Properties of the Social Discount Rate in a Benthamite Framework with Heterogeneous Degrees of Impatience

Diego Nocetti (1) , Elyès Jouini (2) , Clotilde Napp (3)

1 CIMS - Courant Institute of Mathematical Sciences [New York]
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
3 DRM - Dauphine Recherches en Management

This paper derives the properties of the discount rate that should be applied to a public-sector project when the affected population has heterogeneous degrees of impatience. We show that, for any distribution of discount rates, the social discount rate has the following properties: it decreases over time, it is lower than the average of the discount rates in the population, and it converges to the discount rate of the most patient individual in the economy. These properties hold for both constant and decreasing individual discount rates. Finally, we evaluate how changes in the distribution of individual discount rates affect the social discount rate.

Mots clés: social discount rate; hyperbolic discounting; cost-benefit analysis

Domaines: Gestion et management

Diego Nocetti, Elyès Jouini, Clotilde Napp. Properties of the Social Discount Rate in a Benthamite Framework with Heterogeneous Degrees of Impatience. Management Science, 2008, Vol. 54 (No. 10), pp. 1822-1826. ⟨10.1287/mnsc.1080.0904⟩. ⟨halshs-00365980⟩