A socialwelfare function, in welfare economics, is a function which gives a measure of the material welfare of society, given a number of economic variables as inputs.
In this form, socialwelfare is a function of the levels of utility of members in society.
Here, the socialwelfare of society is taken to be related to the income of the poorest person in the society, and maximising welfare would mean maximising the income of the poorest person without regard for the incomes of the others.
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