  In this paper we present detailed simulation results on the wealth
distribution model with quenched saving propensities. Unlike other wealth
distribution models where the saving propensities are either zero or constant,
this model is not found to be ergodic and self-averaging. The wealth
distribution statistics with a single realization of quenched disorder is
observed to be significantly different in nature from that of the statistics
averaged over a large number of independent quenched configurations. The
peculiarities in the single realization statistics refuses to vanish
irrespective of whatever large sample size is used. This implies that
previously observed Pareto law is essentially a convolution of the single
member distributions.
