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The maximum theorem provides conditions for the continuity of an optimized function and the set of its maximizers with respect to its parameters. The statement was first proven by Claude Berge in 1959. [1]
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Statements consisting only of original research should be removed. ( March 2018 ) ( Learn how and when to remove this message ) The whole of neoclassical equilibrium analysis implies that Say's law in the first place functioned to bring a market into this state: that is, Say's law is the mechanism through which markets equilibrate uniquely.
The following is the statement of the theorem in the books of Morrey and Smoller, following the original statement of Hopf (1927): Let M be an open subset of Euclidean space ℝ n. For each i and j between 1 and n, let a ij and b i be continuous functions on M with a ij = a ji. Suppose that for all x in M, the symmetric matrix [a ij] is ...
The underlying theme of the book, as Landsburg states on the first page, is that "[m]ost of economics can be summarized in four words: People respond to incentives." With this apparently innocuous observation, Landsburg discusses some unexpected effects of various policies such as automobile safety legislation and environmental policies.
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).
Book I is broken down into six chapters that begin to define economics. The text starts by describing that economics and politics differ in two major ways, one, in the subjects with which they deal and two, the number of rulers involved. Like an owner of a house, there is only one ruling in an economy, while politics involves many rulers.
In economics, distribution is the way total output, income, or wealth is distributed among individuals or among the factors of production (such as labour, land, and capital). [1] In general theory and in for example the U.S. National Income and Product Accounts , each unit of output corresponds to a unit of income.