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The Mincer earnings function is a single-equation model that explains wage income as a function of schooling and experience. It is named after Jacob Mincer. [1] [2] Thomas Lemieux argues it is "one of the most widely used models in empirical economics". The equation has been examined on many datasets.
This equation is a rearrangement of the definition of velocity: :=. As such, without the introduction of any assumptions, it is a tautology . The quantity theory of money adds assumptions about the money supply, the price level, and the effect of interest rates on velocity to create a theory about the causes of inflation and the effects of ...
Convexity is a geometric property with a variety of applications in economics. [1] Informally, an economic phenomenon is convex when "intermediates (or combinations) are better than extremes". For example, an economic agent with convex preferences prefers combinations of goods over having a lot of any one sort of good; this represents a kind of ...
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics.Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods.
A competitive equilibrium is a price vector and an allocation in which the demands of all agents are satisfied (the demand of each good equals its supply). In a linear economy, it consists of a price vector and an allocation , giving each agent a bundle such that:
Theorem — Let be a positive integer. If : {: =,, >} is a set-valued function with closed graph that satisfies Walras's law, then there exists an economy with households indexed by , with no producers ("pure exchange economy"), and household endowments {} such that each household satisfies all assumptions in the "Assumptions" section except the "strict convexity" assumption, and is the excess ...
In econometrics, the equations of a structural form model are estimated in their theoretically given form, while an alternative approach to estimation is to first solve the theoretical equations for the endogenous variables to obtain reduced form equations, and then to estimate the reduced form equations. Let Y be the vector of the variables to ...
Roy's identity reformulates Shephard's lemma in order to get a Marshallian demand function for an individual and a good from some indirect utility function.. The first step is to consider the trivial identity obtained by substituting the expenditure function for wealth or income in the indirect utility function (,), at a utility of :