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Engel's argument is formalized in neoclassical consumer theory, which conceives of the relationship between income and consumption patterns in terms of utility optimization. In such models, consumers allocate their expenditures to goods and services with the highest marginal utility. After basic needs are satiated, the marginal utility from ...
In the philosophy of economics, economics is often divided into positive (or descriptive) and normative (or prescriptive) economics.Positive economics focuses on the description, quantification and explanation of economic phenomena, [1] while normative economics discusses prescriptions for what actions individuals or societies should or should not take.
The Lorenz curve is invariant under positive scaling. If X is a random variable, for any positive number c the random variable c X has the same Lorenz curve as X. The Lorenz curve is flipped twice, once about F = 0.5 and once about L = 0.5, by negation. If X is a random variable with Lorenz curve L X (F), then −X has the Lorenz curve:
The basic idea is to convert a constrained problem into a form such that the derivative test of an unconstrained problem can still be applied. The relationship between the gradient of the function and gradients of the constraints rather naturally leads to a reformulation of the original problem, known as the Lagrangian function or Lagrangian. [2]
The essay argues that a useful economic theory should not be judged primarily by its tautological completeness, however important in providing a consistent system for classifying elements of the theory and validly deriving implications therefrom. Rather a theory (or hypothesis) must be judged by its:
According to Kaldor, “The purpose of a theory of economic growth is to show the nature of non-economic variables which ultimately determine the rate at which the general level of production of the economy is growing, and thereby contribute to an understanding of the question of why some societies grow so much faster than others.” [2] [1]
In these macroeconomic models with sticky prices, there is a positive relation between the rate of inflation and the level of demand, and therefore a negative relation between the rate of inflation and the rate of unemployment. This relationship is often called the "New Keynesian Phillips curve".
In mathematics and economics, the envelope theorem is a major result about the differentiability properties of the value function of a parameterized optimization problem. [1] As we change parameters of the objective, the envelope theorem shows that, in a certain sense, changes in the optimizer of the objective do not contribute to the change in ...