社会福利函数与拟序下的不公平测度研究

Social welfare function and the Quasi-Ordering of inequality measurement

收入分配的不公平测度是福利经济学研究的一个主要问题.本文首先将不公平度量的四个基本公理应用到福利函数、不公平指数和拟序下不公平测度中去,研究表明:3种测度均满足人口原则、对称性和齐次性.再将平移不变性应用到不公平指数和拟序下不公平的测度中,研究结论得出:在一定条件下,个体效用、依赖秩的社会福利函数与拟序下的不公平指数性质等价.以上研究结论为收入分配的不公平度量提供了新的理论依据.

Inequality measurement of income distribution is a basic question in welfare economics. Firstly, This article applies four basic principles of inequality measurement to the welfare function, inequality index and inequality measurement for Quasi-Ordering. The research shows that three kinds of measures are to meet the principle of population, symmetry and homogeneity. And then, it applies the transnational invariance to inequality index and inequality measurement for Quasi-Ordering, and draws a conclusion： under certain conditions, the individual utility and relying rank of social welfare function have equivalent properties to the Quasi-Ordering of inequality index. The above research conclusions provide a new theoretical basis for inequality measurement of income distribution.