Social Welfare Function
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Social Welfare Function
In welfare economics and social choice theory, a social welfare function—also called a social ordering, ranking, utility, or choice function—is a function that ranks a set of social states by their desirability. Each person's preferences are combined in some way to determine which outcome is considered better by society as a whole. It can be seen as mathematically formalizing Rousseau's idea of a general will. Social choice functions are studied by economists as a way to identify socially-optimal decisions, giving a procedure to rigorously define which of two outcomes should be considered better for society as a whole (e.g. to compare two different possible income distributions). They are also used by democratic governments to choose between several options in elections, based on the preferences of voters; in this context, a social choice function is typically referred to as an electoral system. The notion of social utility is analogous to the notion of a utility fu ...
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Welfare Economics
Welfare economics is a field of economics that applies microeconomic techniques to evaluate the overall well-being (welfare) of a society. The principles of welfare economics are often used to inform public economics, which focuses on the ways in which government intervention can improve social welfare. Additionally, welfare economics serves as the theoretical foundation for several instruments of public economics, such as cost–benefit analysis. The intersection of welfare economics and behavioral economics has given rise to the subfield of behavioral welfare economics. Two fundamental theorems are associated with welfare economics. The first states that competitive markets, under certain assumptions, lead to Pareto efficient outcomes. This idea is sometimes referred to as Adam Smith's invisible hand. The second theorem states that with further restrictions, any Pareto efficient outcome can be achieved through a competitive market equilibrium, provided that a social ...
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