Statistical Properties of the Proportional Voting Process

• Authors: T. Gradowski , R. Kosiński
• Languages of publication: EN

Abstracts

EN

We propose a model of elections based on the Sznajd model of social interactions in the stochastic Ravasz-Barabási hierarchical network. The results of numerical calculations for the population described by this model were compared with statistical analysis of elections' results to the lower house of Parliament held in Poland in the years of 2001, 2005 and 2007. It is shown that the distribution of votes among candidates for the whole country as well as for the district of Warsaw has the log-normal character. The results from Poland are compared with other countries: Brazil and India. For all the cases log-normal distribution of votes for the candidates from each political party is shown. The probability of gaining a number of votes as a function of the number of the candidate on the list is presented.

Keywords

EN

11.25.Hf; 87.23.Ge

Discipline

• 87.23.Ge: Dynamics of social systems
• 11.25.Hf: Conformal field theory, algebraic structures

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2008
• Volume: 114
• Issue: 3
• Pages: 575-580

Dates

published

2008-09

received

2007-11-22

Contributors

author

T. Gradowski

• Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warszawa, Poland

author

R. Kosiński

• Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warszawa, Poland
• Central Institute of Labor Protection - National Research Institute, Czerniakowska 16, 00-701 Warszawa, Poland

References

• 1. R. Pastor-Satorras, A. Vespignani, Phys. Rev. E 63, 066117 (2001)
• 2. P.R.A. Campos, V. de Oliveira, F.G. Brady Moreira, Phys. Rev. E 67, 026104 (2003)
• 3. R.N.C. Filho, M.P. Almeida, J.S. Andrade, Jr., J.E. Moreira, Phys. Rev. E 60, 1067 (1999)
• 4. M.C. Gonzalez, A.O. Sousa, H.J. Herrmann, Int. J. Mod. Phys. C 15, 45 (2004)
• 5. A.T. Bernardes, U.M.S. Costa, A.D. Araujo, D. Stauffer, Int. J. Mod. Phys. C 12, 159 (2001)
• 6. A.T. Bernardes, D. Stauffer, J. Kertesz, Eur. Phys. J. B 25, 123 (2002)
• 7. K. Sznajd-Weron, J. Sznajd, Int. J. Mod. Phys. C 11, 1157 (2000)
• 8. E. Ravasz, A.-L. Barabasi, Phys. Rev. E 67, 026112 (2003)
• 9. M.N. Franklin, Electoral Participation, Controversies in Voting Behavior, 4th ed., CQ Press, Washington 2001, p. 83

Identifiers

DOI

10.12693/APhysPolA.114.575