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Aggregation of ranked votes considering different relative gaps between rank positions

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  • Byeong Seok Ahn

    (Chung-Ang University)

Abstract

This paper considers ranked voting systems to determine the rank order of candidates who compete for a limited number of positions. We show that the preferential voting problems based on the data envelopment analysis (DEA) (Wang et al, 2007) can be solved using the extreme points of constraints on rank position importance incorporated in the formulation. This is basically due to the fact that the so-called inverse positive property of the constraints makes it possible to easily find their extreme points. Further, we emphasize that this finding is not restricted to Wang et al’s two linear models, but is also applicable to other DEA-based preferential voting problems, which include the constraints accounting for different relative gaps between rank positions.

Suggested Citation

  • Byeong Seok Ahn, 2017. "Aggregation of ranked votes considering different relative gaps between rank positions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1307-1311, November.
    • Handle: RePEc:pal:jorsoc:v:68:y:2017:i:11:d:10.1057_s41274-016-0153-8
    DOI: 10.1057/s41274-016-0153-8
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    References listed on IDEAS

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    1. Ahn, Byeong Seok, 2015. "Extreme point-based multi-attribute decision analysis with incomplete information," European Journal of Operational Research, Elsevier, vol. 240(3), pages 748-755.
    2. Carrizosa, E. & Conde, E. & Fernandez, F. R. & Puerto, J., 1995. "Multi-criteria analysis with partial information about the weighting coefficients," European Journal of Operational Research, Elsevier, vol. 81(2), pages 291-301, March.
    3. Wade D. Cook & Moshe Kress, 1990. "A Data Envelopment Model for Aggregating Preference Rankings," Management Science, INFORMS, vol. 36(11), pages 1302-1310, November.
    4. Marmol, Amparo M. & Puerto, Justo & Fernandez, Francisco R., 2002. "Sequential incorporation of imprecise information in multiple criteria decision processes," European Journal of Operational Research, Elsevier, vol. 137(1), pages 123-133, February.
    5. Y M Wang & K S Chin & J B Yang, 2007. "Three new models for preference voting and aggregation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(10), pages 1389-1393, October.
    6. Hashimoto, Akihiro, 1997. "A ranked voting system using a DEA/AR exclusion model: A note," European Journal of Operational Research, Elsevier, vol. 97(3), pages 600-604, March.
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