I intend to provide a group task for 30 people, split into 5 or 6 groups.
Ultimately, I want them to assess which group delivered the best result (after presenting results in front of other groups) as well as grade themselves within groups based on their contribution to the team effort.
Now, both game theory and my simple experience of observing people being unobjective would suggest there are plenty of ways this can go wrong if I don’t introduce some robust system that would deal, at least, with problems like:
group likely to be second will give lowest grade to group they see as objectively the best so that they boost their chances of winning
group likely to be the last will give lowest grades to second to last group so that they boost their chances to replace them and not finish last
group members will tell me each person contributed to the same extent, but it will be untrue in most scenarios. Especially the best group has no reason to lower the grade of their colleague no matter how marginal his contribution had been. On the other hand, system where they score each other with percentage contribution is also wrong as sometimes indeed all group members collaborated on the same, high level and there is no need to point best or worst performing members and lower their grades, thus even if they all worked hard they would get the same, median mark for their performance.
Does such a voting/grading system exist?