The larger a group of people, the less reasons to trust each other. The favorite countermeasure is doubling down on "objective criteria" for every nomination, reward etc. BRILLIANT, as bright line rules and incentives are the number one cause of cheating (https://papers.ssrn.com/sol3/papers.cfm?abstract_id=366450 …)
This is not a random guy though, it's the Freakonomics guy. Dunno if it makes matters better or worse from the angle you raised...