Ultimatum Game Filling out the above a bit:
A rational analysis of the set-up recognizes it as an exchange relation between the currencies of respect and money which are transferable on the symbolic level, so any unequal division translates into an offer of money for respect. And it’s rational to give respect a non-zero value (even common sense informs us that in many social situations, respect can act almost indistinguishably from money, e.g. in influencing people, gaining favour etc…).
Also, note that the exchange happens on both an interpersonal and an intrasocial level (i.e. between the two game players and in their social context). On an interpersonal level, respect is valued against money as a ratio of comparative gain (80:20–that’s bad!..); on the intrasocial as a relative norm (...but 5000 bucks is a lot of money!). And the interpersonal and intrasocial must be taken into consideration even if the latter recedes into relative irrelevance for lower sums. So, it makes sense as per Hanover’s analysis that as the sums increase the intrasocial monetary benefit begins to outweigh the interpersonal loss of respect.
Anyhow, respect (along with dignity, honour, etc, however you want to characterise it) is as real as money (and yes, pies) but these “puzzles” with their gerrymandered versions of rationality seem designed to obscure that.