Denicolò, Vincenzo
(1994)
An Impossibility Theorem on Extending Orders.
Bologna:
Dipartimento di Scienze economiche DSE,
p. 7.
DOI 10.6092/unibo/amsacta/5117.
In: Quaderni - Working Paper DSE
(209).
ISSN 2282-6483.
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Abstract
The problem of extending an ordering on a set of alternatives to its power set is analysed. Kannai and Peleg (1984) and Barberà 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).
Abstract