**3. Construction of the Model Used**

In order to study the imbalance of the consumption structure from the perspective of the income distribution, we need to expand the AIDS model. The AIDS model is to achieve the established utility level by minimizing the expenditure, and the Hicks demand function is obtained. By solving the duality problem of the AIDS model, the Marshallian demand function is solved according to the utility maximization principle under the budget constraint condition so the model contains the revenue items that can reflect the characteristics of the Chinese residents' consumption. The dynamic characteristics of the changes in the income distribution of the residents are then quantified; this part mainly draws on the research of Jenkins and Van Kerm [33]. After completing the decomposition of the change in the income distribution, the income distribution characteristic is introduced into the model by means of an anti-fact process.
