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New candidates welcome! Possible winners with respect to the addition of new candidates

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  • Chevaleyre, Yann
  • Lang, Jérôme
  • Maudet, Nicolas
  • Monnot, Jérôme
  • Xia, Lirong

Abstract

In voting contexts, some new candidates may show up in the course of the process. In this case, we may want to determine which of the initial candidates are possible winners, given that a fixed number k of new candidates will be added. We give a computational study of this problem, focusing on scoring rules, and we provide a formal comparison with related problems such as control via adding candidates or cloning.

Suggested Citation

  • Chevaleyre, Yann & Lang, Jérôme & Maudet, Nicolas & Monnot, Jérôme & Xia, Lirong, 2012. "New candidates welcome! Possible winners with respect to the addition of new candidates," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 74-88.
    • Handle: RePEc:eee:matsoc:v:64:y:2012:i:1:p:74-88
    DOI: 10.1016/j.mathsocsci.2011.12.003
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    References listed on IDEAS

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    1. Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001. "Strategic Candidacy and Voting Procedures," Econometrica, Econometric Society, vol. 69(4), pages 1013-1037, July.
    2. Jean-FranÚois Laslier, 2000. "Aggregation of preferences with a variable set of alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(2), pages 269-282.
    3. repec:dau:papers:123456789/3900 is not listed on IDEAS
    4. Gilbert Laffond & Jean Lainé & Jean-François Laslier, 1996. "Composition-consistent tournament solutions and social choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 75-93, January.
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    Cited by:

    1. Kamwa, Eric & Merlin, Vincent, 2015. "Scoring rules over subsets of alternatives: Consistency and paradoxes," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 130-138.

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