  How much should you receive in a week to be indifferent to \$ 100 in six
months? Note that the indifference requires a rule to ensure the similarity
between early and late payments. Assuming that rational individuals have low
accuracy, then the following rule is valid: if the amounts to be paid are much
less than the personal wealth, then the $q$-exponential discounting guarantees
indifference in several periods. Thus, the discounting can be interpolated
between hyperbolic and exponential functions due to the low accuracy to
distinguish time averages when the payments have low impact on personal wealth.
Therefore, there are physical conditions that allow the hyperbolic discounting
regardless psycho-behavioral assumption.
