Fig 1.
Hyperbolic discount functions of Example 1.
Fig 2.
Hyperbolic discount functions of Example 2.
Fig 3.
Summary of the results in Theorem 2 and Corollary 1.
Fig 4.
Discount functions of Example 3 and their ratio.
Table 1.
Several implications arising from the relationship between the local maxima of F2(t) − F1(t) and .
Fig 5.
Intersection of the two instantaneous discount rates.
Fig 6.
Intersection of the two discount functions: case of tangency.
Table 2.
Patience / impatience according to different intervals.
Table 3.
Cases of application of Theorem 2 or Theorem 3 (in bold), where F1 < F2.