Some characteristic properties of resource distribution nonuniformity in economic systems

In this article the research on two-parameter Lorenz curve approximants is continued. Several characteristic properties of one such family of two-parameter functions used to approximate the Lorenz curve is studied. Several interpretations of the functional parameters are introduced. Distribution density functions that correspond to various values of parameters of the class of functions used to approximate the Lorenz curve are analysed. The implications and the value brought to the study of nonuniformity of resource distributions by this introduction is discussed. The ties between the values of the parameters and statistic estimators are tested. It is concluded that the values of the approximant parameters are connected to the coefficient of kurtosis and the value of the interquartile range. An interpretation of the approximant parameters with regards to economic inequality is suggested. The special case corresponding to uniform distribution of the shares of the resource allocated to separate agents is distinguished and discussed. It is concluded that it is of special value with regards to solving the problem of finding the optimal distribution of a resource within an economic system. © 2018 CEUR-WS. All Rights Reserved.