  We studied the Bouchaud-M\'ezard(BM) model, which was introduced to explain
Pareto's law in a real economy, on a random network. Using "adiabatic and
independent" assumptions, we analytically obtained the stationary probability
distribution function of wealth. The results shows that wealth-condensation,
indicated by the divergence of the variance of wealth, occurs at a larger $J$
than that obtained by the mean-field theory, where $J$ represents the strength
of interaction between agents. We compared our results with numerical
simulation results and found that they were in good agreement.
