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An Impossibility Theorem on Extending Orders

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  • V. Denicolo'

Abstract

The problem of extending an ordering on a set of alternatives to its power set is analysed. Kannai and Peleg (1984) and Barber and Pattanaik (1984) have shown that no extention rule satisfies certain reasinable conditions. This paper prove a new impossibility results, using a condition, called Dominance principle, which states that if x is preferred to y, then (x,z) must be preferred to (y,z).

Suggested Citation

  • V. Denicolo', 1994. "An Impossibility Theorem on Extending Orders," Working Papers 209, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:209
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