Social Welfare Functionals and Arrow’s Impossibility Theorem
The Austrians and the Arrow Impossibility Theorem
... Despite Arrow having said this in the clearest possible terms, Buchanan finds it necessary to introduce a distinction, such that these terms will no longer mean what Arrow meant by ...the social ...
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Extending Xu's results to Arrow''s Impossibility Theorem
... and Theorem 4 invoke Condition ...the social-choice-theoretic framework. On the other hand, Xu and Theorem 4 agree with Sen’s argument against the weak Pareto principle and plead for the integration ...
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Interest Groups and the Impossibility of Democratic Socialism: Hayek, Jewkes, and the Arrow Theorem
... own social organization. The laws of his own social action, hitherto standing face-to-face with man as laws of Nature foreign to, and dominating him, will then be used with full understanding, and so ...
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A New Explanation of K J Arrow’s Impossibility Theorem: On Conditions of Social Welfare Functions
... Sen (1970: p. 37) first gave a popular explanation: “to give an analogy, in an election involving Mr. A and Mr. B, the choice should depend on the voters’ orderings of A vis-a-vis B, and not on how the voters rank Mr. A ...
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Disproved or vindicated? Stein Rokkan s impossibility theorem on welfare democracy and European integration
... European Social Policy 29(1) The aim of this short article is to revisit Rokkan’s impossibility theorem: has it been disproved or vin- dicated? After summarizing in the first section the tenets of ...
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An Impossibility Theorem for Clustering
... from social choice theory, including versions of Arrow’s Impossibility Theorem [2], can be applied to characterize recom- mendation systems satisfying collections of simple ...an impossibility ...
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An Impossibility Result for Social Welfare Relations in Infinitely-lived Societies
... 2 v = con . By Theorem 3.2, 1 u LM 1 v, so that 1 u 1 v, but by Theorem 4.2, 1 v LX 1 u, so that 1 v 1 u, a contradiction. Conclusions This paper analyses liberal axioms for swrs in societies with an ...
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Roberts' theorem with neutrality: A Social welfare ordering approach
... ) Impossibility Theorem in mechanism design asserts that in unrestricted domains, every implementable social choice function which has at least three alternatives in its range, must be ...of ...
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Arrow’s Impossibility Theorem and the distinction between Voting and Deciding
... Schulze’s “review” was published in October, I was not notified and saw it only on November 6. After some email exchanges that clarified that the “review” was not retracted, I logged my response on November 9 and ...
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Kenneth Arrow’s impossibility theorem stretching to other fields
... Arrow’s impossibility result, which shook up major parts of welfare economics, also had a larger impact on fields of science that are quite far away from economics ...in welfare economics after the ...
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Arrow's Impossibility Theorem: Preference Diversity in a Single-Profile World
... Samuelson’s chocolates example is a vivid attack on neutrality, but should not be viewed as a compelling reason to drop it. One response to the example is to say society should not decide that x is better than 1 x in ...
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Arrow's impossibility theorem: Two simple single-profile versions
... redistributionist), neutrality would have implied that all the x’s are socially indifferent. This would have been perfectly logical. Another response is to observe that neutrality is a property of very important and ...
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Complete Characterization of Functions Satisfying the Conditions of Arrow\u27s Theorem
... Arrow’s theorem implies that a social welfare function satisfying Transitivity, the Weak Pareto Principle (Unanimity) and Independence of Irrelevant Alternatives (IIA) must be dic- ...dictatorial ...
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The impossibility of social evaluations of infinite streams with strict inequality aversion
... in welfare for the rich that are accompanied by increases to the poor must be socially preferred when the gain of the poor is greater than the loss of the ...
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The Impossibility of Democratic Socialism in a Factionalized Society: Hayek, Jewkes, and the Arrow Theorem
... the Arrow paradox is particularly fatal to democratic ...and Arrow showed that neither can socialism “calculate” the will of the people or the optimal political policy without resorting to ...the ...
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Impossibility Results for Nondifferentiable Functionals
... nonsmooth functionals of the underlying distribution of the data, and this creates challenges for standard es- timation and inference ...convolution theorem for semiparametric estimators, cannot be used, ...
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An impossibility theorem for allocation aggregation
... Aggregation carried out by (3.4) might arise when experts report to an external decision maker who incorporates his or her own preferred allocation ( into the final allocation. Remark 3.1.2. It is natural to wonder if ...
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Sublinear functionals and Knopp's core theorem
... In this paper we arc concerned with inequalities involving certain sublincar functionals on m, the space of real bounded sequences.. Such inequalities being analogues of Knopp’s (.’trc t[r] ...
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Structure Theorem for Functionals in the Space Sω1,ω2′
... space S ω 1 ,ω 2 of all C ∞ functions ϕ such that sup |α|≤m e kω 1 ∂ α ϕ ∞ and sup |α|≤m e kω 2 ∂ α ϕ ∞ are finite for all k ∈ N 0 , α ∈ N n 0 , where ω 1 and ω 2 are two weights satisfy- ing the classical ...
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Nonstandard limit theorem for infinite variance functionals
... S α (σ, β, μ) , following [ 11 ]. A process is an α-stable Lévy motion if it is a Lévy process with increments which are stable; see [ 11 ] for more details. The standard approach which relies on the chaos ...
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