Modeling Fishermen's Utility in the Weevokil Model
In the Weevokil model, the fishermen's utility is directly linked to their fishing profits, which are negatively impacted by pollution from banana production. To capture this, their utility is expressed as the sum of two distinct parts: one component that is dependent on the quantity of banana output (Q), and another component that is not.
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CORE Econ
Introduction to Microeconomics Course
Ch.10 Market successes and failures: The societal effects of private decisions - The Economy 2.0 Microeconomics @ CORE Econ
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Modeling Fishermen's Utility in the Weevokil Model
Modeling the Plantation Owner's Payoff in the Weevokil Model
Modeling Preferences in an Externality Scenario
In an economic model, a plantation's production of a good generates pollution that negatively affects the profits of a nearby fishery. The well-being (utility) for both the plantation owner and the fishermen is assumed to be based entirely on their net monetary profits. Why is the assumption of quasi-linear preferences—where utility is the sum of a monetary component and a component dependent on the quantity of the good produced—a justifiable choice for this model?
Justification of Utility Representation in Externality Models
In an economic model where a plantation's production of a good imposes a cost on a nearby fishery, the assumption of quasi-linear preferences for the parties involved is justified because it implies that their overall satisfaction (utility) is completely independent of their monetary income.
Deconstructing Utility in an Externality Model
In an economic model analyzing the conflict between a banana plantation (whose output is Q) and a nearby fishery, both parties' well-being is tied to their net profits. Match each component of the model to its correct description or justification.
An economist is modeling the negative externality between a paper mill and a downstream fishery. The mill's pollution harms the fishery's profits. The economist assumes that the well-being (utility) of both the mill owner and the fishery owner is determined solely by their net monetary profits. A key result of this model is that the marginal cost of the pollution damage is constant and does not depend on the initial wealth of either party. Which modeling assumption is directly responsible for this specific analytical simplification?
In an economic model where a factory's production (Q) creates a negative externality for a local community, analysts often assume the community's utility can be represented by a quasi-linear function. This function separates utility into a component that depends on the factory's output and a component that does not. This modeling choice is most defensible when the harm caused by the externality can be directly and fully captured as a change in the community's net ______ profits or income.
An economic model analyzes the negative externality between a chemical plant and a nearby residential community. The model justifies using quasi-linear preferences for the community by assuming their well-being (utility) is based entirely on their net monetary outcomes. In which of the following situations would this modeling assumption be the LEAST justifiable?
Evaluating a Utility Function in an Externality Model
Learn After
Components of Fishermen's Utility in the Weevokil Model
Definition of Marginal External Cost in the Weevokil Banana Model
A group of fishermen earns income from two sources: a fixed salary from part-time work, and profits from fishing in a local river. A nearby banana plantation's production (represented by quantity Q) pollutes the river, which directly reduces the fishermen's profits from fishing. As the plantation produces more bananas, the pollution worsens, and fishing profits decrease at an increasing rate. Which of the following utility functions, U(Q), most accurately models the fishermen's overall well-being based on this situation?
Modeling Utility with Externalities
Constructing a Utility Function with an Externality
Harvest Shortfall and Price Impact
Within a model where fishermen's well-being is negatively impacted by pollution from banana production (Q), a valid way to represent their utility is as a single, unified function that increases with Q, assuming that greater banana output also boosts the overall local economy, benefiting the fishermen indirectly.
The utility (overall well-being) of a group of fishermen is modeled by the function
U(Q) = 5000 - 2Q^2, where Q is the quantity of bananas produced by a nearby plantation. Match each term from this model to its correct description.An independent farmer, who keeps all the food she produces, is trying to decide how many hours to work. At her current choice of 16 hours of free time and 9 bushels of grain, she determines two things: 1) She would be willing to give up 4 bushels of grain for one more hour of free time. 2) Her production schedule shows that if she works one hour less (gaining one hour of free time), her grain output will fall by only 3 bushels. Based on this information, what should the farmer do to increase her overall satisfaction?
Justifying the Structure of a Utility Function with an Externality
A community of shrimpers' overall economic well-being (utility) is negatively affected by the output (Q) of a nearby coastal factory. Their utility is modeled by the function
U(Q) = 25,000 - 10Q^2. In this model, what is the economic interpretation of the component25,000?A community of fishermen's overall well-being (utility) is modeled by the function
U(Q) = 50,000 - 4Q^2, where Q represents the tons of output from a nearby chemical plant that pollutes their fishing grounds. Initially, the plant produces 20 tons of output. Due to new environmental regulations, the plant reduces its output to 15 tons. What is the resulting change in the fishermen's total utility?