I just thought of something to add to this: I think I can distinguish between those conditions under which competition within a species is more condusive towards the advancement of its evolution and when cooperation is more condusive.
When is cooperation more condusive? When the species is not sufficiently diversified and when its numbers are small. So, for example, suppose man has been reduced to a colony of, say, 1000 people only - that is, 1000 people world wide - then, supposing they are able to group together, they are going to be more likely to cooperate and help each other as opposed to fight against each other. I believe it is in our instincts to do this under these kinds of conditions. This is beneficial because when our numbers are small and our diversity is limited, our best chances for survival are to cooperate together such that we act as a united whole. To compete against each other in a man-vs-man fashion in this case would risk reducing our numbers to even smaller portions, in which case we risk something which is already on the verge of deciding our downfall. The point, in this case, would be to re-populate our species, which is a goal that requires focusing on the good of the community, not the individual. In extreme cases, say when there are only a few individuals - a number you can count on one hand say - then each one looking out for himself may very well ensure his own survival, but the more important point - namely, re-populating the species - is lost. He may survive to a ripe old age, but with his death he takes the whole species.
So when is competition more conducive? It is when we’ve progressed on this path for good long while, for in that case our numbers increase and our diversity becomes rich and widespread. Then we enter a different set of conditions. We enter a set of conditions under which the risk of some perishing at the cost of the survival of others doesn’t threaten the existence of the species as whole to any significant extent. When a species as large and diverse as this encounters environmental pressures or menaces of any kind, there is a good chance, because it is internally diverse, that there will be a select few that will survive - the cream of the crop, so to speak - and this pressure or menace can come from within - that is, from internal competition. The species doesn’t risk extinction in this case, and in fact, has much to gain from such internal competition, for in this case, there are bound to be a select few who are ripe for survival under the conditions of the environment - social, natural, or otherwise - of the time. In that case, those few will rise above the rest, and go on to produce progeny which will be the mark of the next phase in our evolution, re-populating the species according to their genetic profile.
What do you think? Does this classify the conditions under which cooperation and competition are likely to be the most effective methods for a given species to survive?