If we assume that (a) future discounting is potentially rational, and that (b) to be rational, the relative weightings we give to March 30 and March 31 should be the same whether it’s March 29 or Jan 1, does it follow that rational future discounting would involve exponential decay? Like, a half-life?
For example, assuming the half life is a month, a day a month from now has half the weighting of today, and a month from that has half the weighting of that, and so on?
If we assume that (a) future discounting is potentially rational, and that (b) to be rational, the relative weightings we give to March 30 and March 31 should be the same whether it’s March 29 or Jan 1, does it follow that rational future discounting would involve exponential decay? Like, a half-life?
For example, assuming the half life is a month, a day a month from now has half the weighting of today, and a month from that has half the weighting of that, and so on?