Most Western philosophy and psychology argue that deliberating carefully and rationally is the right way of reaching a decision. "Don't let emotions turn you" they might say. The splitting of the mind into the two systems (intuitive System 1 vs. rational System 2) have just sharpened this attitude. In contrast, many studies have shown the superiority of making decision by not thinking about it (e.g. Dijksterhuis), or by relying on intuition (e.g. Kahneman and a long list of many others).
It seems that there is no absolute way that is better then the other, rather some decision problems are better handled with careful thinking, while others are solved better with "gut feeling". What are the characteristics that differentiate the two?