If the history of economics has taught us anything it is that competition inspires excellence and quality far more than cooperation does.
The history of economics has not taught any such thing conclusively.As Red Hat CEO's is fond of saying, any competition in a zero-sum-game scenario is detrimental to the whole of society.
In not zero-sum game scenarios (i.e., competing to create the better song; inside a project, competing to finish their work allotment first), sure, go right ahead.
A tangent, but at least entertaining: http://www.ted.com/talks/dan_pink_on_motivation.html
tl;dr: monetary incentives are counter-productive to non-mechanical tasks, are a detriment to creativity.
The motivation for excellence is obviously higher when success or failure has a tangible effect on your standard of living.
And in a TVP-like society, where an inventor is not limited by profitability, [and so inventions and improvements can be immediately be put into practice/production], the effect of cooperation in creation of new technological advents would be greater and faster to affect your standard of living.