It's generally easier to make such a process tamper-proof than an election. You can pick a cryptographically secure open source PRNG and determine the seed in a decentralized way by allowing anyone to contribute a salt into a list which is made public at the deciding moment. Then anyone can verify the integrity of the process by verifying the seed includes their contribution, and computing the candidates themselves.
krapp|25 days ago
If that were a viable model for the real world, we could make existing elections just as tamper-proof.