I think Jean-Claude is right; as the evidence mounts up, eventually the culture will shift so that co-operation is seen as more productive (and so more valuable) than competition.

What we should not do is expect evidence to win out in a reasonable time frame, despite the fact that we are dealing with people who are supposed to respond to evidence for a living. Scientists are little if any less prone to irrationality than any other group, and the evidence has to be overwhelming before they will relinquish a cherished idea or long-held fear.

(I use the Simpy tag "oaos.examples" to keep track of such evidence, in case that is of use to anyone.)