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International Conference on Relational and Algebraic Methods in Computer Science

RAMICS 2012: Relational and Algebraic Methods in Computer Science pp 278–293Cite as

Relational Concepts in Social Choice

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7560))

Abstract

What now is called social choice theory has ever since attracted mathematicians — not least several Nobel laureates — who try to capture the comparison relations expressed and to aggregate them. Their results are often referred to nowadays. The purpose of this paper is to make point-free relation-algebraic mathematics available as a tool for the study of social choice. Thus, we provide simplification, additional systematics, more compact relation-algebraic proofs and also an access to solving such problems with programs in the language TituRel — at least for the medium sized cases.

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References

  1. Schmidt, G.: Relational Mathematics. Encyclopedia of Mathematics and its Applications, vol. 132. 584 pages. Cambridge University Press (2011) ISBN 978-0-521-76268-7

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  2. Sen, A.K.: Collective choice and social welfare. Mathematical Economics Texts, vol. 5. Holden-Day, San Francisco (1970)

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  3. Schmidt, G., Ströhlein, T.: Relationen und Graphen. Mathematik für Informatiker. Springer (1989) ISBN 3-540-50304-8, ISBN 0-387-50304-8

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  4. Schmidt, G., Ströhlein, T.: Relations and Graphs — Discrete Mathematics for Computer Scientists. EATCS Monographs on Theoretical Computer Science. Springer (1993) ISBN 3-540-56254-0, ISBN 0-387-56254-0

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  5. Suzumura, K.: Rational choice, collective decisions, and social welfare. Cambridge University Press (1983), Reprinted 2009

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  6. Wriglesworth, J.L.: Libertarian conflicts in social choice. Cambridge University Press (1985)

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Author information

Authors and Affiliations

  1. Fakultät für Informatik, Universität der Bundeswehr München, 85577, Neubiberg, Germany

    Gunther Schmidt

Authors
  1. Gunther Schmidt
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Editor information

Editors and Affiliations

  1. Department of Computing and Software, McMaster University, 1280 Main Street West, L8S 4K1, Hamilton, ON, Canada

    Wolfram Kahl

  2. Computer Laboratory, University of Cambridge, 15 JJ Thomson Avenue, CB3 0FD, Cambridge, UK

    Timothy G. Griffin

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© 2012 Springer-Verlag Berlin Heidelberg

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Schmidt, G. (2012). Relational Concepts in Social Choice. In: Kahl, W., Griffin, T.G. (eds) Relational and Algebraic Methods in Computer Science. RAMICS 2012. Lecture Notes in Computer Science, vol 7560. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33314-9_19

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  • DOI: https://doi.org/10.1007/978-3-642-33314-9_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33313-2

  • Online ISBN: 978-3-642-33314-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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