Fuzzy Social Choice Theory

Michael B. Gibilisco, Annie M. Gowen, Karen E. Albert, John N. Mordeson, Mark J. Wierman, Terry D. Clark (Autoren)

Buch | Softcover

XVIII, 185 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-35671-6 (ISBN)

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This book offers a comprehensive analysis of the social choice literature and shows, by applying fuzzy sets, how the use of fuzzy preferences, rather than that of strict ones, may affect the social choice theorems. To do this, the book explores the presupposition of rationality within the fuzzy framework and shows that the two conditions for rationality, completeness and transitivity, do exist with fuzzy preferences. Specifically, this book examines: the conditions under which a maximal set exists; the Arrow's theorem; the Gibbard-Satterthwaite theorem and the median voter theorem. After showing that a non-empty maximal set does exists for fuzzy preference relations, this book goes on to demonstrating the existence of a fuzzy aggregation rule satisfying all five Arrowian conditions, including non-dictatorship. While the Gibbard-Satterthwaite theorem only considers individual fuzzy preferences, this work shows that both individuals and groups can choose alternatives to various degrees, resulting in a social choice that can be both strategy-proof and non-dictatorial. Moreover, the median voter theorem is shown to hold under strict fuzzy preferences but not under weak fuzzy preferences. By providing a standard model of fuzzy social choice and by drawing the necessary connections between the major theorems, this book fills an important gap in the current literature and encourages future empirical research in the field.

Fuzzy Social Choice.- Classical Social Choice Theorems.- Rationality of Fuzzy Preferences.- Arrow and the Aggregation of Fuzzy Preferences.- Characteristics of Strategy-Proof Fuzzy Social Choice.- Fuzzy Black's Median Voter Theorem.- Representing Thick Indifference in Spatial Models.- Conclusion.

Erscheinungsdatum	14.09.2016
Reihe/Serie	Studies in Fuzziness and Soft Computing
Zusatzinfo	XVIII, 185 p. 7 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Sozialwissenschaften ► Politik / Verwaltung ► Politische Theorie
	Technik
Schlagworte	Artificial Intelligence • Computational Intelligence • Engineering • Fuzzy maximal set • Fuzzy spatial model • Fuzzy weak preference • group decision making • Individual Preference • Mathematics in the Humanities and Social Sciences • Maths for scientists • Political science and theory • political theory • Social choice theorem • Social preference relation • Strategy-proof choice function
ISBN-10	3-319-35671-2 / 3319356712
ISBN-13	978-3-319-35671-6 / 9783319356716
Zustand	Neuware