Very interesting. One could, though, have a fair multiplayer game where each player picks a random number, commits to it (e.g. by hashing it and publishing the

Very interesting. One could, though, have a fair multiplayer game where each player picks a random number, commits to it (e.g. by hashing it and publishing the hash), then all players reveal their numbers, XOR them all together and use that as a seed for a CSPRNG. With a good CSPRNG, they could even mix player actions into the generator over time, resulting in a truly random game.