costs and benefits are delayed to the same extent, contribution levels do not change, indicating that cooperation is time-consistent. …

The discounted logit is widely used to estimate time preferences using data from field and laboratory experiments … attributed to non-stationary discounting. We solve this problem introducing the discounted Luce rule. It retains the flexibility …-hyperbolic discounting. Lastly, we discuss an extension of the model to recursive stochastic choices with the present bias. …

show that the assumption of positive discounting is not always true. The presented experimental study shows how a decrease … in probability increases the chances of negative discounting. According to the results, the expected large, uncertain … profit is more likely to be deferred over time than a certain profit of the same value. On the other hand, the expected large …