Dictatorship from majority rule voting
Laboratoire des Milieux Désordonnés et Hétérogènes
Laboratoire associé au CNRS (UMR n° 7603)., Tour 13 - Case 86, 4 place Jussieu, 75252 Paris Cedex 05, France
2 Institute for Physical Chemistry, University of Cologne, Luxemburger Strasse 116, 50939 Köln, Germany
Published online: 15 November 2000
Majority rule voting in a multi-level system is studied using tools from the physics of disorder. We are not dealing with nation-wide general elections but rather with hierarchical organisations made of small committees. While in theory, for a two candidate election, the critical threshold to absolute power is , the usual existence of some local and reasonable bias makes it asymmetric, transforming a democratic system in effect to a dictatorship. The underlying dynamics of this democratic self-elimination is studied using a simulation which visualizes the full process. In addition the effect of non-voting persons (abstention, sickness, apathy) is also studied. It is found to have an additional drastic effect on the asymmetry of the threshold value to power. Some possible applications are mentioned.
PACS: 05.45-a – Nonlinear dynamics and nonlinear dynamical systems / 87.23.Ge – Dynamics of social systems / 87.23.Kg – Dynamics of evolution / 05.50+q – Lattice theory and statistics (Ising, Potts, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000