Studies in Fuzziness and Soft Computing

Fuzzy Social Choice Theory

Authors: B. Gibilisco, M., M. Gowen, A., E. Albert, K., N. Mordeson, J., J. Wierman, M., D. Clark, T.

  • Presents a comprehensive analysis of fuzzy set theoretic models of social choice
  • Paves the way for the development of a fuzzy social choice theory
  • Includes applications of the described theory and encourage future empirical research in the field
see more benefits

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-05176-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-05175-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 20, 2016
  • ISBN 978-3-319-35671-6
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

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.

Table of contents (8 chapters)

  • Fuzzy Social Choice

    Gibilisco, Michael B. (et al.)

    Pages 1-9

  • Classical Social Choice Theorems

    Gibilisco, Michael B. (et al.)

    Pages 11-20

  • Rationality of Fuzzy Preferences

    Gibilisco, Michael B. (et al.)

    Pages 21-52

  • Arrow and the Aggregation of Fuzzy Preferences

    Gibilisco, Michael B. (et al.)

    Pages 53-87

  • Characteristics of Strategy-Proof Fuzzy Social Choice

    Gibilisco, Michael B. (et al.)

    Pages 89-116

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-05176-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-05175-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 20, 2016
  • ISBN 978-3-319-35671-6
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Fuzzy Social Choice Theory
Authors
Series Title
Studies in Fuzziness and Soft Computing
Series Volume
315
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-05176-5
DOI
10.1007/978-3-319-05176-5
Hardcover ISBN
978-3-319-05175-8
Softcover ISBN
978-3-319-35671-6
Series ISSN
1434-9922
Edition Number
1
Number of Pages
XVIII, 185
Number of Illustrations and Tables
7 b/w illustrations
Topics