Final answer:
Firm A will increase or decrease output based on their expectations of Firm B's actions. Trust is influenced by potential profits and risks associated with cheating.
Step-by-step explanation:
In this scenario, the two firms, Firm A and Firm B, can trust each other to some extent. If Firm A believes that Firm B will cheat on their agreement and increase output, A will also increase output because the profit of $400 for both firms increasing output is better than a profit of $200 if A keeps output low while B raises output.
However, if Firm A notices that the profits decline substantially due to cheating, Firm A may cheat as well, resulting in Firm B losing 90% of what it gained. This reasoning makes Firm A believe that Firm B is unlikely to risk cheating. If neither firm cheats, Firm A earns $1000, and if both cheat, Firm A loses at least 50% of potential earnings.
Overall, trust between the two firms relies on their expectations of each other's actions and the potential benefits of cooperating or cheating.