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There are two fundamental theorems of welfare economics. The first states that in economic equilibrium , a set of complete markets , with complete information , and in perfect competition , will be Pareto optimal (in the sense that no further exchange would make one person better off without making another worse off).
The second fundamental theorem states that given further restrictions, any Pareto efficient outcome can be supported as a competitive market equilibrium. [3] These restrictions are stronger than for the first fundamental theorem, with convexity of preferences and production functions a sufficient but not necessary condition.
The first fundamental theorem of welfare economics [ edit ] We have seen that the points of tangency of indifference curves are the Pareto optima, but we also saw previously that the economic equilibria are those points at which indifference curves are tangential to a common price line.
The first welfare theorem also holds for economies with production regardless of the properties of the production function. Implicitly, the theorem assumes complete markets and perfect information. In an economy with externalities , for example, it is possible for equilibria to arise that are not efficient.
According to the definition of market failure, it is a circumstance in which the conclusion of the first fundamental theorem of welfare is erroneous; that is, when the allocations made through markets are not efficient. [19] In a free market, market failure is defined as an inefficient allocation of resources.
Second fundamental theorem of welfare economics — For any total endowment , and any Pareto-efficient state achievable using that endowment, there exists a distribution of endowments {} and private ownerships {,}, of the producers, such that the given state is a market equilibrium state for some price vector + +.
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The first fundamental welfare theorem provides some basis for the belief in efficiency of market economies, as it states that any perfectly competitive market equilibrium is Pareto efficient. The assumption of perfect competition means that this result is only valid in the absence of market imperfections, which are significant in real markets.