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Titlebook: Mathematical Topics on Representations of Ordered Structures and Utility Theory; Essays in Honor of P Gianni Bosi,María J. Campión,Esteban

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发表于 2025-3-21 20:09:13 | 显示全部楼层 |阅读模式
书目名称Mathematical Topics on Representations of Ordered Structures and Utility Theory
副标题Essays in Honor of P
编辑Gianni Bosi,María J. Campión,Esteban Indurain
视频video
概述Presents cutting-edge findings concerning the representability of ordered structures.Describes key examples for applications in economics and social sciences.Offers a multidisciplinary perspective on
丛书名称Studies in Systems, Decision and Control
图书封面Titlebook: Mathematical Topics on Representations of Ordered Structures and Utility Theory; Essays in Honor of P Gianni Bosi,María J. Campión,Esteban
描述.This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work. .
出版日期Book 2020
关键词Order-preserving functions; Continuous utility function; Semiorder separability condition; Fuzzy Prefer
版次1
doihttps://doi.org/10.1007/978-3-030-34226-5
isbn_softcover978-3-030-34228-9
isbn_ebook978-3-030-34226-5Series ISSN 2198-4182 Series E-ISSN 2198-4190
issn_series 2198-4182
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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发表于 2025-3-21 22:27:28 | 显示全部楼层
A Note on Candeal and Induráin’s Semiorder Separability Conditionwith positive threshold can be factorized into two conditions. The first says that the trace of the semiorder must have a numerical representation. The second asserts that the number of “noses” in the semiorder must be finite or countably infinite. We discuss the interest of such a factorization.
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Studies in Systems, Decision and Controlhttp://image.papertrans.cn/m/image/626669.jpg
发表于 2025-3-22 14:06:47 | 显示全部楼层
https://doi.org/10.1007/978-3-030-34226-5Order-preserving functions; Continuous utility function; Semiorder separability condition; Fuzzy Prefer
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The Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and TopologicThis paper reviews both the representation problem and the non-representation problem in utility theory. Beginning with the classical ordinal approach, I then move to also consider certain algebraic and topological environments. Some applications to social choice and measurement theory of the results presented are shown too.
发表于 2025-3-23 02:22:49 | 显示全部楼层
Open Questions in Utility TheoryThroughout this paper, our main idea is to explore different classical questions arising in Utility Theory, with a particular attention to those that lean on numerical representations of preference orderings. We intend to present a survey of open questions in that discipline, also showing the state-of-art of the corresponding literature.
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