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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.
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 + +.
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.
Fundamental theorem of arbitrage-free pricing (financial mathematics) Fundamental theorem of arithmetic (number theory) Fundamental theorem of calculus ; Fundamental theorem of Galois theory (Galois theory) Fundamental theorem on homomorphisms (abstract algebra) Fundamental theorems of welfare economics
In welfare economics, the theory of the second best concerns the situation when one or more optimality conditions cannot be satisfied. [1] The economists Richard Lipsey and Kelvin Lancaster showed in 1956 that if one optimality condition in an economic model cannot be satisfied, it is possible that the next-best solution involves changing other variables away from the values that would ...
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Pages in category "Economics theorems" ... Frisch–Waugh–Lovell theorem; Fundamental theorems of welfare economics; G. Gibbard–Satterthwaite theorem;