Actual rational actors understand that extreme loss has a disproportionate effect. (In other words, losing $100k is more than 1k as expensive as losing $100 for most of us.)
Naive rationality may be easy to analyse but that just means that the GIGO transfer doesn't cost much.
Only when it's legally/contractually required (car/financed-house), or comes with negotiated discounts (health), or handles a catastrophic/risk-of-ruin situation (chronic disease/business liability).
Insuring against small losses is a net financial loser, or else the insurance company wouldn't offer it.
Sort of. :)
http://en.wikipedia.org/wiki/War_of_the_Spanish_Succession