Short Answer

Analyzing a Change in Payoffs

Two farmers face a pest control decision. The payoff matrix below shows their profits based on choosing a 'Clean' or 'Polluting' method. The first number in each cell is Farmer 1's profit.

Farmer 2: CleanFarmer 2: Polluting
Farmer 1: Clean3, 31, 4
Farmer 1: Polluting4, 12, 2

Initially, the dominant strategy for both is to choose 'Polluting', leading to a (2, 2) outcome. Suppose a new government subsidy for the 'Clean' method changes the payoff for the (Clean, Clean) outcome to (5, 5), while all other payoffs remain the same. Does the game still represent a prisoners' dilemma after this change? Justify your answer by analyzing the new incentives for at least one of the farmers.

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Updated 2025-08-15

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