Any guidelines? What to think about
In addition, for each experiment you need: a defined time window, up front criteria by which to judge the results, optionally form solution ideas together, give all teams the same amount of time and opportunity, after the experiment is finished each team presents their solution in a fact based manner in perspective of the criteria. After this the teams rotate and see what they can improve on their original solution with the remarks and information from the other tracks. After this decide together or with an informed captain which solution to continue. After this there should be no hard feelings, no personal consequences. Each team should be treated equally because they all contributed to the end goal. This is what will give you a fair competition and help create team safety.
This can be done on all kind of levels, between one day for something small and two/four weeks for the bigger challenges. Making it bigger than this will incur a lot of stakes/vested interest.
> After this the teams rotate and see what they can improve on their original solution
Interesting idea
I'd disagree, internal competition (like it or not, and yes it doesn't sound fun and often doesn't feel great or fair) can be a very effective motivating strategy. And management is used to using this with sales teams, everyone in sales is always competing with each other. It's never fair, they'll have unequal markets, for example, but the competition is incredibly motivating. When I was in sales long ago, the drive to be the best and regarded as such was even more motivating than just getting more commissions. It's dog eat dog but for better or worse it works.
It also sets people against each other, creates better-than-you mental heirarchies between equal workers where non are necessary, and is essentially friendly fire in the workplace. I've never seen this end well.
Capitalism isn't just economic natural selection either, it favors those with capital, and especially the most of it, and is easily exploitable by them to tip the playing field in their favor against their competition and those below them. Your analogy is bad in both cases; natural selection means one side dies, which is not what's being described here, and is not good for one side anyway, and capitalism is not as good as cooperation anyway. The latter is far more efficient.