDERATION;

DECISION MAKING; PARTIAL DIFFERENTIAL EQUATIONS; REGRESSION ANALYSIS;

POPULATION STATISTICS;

EID: 77954565389     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2010-00151-1     Document Type: Article

References (56)

1. M. Granovetter, Am. J. Sociol. 83, 1420 (1978)
2. M. Granovetter, R. Soong, J. Math. Socio. 9, 165 (1983)
3. T. Schelling, Micromotives & Macrobehaviour (New York, Norton, 1978)
4. E. M. Rogers, Diffusion of innovations, 4th edn. (Free Press, New York, 1995)
5. S. Galam, Int. J. Mod. Phys. C 19, 409 (2008)
6. W. Brock, S. Durlauf, Rev. Econ. Stud. 68, 235 (2001)
7. see e.g. D. Helbing, I. J. Farkas, T. Vicsek, Crowd disasters and simulation of panic situations, The Science of Disasters. Climate Disruptions, Heart Attacks, and Market Crashes, edited by A. Bunde, J. Kropp, H.-J. Schellnhuber (Springer, Berlin, 2002), p. 334
8. Q. Michard, J.-P. Bouchaud, Eur. Phys. J. B 47, 151 (2005)
9. M. B. Gordon, J.-P. Nadal, D. Phan, V. Semeshenko, Math. Mod. Meth. Appl. Sci. Supl. 19, 1441 (2009)
10. M. J. Salganik, P. S. Dodds, D. J. Watts, Science 311, 854 (2006)
11. C. Borghesi, J.-P. Bouchaud, Qual. Quant. 41, 557 (2007)
12. A. Siegfried, Tableau politique de la France de l'ouest sous la troisième république (A. Colin, 1913)
13. M. Bussi, Éléments de géographie électorale à travers l'exemple de la France de l'Ouest (P. U. de Rouen, 1998)
14. N. Ganache, Le mythe du paysage qui vote, http://norois.revues.org/ index594.html (2005)
15. R. N. Costa Filho, M. P. Almeida, J. S. Andrade, J. E. Moreira, Phys. Rev. E 60, 1067 (1999)
16. R. N. Costa Filho, M. P. Almeida, J. E. Moreira, J. S. Andrade Jr., Phys. A 322, 698 (2003)
17. M. L. Lyra, U. M. S. Costa, R. N. Costa Filho, J. S. Andrade, Europhys. Lett. 62, 131 (2003)
18. A. T. Bernardes, D. Stauffer, J. Kertész, Eur. Phys. J. B 25, 123 (2002)
19. M. C. Gonzalez, A. O. Sousa, H. J. Herrmann, Int. J. Mod. Phys. C 15, 45 (2004)
20. S. Sinha, R. K. Pan, How a "Hit" is born: the Emergence of Popularity from the Dynamics of Collective Choice, in Econophysics and Sociophysics: Trends and Perspectives (Wiley, 2006), e-print arXiv:0704. 2955[physics.soc-ph]
21. G. Báez, H. Hernández-Saldanã, R. A. Méndez-Sánchez, Statistical properties of electoral systems: the Mexican case, e-print arXiv:physics/0609114
22. O. Morales-Matamoros, M. A. Martínez-Cruz, R. Tejeida-Padilla, Mexican Voter Network as a Dynamic Complex System, in 50th Annual Meeting of the ISSS (2006)
23. H. Situngkir, Power-Law Signature in Indonesian Legislative Election 1999 and 2004, e-print arXiv:nlin/0405002
24. S. Fortunato, C. Castellano, Phys. Rev. Lett. 99, 138701 (2007)
25. L. E. Araripe, R. N. Costa Filho, H. J. Herrmann, J. S. Andrade Jr., Int. J. Mod. Phys. C 17, 1809 (2006)
26. M. G. Sadovsky, A. A. Gliskov, Towards the Typol ogy of Elections at Russia, e-print arXiv:0706.3521[physics. soc-ph]
27. J. J. Schneider, C. Hirtreiter, Int. J. Mod. Phys. C 16, 1165 (2005)
28. H. Hernández-Saldanã, On the Corporate Votes and their relation with Daisy Models, e-print arXiv:0810. 0554[physics.soc-ph]
