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The statement was first proven by Claude Berge in 1959. [1] The theorem is primarily used in mathematical economics and optimal control . Statement of theorem
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.
Two input Leontief Production Function with isoquants. In economics, the Leontief production function or fixed proportions production function is a production function that implies the factors of production which will be used in fixed (technologically predetermined) proportions, as there is no substitutability between factors.
Pontryagin's maximum principle is used in optimal control theory to find the best possible control for taking a dynamical system from one state to another, especially in the presence of constraints for the state or input controls.
In simple terms, although profit is related to total cost, =, the enterprise can maximize profit by producing to the maximum profit (the maximum value of ) to maximize profit. But when the total cost increases, it does not mean maximizing profit Will change, because the increase in total cost does not necessarily change the marginal cost.
In the quest to find great investments, most investors focus on earnings to gauge a company's financial strength. This is a good start, but earnings can be misleading and incomplete. To get a ...
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.
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 ...