We establish the existence and stability of the long-run wealth distribution in a credit constrained economy by applying the monotonicity condition developed by H. Hopenhayn and E. Prescott. There should emerge an egalitarian society in which all families experience upward and downward mobility, although a society of persistent inequality may occur in which rich entrepreneurs and poor lenders remain immobile between classes. The speed of transition from the latter to the former is shown to depend on the design of redistribution policies. Simulation results show that this occurs more rapidly when the government favours relatively rich lenders.
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