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单词 impossibility theorem
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impossibility theorem
impossibility theorem n. (see quots.).Earlier known as the possibility theorem n. at possibility n. Compounds.
ΘΚΠ
the mind > mental capacity > belief > uncertainty, doubt, hesitation > impossibility > [noun] > theory of
impossibility theorem1957
1950 K. J. Arrow in Jrnl. Polit. Econ. 58 342 The Possibility Theorem shows that, if no prior assumptions are made about the nature of individual orderings, there is no method of voting which will remove the paradox of voting discussed in Part I, neither plurality voting nor any scheme of proportional representation, no matter how complicated.]
1957 R. D. Luce & H. Raiffa Games & Decisions xiv. 333 (heading) Conditions on the social welfare function and Arrow's impossibility theorem.
1960 Q. Jrnl. Econ. 74 509 (heading) Proof of the Arrow impossibility theorem.
1967 K. J. Arrow in Laslett & Runciman Philos., Politics & Society 3rd Ser. 228 The following general theorem may be stated: There can be no constitution simultaneously satisfying the conditions of Collective Rationality, the Pareto Principle, the Independence of Irrelevant Alternatives, and Non-Dictatorship. The proof falls into two parts. It is first shown that if an individual is decisive for some pair of alternatives, then he is a dictator, contrary to the condition of Non-Dictatorship. Hence, no individual is decisive for any pair of alternatives, and the Impossibility Theorem itself then follows easily with the aid of the Pareto Principle.
1969 D. Black in Jrnl. Law & Econ. 12 ii. 227 The Impossibility Theorem shows that in the general case and apart from restrictions on the members' preferences, no committee procedure will be able to satisfy certain conditions which, Arrow suggests, a procedure might reasonably be required to meet, and that whichever committee procedure we may choose will, for certain sets of schedules, infringe one or more of the apparently reasonable conditions he specifies.
1971 W. Lee Decision Theory & Human Behavior iv. 103 Unhappily..reasonable conditions for deriving a social preference ranking from individual rankings are inconsistent with one another, i.e., in general there may be no social ranking conforming to the desired conditions, a conclusion known as Arrow's impossibility theorem.
extracted from impossibilityn.
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