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On the leximin and utilitarian overtaking criteria with extended anonymity

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Author Info
Kamaga, Kohei
Kojima, Takashi

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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.

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File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/15915/1/pie_dp392.pdf
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Publisher Info
Paper provided by Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University in its series PIE/CIS Discussion Paper with number 392.

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Length: 21 p.
Date of creation: Aug 2008
Date of revision:
Handle: RePEc:hit:piecis:392

Note: First version, December 18, 2007; Current version, August 21, 2008
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Web page: http://cis.ier.hit-u.ac.jp/
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Related research
Keywords: Q-Anonymity; Preference-continuity; Consistency; Leximin; Utilitarianism; Overtaking criterion;

Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

Cited by:
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  1. Geir B. Asheim & Kuntal Banerjee, 2009. "Fixed-step anonymous overtaking and catching-up," Working Papers 09001, Department of Economics, College of Business, Florida Atlantic University. [Downloadable!]
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