2026-07-23T17:43:02Zhttps://repisalud.isciii.es/rest/oai/requestoai:repisalud.isciii.es:20.500.12105/237592024-11-28T23:20:42Zcom_20.500.12105_15322com_20.500.12105_2051col_20.500.12105_16967
Repisalud
author
Estevan, Asier
author
Maura, Roberto
author
Valero, Oscar
2024-10-09T06:35:43Z
2024-10-09T06:35:43Z
2023
Estevan A, Maura R, Valero O. Quasi-Metrics for Possibility Results: Intergenerational Preferences and Continuity. Mathematics. 2023 Jan 12;11(2):395.
10.3390/math11020395
2227-7390
Mathematics
https://hdl.handle.net/20.500.13003/18870
2-s2.0-85146789022
https://hdl.handle.net/20.500.12105/23759
927764100001
In this paper, we provide the counterparts of a few celebrated impossibility theorems for continuous social intergenerational preferences according to P. Diamond, L.G. Svensson and T. Sakai. In particular, we give a topology that must be refined for continuous preferences to satisfy anonymity and strong monotonicity. Furthermore, we suggest quasi-pseudo-metrics as an appropriate quantitative tool for reconciling topology and social intergenerational preferences. Thus, we develop a metric-type method which is able to guarantee the possibility counterparts of the aforesaid impossibility theorems and, in addition, it is able to give numerical quantifications of the improvement of welfare. Finally, a refinement of the previous method is presented in such a way that metrics are involved.
eng
Quasi-Metrics for Possibility Results: Intergenerational Preferences and Continuity
research article