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Borda winner in facility location problems on sphere

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  • Kazuo Yamaguchi

    (Rissho University)

Abstract

We characterize a Borda winner in facility location problems on a sphere. We show that in desirable (undesirable) facility location problems, the center of population (the antipode of the center of population) is the unique Borda winner if the voters’ average coordinate is not equal to the center of the sphere, and that any location is a Borda winner otherwise.

Suggested Citation

  • Kazuo Yamaguchi, 2016. "Borda winner in facility location problems on sphere," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 893-898, April.
    • Handle: RePEc:spr:sochwe:v:46:y:2016:i:4:d:10.1007_s00355-015-0940-1
    DOI: 10.1007/s00355-015-0940-1
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    1. Hansen, Pierre & Thisse, Jacques-Francois, 1981. "Outcomes of voting and planning : Condorcet, Weber and Rawls locations," Journal of Public Economics, Elsevier, vol. 16(1), pages 1-15, August.
    2. Kawamori, Tomohiko & Yamaguchi, Kazuo, 2010. "Outcomes of bargaining and planning in single facility location problems," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 38-45, January.
    3. Scott Feld & Bernard Grofman, 1988. "The Borda count in n-dimensional issue space," Public Choice, Springer, vol. 59(2), pages 167-176, November.
    4. Wendell, Richard E & Thorson, Stuart J, 1974. "Some Generalizations of Social Decisions under Majority Rule," Econometrica, Econometric Society, vol. 42(5), pages 893-912, September.
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    Cited by:

    1. Min Xi & Wenyu Sun & Yannan Chen & Hailin Sun, 2020. "A derivative-free algorithm for spherically constrained optimization," Journal of Global Optimization, Springer, vol. 76(4), pages 841-861, April.

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