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Fixed‐step anonymous overtaking and catching‐up
Author(s) -
Asheim Geir B.,
Banerjee Kuntal
Publication year - 2010
Publication title -
international journal of economic theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.351
H-Index - 11
eISSN - 1742-7363
pISSN - 1742-7355
DOI - 10.1111/j.1742-7363.2009.00127.x
Subject(s) - overtaking , axiom , anonymity , mathematical economics , utilitarianism , economics , mathematics , computer science , philosophy , epistemology , computer security , civil engineering , geometry , engineering
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.