on the analysis of a general nonlinear operator for a model in random markets

A generalization of the continuous economic model is pro- posed for random markets. in this model, agents interact by pairs and exchange their money in a random way, in general, with possibly non- constant total amount of money'. this model takes the form of an iterated nonlinear map of the distribution of wealth. we show the only way to reach equilibrium xed point distribution is the agents to share their money without expansion or contraction factor.