The first one is ungameable by definition. Also practically impossible to make by the very same definition - for one, we always work with imperfect information, but moreover, humans are damn good at redefining the rules of the game on the fly.
The second one follows the principle of American Army - "If we don't know what we are doing, the enemy certainly can't anticipate our future actions". A purely random selection cannot be gamed directly because it doesn't change its behavior in response to external input. However, it certainly can be meta-gamed; e.g. some people could take advantage from the very fact such algorithm is used in the first place. This circles back to the same point I made about the "perfect" algorithm - humans are just too damn good at metagaming.
Still - my primary point was that a) humans are a gameable algorithm too, and b) humans are pretty low-hanging fruit as algorithms go. We can, and should, do better.
I believe the two cases are provided (perfect algorithm and random algorithm) exhaust the list of ungameable ones (though they're still meta-gameable).
The second one follows the principle of American Army - "If we don't know what we are doing, the enemy certainly can't anticipate our future actions". A purely random selection cannot be gamed directly because it doesn't change its behavior in response to external input. However, it certainly can be meta-gamed; e.g. some people could take advantage from the very fact such algorithm is used in the first place. This circles back to the same point I made about the "perfect" algorithm - humans are just too damn good at metagaming.
Still - my primary point was that a) humans are a gameable algorithm too, and b) humans are pretty low-hanging fruit as algorithms go. We can, and should, do better.
[0] - http://www.allproudamericans.com/paimages/here-is-why-americ...