Bruno's Profit Incentive to Increase Angela's Free Time When MRS > MRT
When Angela works more than the optimal amount (i.e., has less than 16 hours of free time), her Marginal Rate of Substitution (MRS) is greater than the Marginal Rate of Transformation (MRT). In this situation, her indifference curve is steeper than the feasible frontier. This creates an incentive for Bruno to increase his own profit by offering Angela more free time. Although this reduces the total grain output, the amount of grain required to keep Angela on her reservation indifference curve (IC1) decreases by an even larger margin. This difference results in a net gain for Bruno.
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Ch.5 The rules of the game: Who gets what and why - The Economy 2.0 Microeconomics @ CORE Econ
The Economy 2.0 Microeconomics @ CORE Econ
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Bruno's Profit Incentive to Increase Angela's Free Time When MRS > MRT
Bruno's Profit Incentive to Decrease Angela's Free Time When MRS < MRT
Bruno's Reservation Option and Economic Rent in the Coercion Model
Bruno's Profit-Maximizing Allocation D (16, 15) and His Economic Rent
A powerful landowner controls a plot of land and can dictate the working hours of a tenant farmer. The tenant has a 'survival threshold' which represents the minimum combinations of grain and free time they are willing to accept. The landowner's goal is to maximize their own share of the grain harvest while ensuring the tenant remains at this survival threshold.
Currently, the tenant is working a certain number of hours. At this specific allocation:
- The rate at which an additional hour of the tenant's labor can be transformed into grain is 3 bushels.
- The rate at which the tenant is willing to give up an hour of free time for more grain (while staying on their survival threshold) is 2 bushels.
What should the landowner do to increase their own share of the grain?
Profit Maximization with a Participation Constraint
Optimizing Surplus under a Participation Constraint
Optimizing Surplus under a Participation Constraint
A landowner seeks to maximize their share of grain from a tenant farmer, who must be kept on their reservation indifference curve (their minimum acceptable outcome). If, at the current allocation, the rate at which the tenant's labor produces additional grain is greater than the rate at which the tenant is willing to trade free time for that grain, the landowner can increase their own share by granting the tenant more free time.
Surplus Maximization under a Participation Constraint
A landowner seeks to maximize their share of a grain harvest produced by a tenant farmer. The landowner can determine the tenant's work hours but must ensure the tenant receives a combination of grain and free time that meets their minimum acceptable living standard. At the current allocation of work hours, the following is true:
- The rate at which an additional hour of the tenant's labor is transformed into grain is 2 bushels.
- The rate at which the tenant is willing to give up grain for an additional hour of free time (while maintaining their minimum living standard) is 4 bushels.
To increase their own share of the grain, what action should the landowner take?
A landowner seeks to maximize their share of a grain harvest produced by a tenant farmer. The landowner can dictate the farmer's working hours but must provide the farmer with a combination of grain and free time that meets the farmer's minimum acceptable living standard. Which of the following scenarios describes the allocation that maximizes the landowner's share of the grain?
A landowner is deciding on the work hours for a tenant farmer. The landowner's goal is to maximize their own share of the grain harvest, while ensuring the tenant's combination of grain and free time keeps them at their minimum acceptable living standard. The landowner is considering three potential allocations:
- Allocation X: The rate at which an hour of the tenant's labor can be transformed into grain is 4 bushels. The rate at which the tenant is willing to trade an hour of free time for grain is 2 bushels.
- Allocation Y: The rate at which an hour of the tenant's labor can be transformed into grain is 3 bushels. The rate at which the tenant is willing to trade an hour of free time for grain is 3 bushels.
- Allocation Z: The rate at which an hour of the tenant's labor can be transformed into grain is 2 bushels. The rate at which the tenant is willing to trade an hour of free time for grain is 4 bushels.
Which allocation should the landowner choose to maximize their share of the grain?
Explaining the Surplus-Maximizing Condition
Profit-Maximizing Condition under Coercion: MRT = MRS
Learn After
A landowner is reviewing the terms for a tenant farmer. Under the current agreement, the farmer has 14 hours of free time per day. The landowner observes that at this point, the farmer would be willing to give up 4 bushels of grain to gain one additional hour of free time. The landowner also calculates that increasing the farmer's free time by one hour would cause the total harvest to decrease by only 2.5 bushels. To maximize personal profit, what is the landowner's best course of action and why?
Analyzing a Landowner's Incentive
Optimizing a Worker's Schedule for Profit
A profit-maximizing landowner observes that for their tenant farmer, the rate at which the farmer is willing to sacrifice grain for an extra hour of leisure is currently 5 bushels. The landowner also knows that giving the farmer an extra hour of leisure would reduce the total harvest by 3 bushels. Based on this information, the landowner should compel the farmer to work longer hours to increase the total grain output.
Economic Rationale for Increasing Leisure Time
A profit-maximizing landowner is determining the daily work hours for a tenant farmer. The farmer must be kept at a minimum level of satisfaction. Match each scenario describing the trade-offs at the current work hours with the landowner's best course of action.
A landowner's profit is the total grain produced by a tenant farmer minus the grain the farmer receives. Currently, the farmer works 12 hours, produces 60 bushels, and receives 30 bushels, leaving the landowner with a profit of 30 bushels. At this point, the farmer is willing to give up 4 bushels of grain for one additional hour of free time. If the landowner grants this extra hour, total production will fall to 57 bushels. If the landowner makes this change, the new profit will be ____ bushels.
A profit-maximizing landowner is considering adjusting a tenant farmer's work hours. Currently, the amount of grain the farmer is willing to trade for an extra hour of free time is greater than the amount of grain that would be lost in production if that hour were taken. Arrange the following steps in the logical order the landowner would follow to realize that increasing the farmer's free time would raise the landowner's profit.
Analyzing Surplus Gains from Adjusting Work Hours
A landowner is analyzing the work arrangement for a tenant farmer. At the current allocation of work and grain, the slope of the farmer's indifference curve (representing the rate the farmer is willing to trade grain for free time) is -4. The slope of the feasible production frontier (representing the rate at which free time can be transformed into grain) is -2.5. To maximize profit, what action should the landowner take?