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A Note On Impossibility Theorems and Seniority Rules

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  • Matthias Hild

Abstract

We characterize seniority rules, also known as lexical dictatorships, under weak consistency constraints on the group’s choice function. These constraints are base triple-acyclicity in the case of binary choices and rationalizability (although not rationality) in the case of choices between an arbitrary number of alternatives. Existing results on these weakened constraints remain silent on the treatment of the group’s most junior individuals and therefore do not yield a complete characterization of seniority rules. We also impose a universal domain, binary strict Pareto optimality, binary Pareto indifference, binary independence of irrelevant alternatives, and the newly introduced condition of conflict resolution. The latter condition requires a social choice rules not to remain indecisive between alternatives for which individuals have conflicting preferences. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Matthias Hild, 2004. "A Note On Impossibility Theorems and Seniority Rules," Theory and Decision, Springer, vol. 57(1), pages 69-78, August.
    • Handle: RePEc:kap:theord:v:57:y:2004:i:1:p:69-78
    DOI: 10.1007/s11238-004-2631-8
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    References listed on IDEAS

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    1. Peter C. Fishburn, 1975. "Axioms for Lexicographic Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(3), pages 415-419.
    2. John Weymark, 1984. "Arrow's theorem with social quasi-orderings," Public Choice, Springer, vol. 42(3), pages 235-246, January.
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