Payoff Calculation in the Irrigation Game with Two Other Contributors
This example illustrates how a farmer, Kim, calculates her payoff in the irrigation game under the scenario where two other farmers have already contributed. If Kim chooses not to contribute, her payoff is $16, which is the sum of the $8 benefit she receives from each of the two contributors, with no personal cost. If she decides to contribute as well, making her the third contributor, she receives an additional $8 benefit. However, she must also subtract her contribution cost of $10, resulting in a lower net payoff of $14.
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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
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Payoff Calculation in the Irrigation Game with Two Other Contributors
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Figure 4.9: Kim's Payoffs in the Irrigation Game
Payoff from Full Cooperation in the Irrigation Game
Four farmers are deciding whether to contribute to a shared irrigation project. For each farmer who contributes, all four farmers (including non-contributors) receive an $8 benefit. The personal cost for an individual to contribute is $10. Suppose you are one of the farmers, and you know that exactly two of the other three farmers have decided to contribute. Analyze your two possible outcomes: what is your final payoff if you decide to contribute, versus if you decide not to contribute?
Payoff Calculation Error Analysis
A game involves four farmers deciding whether to contribute to a shared irrigation project. The personal cost to contribute is $10. For every single farmer who contributes, all four farmers (including any who did not contribute) receive an $8 benefit. True or False: Holding the actions of the other three farmers constant, an individual farmer's net payoff is always exactly $2 lower if they choose to contribute than if they choose not to contribute.
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In a public project scenario involving four participants, the personal cost to contribute is $10. For every individual who contributes, all four participants (including non-contributors) receive a benefit of $8. If a particular participant decides to contribute, and a total of three participants (including them) end up contributing, that participant's final net payoff is $____.
A scenario involves four farmers deciding on a shared project. Contributing costs a farmer $10. For each contribution made (by any farmer), all four farmers receive an $8 benefit. Consider the perspective of one specific farmer who has decided NOT to contribute. Arrange the following scenarios in descending order, from the one that results in the highest payoff for this non-contributing farmer to the one that results in the lowest payoff.
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In a collaborative project, four participants can each choose to contribute. A contribution costs the individual $10. For every contribution made by any participant, all four participants (including non-contributors) each receive an $8 benefit. From the perspective of a single participant, what is the minimum number of other participants who must contribute for that single participant's own decision to contribute to result in a positive net payoff (i.e., a payoff greater than $0)?
Learn After
A farmer named Maria is deciding whether to help build a shared irrigation ditch. The personal cost for any farmer who contributes is $10. For each farmer who contributes, every farmer in the community gets an $8 benefit in increased crop yields. Maria knows that two other farmers have already contributed. To maximize her own personal payoff, what should Maria do?
Analyzing Historical Economic Arguments
Irrigation Project Payoff Decision
Irrigation Project Payoff Decision
In a community irrigation project where the personal cost to contribute is $10 and each contribution provides an $8 benefit to every farmer, an individual farmer's personal payoff is always maximized by contributing, regardless of how many others have already contributed.
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Payoff Calculation in a Public Goods Scenario
A farmer is part of a community irrigation project where the personal cost to contribute is $10, and each contribution provides an $8 benefit to every farmer in the community. If this farmer decides to contribute, knowing that two other farmers have already done so, their personal net payoff will be $____.
A farmer is deciding whether to contribute to a shared irrigation project. The personal cost to contribute is $10. For each person who contributes (including the farmer themselves), every farmer in the community receives an $8 benefit. Given that two other farmers have already contributed, match the farmer's potential action with their resulting personal payoff.
Individual vs. Group Incentives in a Shared Project