Earlier quoted context omitted.
This is always the game theory of ransoms, and it is a classic example of a collective action problem (and is a form of a prisoner's dilemma). Each individual company is probably better off paying the ransom, but everyone would be better off if no one paid a ransom. This is why the United States, for example, has an official no-ransom policy, and why other no-ransom policies exist. You have to have something forcing…
While the us stance has resulted in savings on potential ransom, it has also lead to people being kept in prison for very long time until prisoner exchanges might be worked out. That cost to an individuals life being imprisoned is probably far in excess whatever the US might pay. Plus the US prints its own monopoly money and doesn’t really play by the rules of economics anyhow ever since getting off gold standard.
Like you said (and like I said in my post), for an individual kidnap victim, the best option would be to pay the ransom. It is better to pay the money and be free.
However, that means a kidnap group now has more money, which will make them better able to kidnap another victim and demand more money.
The point of a “no ransom” policy is that it takes the choice away from the individual, who would choose to pay it, and changes the game theory to make kidnapping not worth it.
The whole reason you need a policy at all is BECAUSE it is better for the person to pay the ransom.