Behind this provocative question is the essence of the mathematical problem that I'm trying to solve, namely:
1. An algorithm that produces often good solutions, but it knows nothing about their quality, or
2. An algorithm that produces often bad solutions, but it has a quantitative metric of closeness to the optimal solution?
Which of these two algorithms should we trust more?
We often hear sayings:
1. "He is certainly an intelligent person, however he does not know his own price, and therefore everyone uses it for personal gain"
2. "He is certainly a stupid person, however he knows his own price to apply his poor knowledge in practice"
There is also the saying "if a fool realizes that he is a fool, he is no longer a fool".
Please share your opinions. This will make it possible to better understand the essence of the problem with the aim of formalizing it as a model for its subsequent solution.