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oai:repisalud.isciii.es:20.500.12105/237592024-11-28T23:20:42Zcom_20.500.12105_15322com_20.500.12105_2051col_20.500.12105_16967

00925njm 22002777a 4500 dc Estevan, Asier author Maura, Roberto author Valero, Oscar author 2023 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. 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 Quasi-Metrics for Possibility Results: Intergenerational Preferences and Continuity