Conflict Between Collective and Individual Interests in the Irrigation Game
A conflict exists between the collective interest and individual incentives in the irrigation game. While all farmers would benefit from universal cooperation, which yields a $22 payoff for each, this outcome is not a stable equilibrium. The reason is that each farmer can achieve a better personal outcome by free-riding on the contributions of others. This incentive leads to a dominant strategy equilibrium where no one contributes, and everyone is worse off with a zero payoff.
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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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The Irrigation Game as a Multi-Player Prisoners' Dilemma
Conflict Between Collective and Individual Interests in the Irrigation Game
Four farmers share access to a water source. They are independently deciding whether to contribute a fixed amount of money to build a shared irrigation system. Each contribution is costly to the individual who makes it, but for every contribution made, all four farmers (including those who do not contribute) receive an equal increase in their crop yield. From the perspective of a single farmer focused on maximizing their own personal outcome, which statement best explains the strategic dilemma they face?
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In a scenario where four farmers independently decide whether to contribute to a shared irrigation system, and each contribution benefits all farmers regardless of who pays, the most likely outcome is that all four will contribute because this action maximizes the total benefit for the group as a whole.
In a scenario where several farmers must independently decide whether to contribute to a shared irrigation system, match each element of the situation to its correct economic description.
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Imagine a scenario where four farmers must independently decide whether to contribute to a shared irrigation system. The system is costly for each farmer who contributes, but every contribution benefits all four farmers equally, including those who do not pay. Which of the following statements best analyzes why the group is likely to end up with a less-than-ideal outcome for everyone?
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In a strategic interaction where several farmers must independently decide whether to contribute to a shared irrigation system, the incentive for a farmer to benefit from the system without paying the cost is known as the ________ problem.
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Learn After
Four farmers are deciding independently whether to contribute to a shared irrigation project. If a farmer contributes, they incur a personal cost of $10. For each farmer who contributes (including themselves), all four farmers receive a benefit of $8. For example, if only one farmer contributes, that farmer's net payoff is -$2 ($8 benefit - $10 cost), while the other three non-contributing farmers each get a payoff of $8. If all four contribute, each farmer's net payoff is $22 ($32 total benefit - $10 cost). From the perspective of a single farmer, which statement best analyzes their decision?
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Consider a scenario where four farmers independently decide whether to contribute to a shared irrigation project. The outcome where all four farmers contribute results in the highest possible collective payoff for the group. This outcome is a stable equilibrium because it maximizes the overall benefit for all participants.
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In a game where four farmers independently decide whether to contribute to a shared irrigation project, different outcomes are possible. Match each outcome scenario with the statement that best describes its strategic implications.
A single farmer is participating in a shared irrigation project with three other farmers. The farmer is considering their own potential net payoff based on the number of other farmers who choose to contribute. Each contribution costs the contributor $10, and each contribution (including their own) provides an $8 benefit to all four farmers. Arrange the following scenarios from the highest potential net payoff to the lowest potential net payoff for this single farmer.
In a scenario where four farmers independently decide whether to contribute to a shared irrigation project, each farmer calculates that their personal payoff is always higher if they choose not to contribute, no matter what the other three farmers decide to do. Therefore, for each individual farmer, the action of not contributing is known as a ________ strategy.
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