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The Mixed Bentham-Rawls Intertemporal Choice Criterion and Rawls’ Just Savings Principle

Charles Figuieres (), Ngo Long and Mabel Tidball ()

CIRANO Working Papers from CIRANO

Abstract: This paper provides general theorems about the control that maximizes the mixed Bentham-Rawls (MBR) criterion for intergenerational justice, which was introduced in Alvarez-Cuadrado and Long (2009). We establish sufficient concavity conditions for a candidate trajectory to be optimal and unique. We show that the state variable is monotonic under rather weak conditions. We also prove that inequality among generations, captured by the gap between the poorest and the richest generations, is lower when optimization is performed under the MBR criterion rather than under the discounted utilitarian criterion. A quadratic example is also used to perform comparative static exercices: it turns out, in particular, that the larger the weight attributed to the maximin part of the MBR criterion, the better-off the less fortunate generations. All those properties are discussed and compared with those of the discounted utilitarian (DU, Koopmans 1960) and the rank-discounted utilitarian (RDU, Zuber and Asheim, 2012) criterions. We contend they are in line with some aspects of the rawlsian just savings principle.

Keywords: intergenerational equity; just savings principle (search for similar items in EconPapers)
JEL-codes: D63 H43 O21 Q20 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-sog
Date: 2016-09-07
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