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Modeling Altruistic Choice as a Budget Allocation Problem
Zoë's decision on sharing her winnings can be modeled as a standard budget allocation problem. In this framework, her £200 prize acts as the 'budget'. The two 'goods' between which she allocates this budget are the amount of money she keeps for herself and, assuming she is altruistic, the amount she gives to Yvonne. Her preferences for different combinations of these monetary shares are then represented by indifference curves, which are used to graphically determine her optimal choice.
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Introduction to Microeconomics Course
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CORE Econ
Ch.4 Strategic interactions and social dilemmas - The Economy 2.0 Microeconomics @ CORE Econ
The Economy 2.0 Microeconomics @ CORE Econ
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Optimal Choices for Altruistic vs. Self-Interested Preferences in Zoë's Dilemma
Zoë's Constrained Optimization Problem
An individual wins £200 and is deciding how much, if any, to share with a friend. The winner's personal satisfaction increases with both the amount of money they keep and the amount their friend receives. Suppose that just before the decision is made, the winner learns that their friend has unexpectedly received a separate £50 gift from another source. How would this new information most likely alter the winner's sharing decision regarding the £200 prize?
Analyzing Preferences in a Sharing Scenario
An individual with purely self-interested preferences wins a £200 prize. This individual would be indifferent between the outcome where they keep all £200 for themselves and an alternative outcome where they keep £150 and give £50 to a friend.
An individual with altruistic preferences wins a £200 prize and is deciding how to split it with a friend. The individual's happiness increases with both the amount of money they keep and the amount their friend receives. Given this, which of the following statements most accurately describes their likely decision-making process?
Inferring Preferences from Choices
An individual wins a £200 prize and is deciding how to allocate it between themself and a friend. The individual's preferences are altruistic, meaning their personal satisfaction is positively affected by both the amount they keep and the amount their friend receives. Given four potential scenarios, which outcome would result in the lowest level of satisfaction for this individual?
Evaluating Altruism from Observed Choices
An individual wins a £200 prize and must decide how to allocate it between themself and a friend. Match each of the following preference types to the allocation choice that an individual holding those preferences would most likely make.
Deconstructing an Altruistic Choice
Zoë's Feasible Set and Budget Constraint in the Lottery Dilemma
Altruistic Choice as a Decision Problem, Not a Game
Modeling Altruistic Choice as a Budget Allocation Problem
Social Preferences Determine Indifference Curve Shape (Figure 4.10)
Learn After
Zoë's Utility Function for Altruistic Choice
An individual must decide how to allocate a fixed sum of money between themself and another person. The accompanying graph illustrates this choice. The straight diagonal line represents all possible allocations (the feasible frontier). The curved lines are the individual's indifference curves, where curves further from the origin represent higher levels of personal satisfaction. Which point represents the individual's optimal allocation, and why?
Analyzing an Altruistic Decision
Analysis of a Suboptimal Altruistic Choice
Consider a graphical model where an individual is deciding how to allocate a fixed sum of money between themself and another person. The straight line represents all possible allocations, and the curved lines represent the individual's levels of satisfaction (with curves further from the origin indicating higher satisfaction). If a specific allocation point lies on the straight line but is intersected by a satisfaction curve (rather than being just tangent to it), this point represents the best possible choice for the individual.
Interpreting Preferences in an Altruistic Choice Model
In a graphical model representing an individual's decision on how to allocate a fixed sum of money between themself and another person, match each graphical component to its correct interpretation.
In a graphical model of altruistic choice, the optimal allocation of a fixed sum of money between oneself and another person occurs at the point of tangency between the feasible frontier and an indifference curve. At this specific point, the individual's marginal rate of substitution (the rate at which they are willing to trade their own money for the other person's) is exactly ______ to the marginal rate of transformation (the rate at which they can trade their own money for the other person's).
You are tasked with creating a graphical model to determine the optimal way for an individual to allocate a fixed sum of money between themself and another person, based on their personal preferences. Arrange the following steps in the correct logical order to construct this model and find the solution.
The provided graph illustrates how an individual decides to split a £200 windfall between themself (horizontal axis) and a friend (vertical axis). The straight diagonal line shows all possible allocations. The curved lines represent the individual's satisfaction levels, with curves further from the origin representing higher satisfaction. Initially, the individual's optimal choice is at Point A (£140 for themself, £60 for their friend). Suppose the individual's attitude changes, and they become substantially more altruistic, valuing their friend's gain more than they did before. Which of the following points is the most plausible new optimal choice?
Impact of a Matching Grant on Altruistic Choice
Figure 4.10 (Left Panel) - Visualizing Zoë's Altruistic Preferences
Optimal Choice as Utility Maximization under Constraints
Principle of Constrained Utility Maximization