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International Symposium on Neural Networks

ISNN 2009: Advances in Neural Networks – ISNN 2009 pp 238–243Cite as

A Method of Geometric Analysis of Condorcet Function

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5551))

Abstract

Voting is usually used in democratic society for decision-making, but majority circle is inevitable, if choosing that method. It is complex to by combinatory to compute the probability of majority circle, instead of that, geometry is an intuitive and simple method, besides, it can show the relationship between the different combination and majority circle. First, compute the probability of majority circle by combinatory, and then denote candidate triangle and result-profile triangle. Finally analyze each preference combination and its voting result, what’s more, if voting majority circle occurs, compute the probability.

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References

  1. Luo, Y.F., Xiao, R.B.: Theory and Progress of Social Choice. Science Press, Beijing (2003)

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  2. Yue, C.Y.: Decision Theory and Manners. Science Press, Beijing (2000)

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  3. Saari, D.G.: Basic Geometry of Voting. Springer, Heidelberg (1995)

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  4. Saari, D.G.: Geometry Voting and Paradoxes. Mathematics Magazine 71, 243–260 (1998)

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Author information

Authors and Affiliations

  1. College of Public Administration, Huazhong University of Science. & Technology, 430074, Wuhan, China

    Xiaodong Xu

  2. Department of Control Science & Engineering, Huazhong University of Science. & Technology, 430074, Wuhan, China

    Xu Liu

Authors
  1. Xiaodong Xu
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  2. Xu Liu
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Editor information

Editors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

  2. Deptartment of Electrical and Computer Engineering, Stevens Institute of Technology, NJ 07030, Hoboken, USA

    Haibo He

  3. Dept. of Electrical and Computer Engineering, South Dakota School of Mines & Technology, 501 E. St. Joseph Street, Rapid City, SD 57701, USA

    Nian Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Cite this paper

Xu, X., Liu, X. (2009). A Method of Geometric Analysis of Condorcet Function. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_28

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  • DOI: https://doi.org/10.1007/978-3-642-01507-6_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01506-9

  • Online ISBN: 978-3-642-01507-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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