Short Answer

Impact of Sequential Moves on Strategic Outcomes

Consider two neighboring farmers, Farmer 1 and Farmer 2, who must decide whether to use a new, expensive pest control method ('Spray') or continue with their old method ('Don't Spray'). The success of the new method depends on both farmers using it. The payoff matrix below shows the profits for each farmer based on their combined decisions, with Farmer 1's profit listed first.

Payoff Matrix (Farmer 1, Farmer 2):

Farmer 2: SprayFarmer 2: Don't Spray
Farmer 1: Spray(10, 10)(0, 8)
Farmer 1: Don't Spray(8, 0)(7, 7)

First, identify the likely outcome(s) if both farmers must make their decisions simultaneously, without knowing the other's choice. Then, determine the single, predictable outcome if the game is played sequentially, where Farmer 1 chooses first and Farmer 2 observes that choice before deciding. Finally, explain why making the game sequential changes the strategic situation and leads to a different result.

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Updated 2025-09-17

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