On the leximin and utilitarian overtaking criteria with extended anonymity

Kohei Kamaga () and Kojima Takashi

No 392, PIE/CIS Discussion Paper from Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University

Abstract: This paper studies the extensions of the infinte-horizon variants of the leximin principle and utilitarianism on the set of infinite utility streams. We especially examine those extensions which satisfy the axiom of Preference-continuity (or Consistency) and the extended anonymity axiom called Q-Anonymity. We formulate new extended leximin and utilitarian social welfare relations (SWRs), called Q-W-leximin SWR and Q-overtaking criterion respectively, and show that Weak Preference-continuity (or Weak Consistency) and Q-Anonymity together with Strong Pareto and Hammond Equity (resp. Partial Unit Comparability) characterize all SWRs that include the Q-W-leximin SWR (resp. the Q-overtaking criterion) as a subrelation. We also show that there exists no SWR satisfying Strong Pareto, Strong Preference-continuity (or Strong Consistency) and Q-Anonymity.

Keywords: Q-Anonymity; Preference-continuity; Consistency; Leximin; Utilitarianism; Overtaking criterion (search for similar items in EconPapers)
JEL-codes: D63 D70 (search for similar items in EconPapers)
Date: 2008-08
Note: First version, December 18, 2007; Current version, August 21, 2008
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