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Recognizing distributed approval voting forms and correspondences

Author

Listed:
  • Endre Boros

    (Rutgers University)

  • Ondřej Čepek

    (Charles University)

  • Vladimir Gurvich

    (Rutgers University
    National Research University Higher School of Economics)

  • Kazuhisa Makino

    (Research Institute for Mathematical Sciences (RIMS) Kyoto University)

Abstract

We consider distributed approval voting schemes. Each voter $$i \in I$$ i ∈ I has $$\alpha _i$$ α i cards that (s)he distributes among the candidates $$a \in A$$ a ∈ A as a measure of approval. One (or several) candidate(s) who received the maximum number of cards is (are) elected. We provide polynomial algorithms to recognize voting forms and voting correspondences generated by such voting schemes in cases when either the number of candidates or the number of voters is equal to 2. We prove that for two voters, if $$\alpha _2\ge \alpha _1-2\ge 0$$ α 2 ≥ α 1 - 2 ≥ 0 then the unique voting correspondence has distinct rows. We also characterize voting forms with distinct rows.

Suggested Citation

  • Endre Boros & Ondřej Čepek & Vladimir Gurvich & Kazuhisa Makino, 2024. "Recognizing distributed approval voting forms and correspondences," Annals of Operations Research, Springer, vol. 336(3), pages 2091-2110, May.
    • Handle: RePEc:spr:annopr:v:336:y:2024:i:3:d:10.1007_s10479-023-05430-2
    DOI: 10.1007/s10479-023-05430-2
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