Interpreting the Parameters of a Cobb-Douglas Utility Function
A consumer's preferences for two goods, Good A and Good B, are represented by a utility function of the form u(A,B) = A^α * B^β, where A and B are the quantities of the goods consumed, and α and β are positive constants. Analyze the role of the exponents α and β in this function. How do their relative sizes (e.g., α > β, α < β, α = β) reflect the consumer's preferences between Good A and Good B? Provide a clear explanation for each case.
0
1
Tags
CORE Econ
Economics
Social Science
Empirical Science
Science
Economy
Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.3 Doing the best you can: Scarcity, wellbeing, and working hours - The Economy 2.0 Microeconomics @ CORE Econ
Analysis in Bloom's Taxonomy
Cognitive Psychology
Psychology
Related
Simplifying the Marginal Utility of Free Time for a Cobb-Douglas Function
Positive Parameters in Cobb-Douglas Function and Positive Marginal Utility
Hypothetical Cobb-Douglas Utility Function for Karim ()
Yvonne's Hypothetical Utility Function
Consider two individuals, Priya and David, whose preferences for goods X and Y are represented by the following utility functions:
- Priya: U(X, Y) = X^0.3 * Y^0.7
- David: U(X, Y) = X^0.6 * Y^0.4
Based on these functions, which of the following statements accurately compares their preferences?
Consumer Preference Analysis
Calculating Utility with a Cobb-Douglas Function
Consider a utility function of the form u(x,y) = x^α * y^β, where x and y represent quantities of two different goods, and the exponents α and β are positive constants. If the exponent α is greater than the exponent β, this implies that the consumer has a stronger relative preference for good x compared to good y.
Interpreting the Parameters of a Cobb-Douglas Utility Function
For a utility function of the form u(x,y) = x^α * y^β, where x and y are quantities of two goods and α and β are positive constants, match each component or relationship with its correct economic interpretation.
A utility function of the form u(x,y) = x^α * y^β, where x and y are quantities of two goods and α and β are positive constants, is used to represent a consumer's preferences. This type of function provides an ordinal measure of utility, meaning it is used for the ________ of consumption bundles rather than measuring the absolute magnitude of satisfaction.
A consumer's preferences for two goods, Good A and Good B, are represented by a utility function of the form U(A, B) = A^α * B^β. To determine the rate at which this consumer is willing to trade Good B for one more unit of Good A while keeping their total satisfaction constant, a specific ratio must be calculated. Arrange the following steps in the correct logical order to derive this ratio.
A consumer's preferences for two goods, X and Y, are represented by the utility function U(X, Y) = X^0.2 * Y^0.8. Which of the following utility functions represents the exact same preferences?
Analyzing Preferences for Consumption Bundles