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Condorcet Winners for Public Goods

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Listed:
  • Lihua Chen
  • Xiaotie Deng
  • Qizhi Fang
  • Feng Tian

Abstract

In this work, we consider a public facility allocation problem decided through a voting process under the majority rule. A location of the public facility is a majority rule winner if there is no other location in the network where more than half of the voters would have been closer to than the majority rule winner. We develop fast algorithms for interesting cases with nice combinatorial structures. We show that the computing problem and the decision problem in the general case, where the number of public facilities is more than one and is considered part of the input size, are all NP-hard. Finally, we discuss majority rule decision making for related models. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Lihua Chen & Xiaotie Deng & Qizhi Fang & Feng Tian, 2005. "Condorcet Winners for Public Goods," Annals of Operations Research, Springer, vol. 137(1), pages 229-242, July.
    • Handle: RePEc:spr:annopr:v:137:y:2005:i:1:p:229-242:10.1007/s10479-005-2258-3
    DOI: 10.1007/s10479-005-2258-3
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    References listed on IDEAS

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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. Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
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