Learn Before
Yvonne's Hypothetical Utility Function
This formula models a hypothetical set of preferences for Yvonne using the utility function . In this equation, represents the amount of money Yvonne possesses, and is the amount Zoë has. This function is an example of a Cobb-Douglas utility function, where the parameters and would determine the specific nature of her social preferences.
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CORE Econ
Economics
Social Science
Empirical Science
Science
Economy
Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.4 Strategic interactions and social dilemmas - The Economy 2.0 Microeconomics @ CORE Econ
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
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.
Learn After
Yvonne's Allocation Decision After Winning the Lottery
A large technology firm, which holds a dominant position in the operating system market, invests billions in developing a next-generation artificial intelligence. In contrast, a small-scale wheat farmer, operating in a market with thousands of other farmers selling identical crops, does not invest in developing a new, revolutionary irrigation system. Which statement best analyzes the economic incentive behind these different investment decisions?
A researcher models an individual's social preferences using the utility function u(y,z) = y^2 * z^(-1), where 'y' is the individual's own income and 'z' is a colleague's income. If both the individual and the colleague currently have the same income, which of the following scenarios would result in the greatest increase in the individual's utility?
Interpreting Social Preferences in a Utility Function
An individual's social preferences can be modeled with the utility function u(y,z) = y^a * z^b, where 'y' is their own wealth, 'z' is another person's wealth, and the parameter 'a' is assumed to be positive (a > 0). Match each description of a social preference to the parameter conditions that best represent it.
Yvonne's Donation Decision
Consider an individual's preferences modeled by the utility function u(y,z) = y^a * z^b, where 'y' is their own wealth, 'z' is another person's wealth, and both 'a' and 'b' are positive constants.
True or False: If both the individual's wealth and the other person's wealth were to double, the individual's resulting utility would also exactly double, regardless of the specific positive values of 'a' and 'b'.
Social Welfare Policy Evaluation
Critique of a Social Preference Model
In a social preference model represented by the utility function u(y,z) = y^a * z^b, where 'y' is an individual's own wealth and 'z' is another person's wealth, a negative value for the parameter 'b' (i.e., b < 0) indicates a preference that can be described as ____.
An individual's social preferences are modeled by the utility function u(y,z) = y^0.5 * z^0.5, where 'y' is the amount of money they possess, and 'z' is the amount of money a friend possesses. Initially, both the individual and their friend have $100 each. If the individual's money decreases to $64, how much must the friend's money increase for the individual's utility to return to its original level?
An individual's social preferences can be modeled with the utility function u(y,z) = y^a * z^b, where 'y' is their own wealth, 'z' is another person's wealth, and the parameter 'a' is assumed to be positive (a > 0). Match each description of a social preference to the parameter conditions that best represent it.