Dynamical change of Pareto index in Japanese land prices
Abstract
Description
We investigate the dynamical behavior in the large scale region of non-equilibrium systems, by employing data on the assessed value of land in 1983 -- 2006 Japan. In the system we find the detailed quasi-balance, which has the symmetry: x_1 -> a {x_2}^θ (x_1 and x_2 are two successive land prices). By using the detailed quasi-balance and Gibrat's law, we derive Pareto's law with varying Pareto index annually. The parameter θcorresponds with the ratio of Pareto indices (μ_1 + 1)/(μ_2 + 1), and the relation is confirmed in the empirical data nicely.
11 pages, 11 figures, presented in Applications of Physics in Financial Analysis (APFA5), Torino, Italy, June 29 to July 1, 2006
11 pages, 11 figures, presented in Applications of Physics in Financial Analysis (APFA5), Torino, Italy, June 29 to July 1, 2006