Modeling altruism and selfishness in welfare dynamics: The role of nonlinear interactions
Marina Dolfin, Mirosław Lachowicz
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Source: Crossref
Published: Aug 15, 2014
DOI: 10.1142/s0218202514500237
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This paper deals with the modeling, qualitative and numerical analysis, of welfare dynamics in societies viewed as complex evolutive systems subject to different policies of wealth distribution. A nonlinear model of wealth distribution is presented. The state of a population is modeled by a probability distribution over wealth classes and the dynamic of interaction is parameterized by a threshold, whose dynamics depends on an internal competition related to the wealth distribution. Therefore, the model is a system of equations in which the threshold is one of the dynamic variables. The approach contains the whole path from modeling to simulations, through a qualitative analysis of the initial value problem.
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