Fixed-step anonymous overtaking and catching-up
Geir B. Asheim and Kuntal Banerjee
International Journal of Economic Theory, Vol. 6 (1), 2010, 149-165
We investigate criteria for evaluating infinite utility streams that satisfy fixed-step anonymity and include some notion of overtaking or catching-up. We do so in a generalized setting that does not require us to specify the underlying finite-dimensional criterion (e.g. utilitarianism or leximin). We present axiomatizations that rely on weaker axioms than those in the literature, and which in one case is new. We also provide a complete analysis of the relationships between the symmetric parts of these criteria and likewise for the asymmetric parts.