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Analyzing a Strategy in a Repeated Interaction

Consider a scenario where two firms interact repeatedly over many periods, each deciding whether to set a 'High Price' or a 'Low Price'. If both set a High Price, they both earn a moderate profit. If both set a Low Price, they both earn a low profit. If one sets a Low Price while the other sets a High Price, the low-pricing firm earns a very high profit, and the high-pricing firm earns a very low profit. Firm A adopts the following strategy: It begins by setting a High Price. In all subsequent periods, it will set the same price that Firm B chose in the immediately preceding period.

Analyze the effectiveness of Firm A's strategy. In your answer, break down how this strategy uses past actions to influence Firm B's future choices and why this can lead to a mutually beneficial outcome over time.

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Updated 2025-08-07

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