The goal is rarely (almost never?) to find an optimal solution (if that's even possible).

Also why would you assume outcomes would converge? That is not a given in most situations.

You’ve never gotten tired of a conversation with someone that didn’t know when to stop? If so then you are exceptional in you're curiosity. I am a very curious person, but I have plenty of topics that are like nails on a chalk board to me.

Plus, every conversation burns energy, and at some point, people will get tired or bored or both, so continuing indefinitely does not rationally lead to better outcomes. Continuing past that point will lead to worse and worse conclusions.