Applying the same analogy of baking a good cake, conflict handling will have a slight difference in that there is an ingredient on top of which all others are built. As a matter of fact, this ingredient is quite essential in any process involving change. In that light, conflict resolution is a specific situation of change creation, as one needs to convert conflict patterns - whether before they've become apparent or after they have reached the surface - into a more constructive pattern.
This brings me to the most important conflict handling skill, reflection.
Reflection is one's ability to truly contemplate oneself.
Conflicts are the result of egoic patterns patterns that come from the mind and which compel us to behave in what I refer to as conflict prone behavior. For instance, the egoic bias of relativism, the tendency to compare one's situation, possession or whatever is currently perceived under scarcity with another persons situation, is prone to make one regard the situation at hand as a 'Me vs. You' situation. As you can easily deduce, no collaborative endeavor is possible when such a perception reigns. With that in mind, if you find yourself frowning with the thought "of course it's a Me vs. You situation, after all it IS a conflict we're talking about here..." then you are a perfect proof of the idea I have put forward above. We are so engrossed to the egoic mind patterns to an extent that they literally govern the way we regard, and to a deeper extent, react to conflicts.
Within a pattern, no critical thinking is ever possible. This feature is the essence of any pattern. It serves as a minimal thinking unit and hence does not enable any thinking within it. In one hand, patterns serve as major time savers-we tend to act in a predetermined way without getting entangled in unnecessary thinking. A good example is your ability to drive without having to think of our next action, a phenomena thats quite beneficial. On the other hand, the supposed blessing is in itself a curse since without conscious awareness; the driver will be acting as an auto pilot. Thus, in order to create a change in ones course of action, a light must be switched on-the conscience should be awoken. Such a light can only be switched on only in the presence of reflection. Only when you truly envisage yourself will you be able to make notice of the pattern and be able to contain it.