Multiple Choice

Two competing firms, Firm A and Firm B, are deciding whether to invest in a new, costly, pollution-reducing technology. The technology benefits both firms by improving public image and avoiding future regulatory fines, but the firm that invests alone bears a higher initial cost. The payoff matrix below shows the profits for each firm based on their decisions, with Firm A's profit listed first in each pair.

             Firm B
             Invest   | Don't Invest
    ----------------------------------
Invest   | (10, 10) | (2, 12)
    ----------------------------------
Don't    | (12, 2)  | (4, 4)
Invest   |

A government agency wants to offer a subsidy to encourage mutual investment. What is the minimum whole number subsidy that must be given to Firm B for investing (specifically in the scenario where Firm A also invests) to make the ('Invest', 'Invest') outcome a stable equilibrium?

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Updated 2025-09-18

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