29. C.-I. Chou, S.-P. Li, Growth Model for Vote Distributions in Elections, e-print arXiv:0911.1404[physics.soc-ph]
30. D. M. Romero, C. M. Kribs-Zaleta, A. Mubayi, C. Orbe, An Epidemiological Approach to the Spread of Political Third Parties, e-print arXiv:0911. 2388[physics.soc-ph]
31. S. Banisch, T. Araùjo, On the Empirical Relevance of the Transient in Opinion Models, e-print arXiv:1003. 5578[physics.soc-ph]
32. A. Blais, To vote or not to vote? The Merits and Limits of Rational Choice Theory (Univerity of Pittsburg Press, 2000)
33. M. Franklin, Voter Turnout and the Dynamics of Electoral Competition in Established Democracies since 1945 (Cambridge U. P., 2004)
34. French Home Office, bureau des élections et des études politiques, http://www.interieur.gouv.fr/sections/a-votre-service/elections/ resultats
35. Institut Géographique National, http://professionnels.ign.fr/ ficheProduitCMS.do? idDoc=5323862
36. C. Borghesi, Une étude de physique sur les élections - R égularités, prédictions et modèles sur des élections françaises, Ph. D. thesis, arXiv:0910.4661[physics. soc-ph]
37. S. P. Anderson, A. De Palma, J. F. Thisse, Discrete choice theory of product differentiation (Cambridge, MIT Press, 1992)
38. C. Castellano, S. Fortunato, V. Loreto, Rev. Mod. Phys. 81, 591 (2009)
39. D. Stauffer, Opinion Dynamics and Sociophysics, in Encyclopedia of Complexity and Systems Science (Springer, 2009), pp. 6380-6388, e-print arXiv:0705. 0891[physics.soc-ph]
40. L. M. A. Bettencourt, A. Cintrón-Arias, D. I. Kaiser, C. Castillo-Chávez, Physica A 364, 513 (2006)
41. F. Schweitzer, Brownian Agents and Active Particles: Collective Dynamics in the Natural and Social Sciences (Springer, 2003)
42. M. J. Hinish, M. C. Munger, Ideology and the Theory of P oliti cal C ho i ce (University of Michigan Press, 1994)
43. M. Moussaid, D. Helbing, G. Theraulaz, An individualbased model of col lective attention, e-print arXiv:0909. 2757[physics.soc-ph]
44. F. Caccioli, S. Franz, M. Marsili, J. Stat. Mech. P07006 (2008)
45. S. Galam, J. Phys. C: Solid State 15, 529 (1982)
46. J. P. Sethna, Crackling Noise and Avalanches: Scaling, Critical Phenomena, and the Renormalization Group, in Complex Systems, Lecture Notes of the Les Houches Summer School 2006 (Elsevier, 2007), Vol. LXXXV, pp. 257-288 (arXiv:cond-mat/0612418)
47. S. Galam, S. Moscovici, Eur. J. Soc. Phys. 21, 49 (1991)
48. S. Galam, Physica A 238, 66 (1997)
49. A. Quetelet, Physique sociale, ou Essai sur le d éveloppement des facultés de l'homme (Muquardt, Brussels, 1835, 1869)
50. W. Ostwald, Energetische grundlagen der kulturwissenschaften, edited by W. Klinkhardt (Leipzig, 1909)
51. E. Majorana, Scientia 36, 5866 (1942), e-print arXiv: 0709.3537[physics.soc-ph]
52. L. P. Kadanoff, Simulation 16, 261 (1971)
53. M. Batty, Urban modelling: Algorithms, calibrations, predictions (Cambridge U. P., 1976)
54. E. W. Montroll, Proc. Natl. Acad. Sci. USA 75, 4633 (1978)
55. G. Toulouse, J. Bok, Rev.franç. socio. 19, 391 (1978)
56. See e.g.: J. P. Bouchaud, A. Georges, Phys. Rep. 195, 127 (1990)