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Titlebook: Societies and Social Decision Functions; A Model with Focus o A. Camacho Book 1982 D. Reidel Publishing Company, Dordrecht, Holland 1982 Ab

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书目名称Societies and Social Decision Functions
副标题A Model with Focus o
编辑A. Camacho
视频video
丛书名称Theory and Decision Library
图书封面Titlebook: Societies and Social Decision Functions; A Model with Focus o A. Camacho Book 1982 D. Reidel Publishing Company, Dordrecht, Holland 1982 Ab
描述A model is an idealization. It is an abstract representation of a given perceived reality. To construct a model one abstracts from the unimportant features of that reality and replaces it by a formal structure, whose properties, explicitly assumed or logically de­ ducible from the stated assumptions, correspond to the interesting relationships of the reality being studied. The purpose of constructing a model is twofold: first, to help better understand a complex reality; second, to help make pre­ dictions with regard to still unobserved phenomena. The first purpose will be satisfied if the constructor of the model is able to identify and disregard the unimportant features of the reality being studied and replaces this reality by an easier to understand formal structure. By applying then the techniques of mathematics and logic to this formal structure we might be able to reach conclusions with regard to still unobserved phenomena, which will be of help in making predictions.
出版日期Book 1982
关键词Abstract; information
版次1
doihttps://doi.org/10.1007/978-94-009-7813-3
isbn_softcover978-94-009-7815-7
isbn_ebook978-94-009-7813-3
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1982
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Social Decision Functions,The idea of a . or ., M, is that of a rule to determine for each state of each society S the action that society . will take when its state . obtains. The Majority Rule, the Unanimity Rule, the Maximin Principle, and the Borda Count, considered in Chapter 3, are examples of the notion of what we will call indistinctly . or ..
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A Theorem Proving the Unsatisfactoriness of the Ordinal Approach to Social Choice,It has been shown by means of examples discussed in Chapters 3 and 7 of this monograph that neither the Majority Rule, nor Unanimity Rule, nor the Maximin Rule, nor the Borda Count, are social decision mechanisms that are Pareto-optimal, in the sense of . of the previous chapter, over the class of societies У.
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Strengthening the Theorem Proved in Chapter 8: Informal Discussion,It was proved in Chapter 7 that a social decision mechanism, which was Pareto-optimal in the sense of . of that chapter over the class of societies У can be constructed if we know for each point (S, . of the domain D of the mechanism the . representation of . and the state s of S corresponding to the point.
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