How to interpret hyperbolic discounting functions

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InquilineKea

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plato.stanford.edu/entries/game-theory/#Lab
picoeconomics.com/breakdown.htm

sciencemag.org/cgi/content/full/306/5695/421?ijkey=SB7IYXCdL2or6&#ref20

Graphs are above. The thing is, the hyperbolic discounting curve is 1/(1+kt) and the exponential one is current value = nondelayed value x (1 - discount rate)^delay. By those two curves, value should decrease with respect to time. But the graphs of value above all increase with respect to time. Can anyone clarify these for me? Thanks.
 
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