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Substitute goods are commodity which the consumer demanded to be used in place of another good. Economic theory describes two goods as being close substitutes if three conditions hold: [3] products have the same or similar performance characteristics; products have the same or similar occasion for use and; products are sold in the same ...
The concept of the elasticity of substitution was developed by two different economists, each with their own focus. One of these economists was John Hicks, who defined elasticity of substitution as the change in percentage in the relative number of factors of production used, given a particular change in percentage in relative prices or marginal products.
In auction theory and competitive equilibrium theory, a valuation function is said to have the gross substitutes (GS) property if for all pairs of commodities: () (). I.e., the definition includes both substitute goods and independent goods , and only rules out complementary goods .
In economics, gross substitutes (GS) is a class of utility functions on indivisible goods.An agent is said to have a GS valuation if, whenever the prices of some items increase and the prices of other items remain constant, the agent's demand for the items whose price remain constant weakly increases.
Constant elasticity of substitution (CES) is a common specification of many production functions and utility functions in neoclassical economics.CES holds that the ability to substitute one input factor with another (for example labour with capital) to maintain the same level of production stays constant over different production levels.
The general definition of the elasticity of X with respect to Y is = % % , which reduces to = for infinitesimal changes and differentiable variables. The elasticity of substitution is the change in the ratio of the use of two goods with respect to the ratio of their marginal values or prices.
Under the standard assumption of neoclassical economics that goods and services are continuously divisible, the marginal rates of substitution will be the same regardless of the direction of exchange, and will correspond to the slope of an indifference curve (more precisely, to the slope multiplied by −1) passing through the consumption bundle in question, at that point: mathematically, it ...
If the two concert prices are the same, the consumer is completely indifferent and may flip a coin to decide. To see this mathematically, differentiate the utility function to find that the MRS is constant - this is the technical meaning of perfect substitutes. As a result of this, the solution to the consumer's constrained maximization problem ...