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Titlebook: Social Choice and Democracy; Norman James Schofield Book 1985 Springer-Verlag Berlin Heidelberg 1985 Choice.rational choice.research.socia

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Structural Stability,possible that the core, or optima set, may exist “sometimes” in this dimension range. If the optima set for the social preference relation σ(u) is non-empty, and for a sufficiently small “perturbation” u’ of the profile u, the optima set for σ(u’) is still non-empty then we shall say the optima set is ..
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Book 1985the last forty years that general theorems have begun to emerge. With the publication of this volume, Norman Schofield brings the results together in a ,common framework. SOCIAL CHOICE AND DEMOCRACY, however, is not merely a synthetic exercise, for Schofield‘s own work over the last decade has const
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Voting Rules,itions obey various filter properties. A natural question is whether the previous restrictions on power, imposed by the filter properties, are . to ensure rationality. In general, however, this is not the case. To see this, for a given class of coalitions define a new BF as follows.
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Local Cycles,mpty and cycles may occur when the set W is discrete and of cardinality v(σ), wes now demonstrate that voting cycles may be constructed in dimension v(σ)—1 or above. Indeed we shall show that a σ-permutation profile exists in this dimension. In parallel to the finite case, the existence of this kind
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