Wealth distribution on complex networks with losses

Wealth distribution plays an important role in the field of econophysics. In this paper, this issue is investigated based on the Bouchaud and Mézard (BM) wealth distribution model by the method of complex networks in this paper. Previous reports usually assumed that wealth increased steadily or was transferred from one agent to another. However, wealth may be lost due to some natural disasters or incidents. Therefore, we introduce terms representing losses in the BM model to describe the economic behavior more precisely. We find that an anti-degree preference helps to create an equitable economic environment. The Gini coefficient of the wealth distribution is calculated, and an optimized preferential parameter is obtained for both the case with losses and the case without losses. For variable values of the parameter, the corresponding results are obtained and discussed. If network topologies are considered, we find that a homogeneous network prompts an equitable economic environment. Simulations prove that losses enlarge the rich-poor gap.