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The Pest Control Game as a Prisoners' Dilemma
Competitive Pricing Dilemma
Analyze the pricing scenario between two competing coffee shops, 'The Daily Grind' and 'Bean There'. If both shop owners act in their own immediate self-interest to maximize their own profit, what strategy will each choose? Explain your reasoning, identify the final profit outcome for both shops, and describe why this situation represents a dilemma.
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The Dilemma of the Pest Control Game: Individual vs. Collective Rationality
Two neighboring farmers must independently choose between using an inexpensive 'Polluting Method' for pest control or a more expensive 'Clean Method'. The table below shows the profit (payoff) each farmer receives based on their combined choices. The first number in each pair is Farmer 1's payoff, and the second is Farmer 2's.
Farmer 2: Clean Method Farmer 2: Polluting Method Farmer 1: Clean Method 3, 3 1, 4 Farmer 1: Polluting Method 4, 1 2, 2 Based on this payoff structure, both farmers acting in their own self-interest will choose the 'Polluting Method,' leading to the (2, 2) outcome. Which statement best analyzes why this happens, even though the (3, 3) outcome would make both of them better off?
In a classic two-player pest control game, the highest possible individual payoff for a farmer is achieved by using a cheap, polluting pesticide while the other farmer uses an expensive, clean one. The worst individual payoff comes from using the clean pesticide while the other uses the polluting one. Given this structure, if one farmer is guaranteed that the other will use the clean pesticide, their own self-interested best move is to also use the clean pesticide.
Analyzing a Change in Payoffs
Competitive Pricing Dilemma
Two farmers, Anil and Bala, must independently decide whether to use a cheap but polluting pesticide ('Terminator') or an expensive but environmentally-friendly method ('IPC'). The table below shows the profits (payoffs) for each farmer based on their choices. The first number in each cell is Anil's payoff, and the second is Bala's. Match each concept to its correct representation in this game.
Bala: IPC Bala: Terminator Anil: IPC 3, 3 1, 4 Anil: Terminator 4, 1 2, 2 Explaining the Dilemma in the Pest Control Game
Analyzing Incentives in the Pest Control Game
In a standard pest control game, the outcome where both farmers independently choose to use a polluting pesticide is the dominant strategy equilibrium. This outcome is described as ________ because an alternative outcome exists (both using a clean method) where both farmers would be better off.
Two farmers, Anil and Bala, must independently decide whether to use a cheap but polluting pesticide ('Terminator') or an expensive but environmentally-friendly method ('IPC'). The table below shows the profits (payoffs) for each farmer based on their choices. The first number in each cell is Anil's payoff, and the second is Bala's.
Bala: IPC Bala: Terminator Anil: IPC 3, 3 1, 4 Anil: Terminator 4, 1 2, 2 Arrange the following steps in the logical order that Anil would follow to determine his best strategy in this game.
Two farmers must independently choose between using an inexpensive 'Polluting Method' for pest control or a more expensive 'Clean Method'. The table below shows the profit (payoff) each farmer receives based on their combined choices. The first number in each pair is Farmer 1's payoff, and the second is Farmer 2's.
Farmer 2: Clean Method Farmer 2: Polluting Method Farmer 1: Clean Method 3, 3 1, 4 Farmer 1: Polluting Method 4, 1 2, 2 Now, suppose a new government program offers a subsidy of 2 units to any farmer who chooses the 'Clean Method'. How does this subsidy alter the outcome of the game?