As one of the authors of the wikipedia article on Schelling Focal points, I'm afraid I have to ask that people stop linking to it as an explanation for BitUSD, as the logic of that argument is greatly flawed. A small sample of reasoning for this is already on the forums: https://bitsharestalk.org/index.php?topic=3553.msg46514#msg46514
However, you may instead link to this: http://en.wikipedia.org/wiki/Battle_of_the_sexes_(game_theory
) which contains a game very similar to BitAssets if one pursues the Correlated Equilibrium
mentioned in P3 of the Equilibrium Analysis section. The "commonly observed randomizing device" would of course be the publicly available exchange rate.
This model of BitAssets is probably the best one...I'm sorry to say (in my opinion) most of the other attempts at explaining BitAssets are nonsense. Note that this model isn't complete, as it does not include the margin call (which, I have been persuaded
, is a weak point in the BitAsset scheme). It also doesn't address DPoS, front-running, market manipulation, etc. of course.