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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] The theorem is primarily used in mathematical economics and optimal control.
However, there is no hard and fast definition as to what is classified as "long" or "short" and mostly relies on the economic perspective being taken. Marshall's original introduction of long-run and short-run economics reflected the 'long-period method' that was a common analysis used by classical political economists.
In economics, an expansion path (also called a scale line [1]) is a path connecting optimal input combinations as the scale of production expands. [2] It is often represented as a curve in a graph with quantities of two inputs, typically physical capital and labor , plotted on the axes.
Motivation affects students' participation in classroom activities and academic success. Motivation plays a key role in education since it affects the students' engagement with the studied topic and shapes their learning experience and academic success. Motivated students are more likely to participate in classroom activities and persevere ...
An economic theory that defines wealth by the amount of precious metals owned. [48] business cycle. Also called the economic cycle or trade cycle. The downward and upward movement of gross domestic product (GDP) around its long-term growth trend. [49] The length of a business cycle is the period of time containing a single boom and contraction ...
If Walras's law has been satisfied, the optimal solution of the consumer lies at the point where the budget line and optimal indifference curve intersect, this is called the tangency condition. [3] To find this point, differentiate the utility function with respect to x and y to find the marginal utilities, then divide by the respective prices ...
Theory X and Theory Y are theories of human work motivation and management. They were created by Douglas McGregor while he was working at the MIT Sloan School of Management in the 1950s, and developed further in the 1960s. [1] McGregor's work was rooted in motivation theory alongside the works of Abraham Maslow, who created the hierarchy of needs.
The theory entails that there is a limit to how much one factor can be substituted for another. When production reaches a point where substitution between the factors becomes impossible (MP LK), the isoquant becomes positively sloping. No rational entrepreneur will operate at a point outside the ridge lines (Region of Economic Nonsense). [1]