"Gibbard-Satterthwaite theorem" meaning in English

{
  "etymology_text": "Published independently by philosopher Allan Gibbard in 1973 and economist Mark Satterthwaite in 1975.",
  "forms": [
    {
      "form": "the Gibbard-Satterthwaite theorem",
      "tags": [
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  ],
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      "expansion": "the Gibbard-Satterthwaite theorem",
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "A theorem dealing with deterministic ordinal electoral systems that choose a single winner, stating that for every voting rule, one of the following three things must hold: (i) the rule is dictatorial, i.e. there exists a distinguished voter who can choose the winner; or (ii) the rule limits the possible outcomes to two alternatives only; or (iii) the rule is susceptible to tactical voting: in certain conditions some voter's sincere ballot may not defend their opinion best."
      ],
      "id": "en-Gibbard-Satterthwaite_theorem-en-name-jAP5Bhdk",
      "related": [
        {
          "word": "Gibbard's theorem"
        }
      ],
      "wikipedia": [
        "Gibbard-Satterthwaite theorem"
      ]
    }
  ],
  "word": "Gibbard-Satterthwaite theorem"
}

{
  "etymology_text": "Published independently by philosopher Allan Gibbard in 1973 and economist Mark Satterthwaite in 1975.",
  "forms": [
    {
      "form": "the Gibbard-Satterthwaite theorem",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
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      "expansion": "the Gibbard-Satterthwaite theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Gibbard's theorem"
    }
  ],
  "senses": [
    {
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        "English entries with incorrect language header",
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        "English multiword terms",
        "English proper nouns",
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        "Pages with entries"
      ],
      "glosses": [
        "A theorem dealing with deterministic ordinal electoral systems that choose a single winner, stating that for every voting rule, one of the following three things must hold: (i) the rule is dictatorial, i.e. there exists a distinguished voter who can choose the winner; or (ii) the rule limits the possible outcomes to two alternatives only; or (iii) the rule is susceptible to tactical voting: in certain conditions some voter's sincere ballot may not defend their opinion best."
      ],
      "wikipedia": [
        "Gibbard-Satterthwaite theorem"
      ]
    }
  ],
  "word": "Gibbard-Satterthwaite theorem"
}