Re: $100 is a lot to someone living on $2/day
It's an interesting point, as it affects both sides of the equation.
I'm a pretty fair person, I usually (but not always) repress my selfish impulses - even when no-one's looking.
So in the standard experiment with £100, I'd offer a 50/50 split. It's "fair" (and so the right thing to do), we'll almost certainly both get paid this way, and people are watching. All good reasons to play nice. And the offer of an extra £10-£20 isn't very much incentive to risk getting nothing, or to look bad in front of other people. As well as the possible twinge of conscience for being "bad".
However if I'm given £1 million to split, it's rather different. Now a 60/40 split is giving me an extra £100,000! That buys a house (in some places), and is 4 years UK median wage. Much more of a dilemma about being "nice". But then there's also a much higher risk if the other person sees themselves being treated unfairly, and rejects the deal. Although they too have more incentive to say yes.