作者: Geslin, S (Geslin, S); Salles, M (Salles, M); Ziad, A (Ziad, A)    

标题: Fuzzy aggregation in economic environments I. Quantitative fuzziness, public goods and monotonicity assumptions    

来源出版物: MATHEMATICAL SOCIAL SCIENCES    

卷: 45    

期: 2    

页: 155-166    

DOI: 10.1016/S0165-4896(03)00023-4    

出版年: APR 2003    

摘要: Vagueness of preferences has been formalized by using the tools of fuzzy set theory, particularly in a quantitative context. Considering fuzzy aggregation (aggregation of lists of individual fuzzy preferences into a social fuzzy preference), Barrett, Pattanaik and Salles (BPS) showed that Arrow's impossibility theorem and Gibbard's oligarchy theorem were essentially preserved, given appropriate properties of fuzzy preferences and a sort of unrestricted domain condition. In a series of papers, we intend to analyze fuzzy aggregation in an economic environment. This means that the set of alternatives has some specific mathematical structure and preferences are, in some way, restricted. This first paper deals with the case where the set of alternatives are public goods, preferences exhibit various assumptions, in particular monotonicity assumptions, while BPS other assumptions are preserved. It is shown that according to which monotonicity assumptions are made, possibility results (given by the mean rule) or impossibility results prevail. (C) 2003 Elsevier Science B.V. All rights reserved.    

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ISSN: 0165-4896    

入藏号: WOS:000182783400006