"Gibbard's theorem" meaning in English

{
  "etymology_text": "Proven by philosopher Allan Gibbard in 1973.",
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      "glosses": [
        "A theorem stating that, for any deterministic process of collective decision, at least one of the following three properties must hold: (i) the process is dictatorial, i.e. there exists a distinguished agent who can impose the outcome; (ii) the process limits the possible outcomes to two options only; (iii) the process encourages agents to think strategically: once an agent has identified their preferences, they have no action at their disposal that would best defend their opinions in any situation."
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      "related": [
        {
          "word": "Gibbard-Satterthwaite theorem"
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        "Gibbard's theorem"
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  "word": "Gibbard's theorem"
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{
  "etymology_text": "Proven by philosopher Allan Gibbard in 1973.",
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  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Gibbard-Satterthwaite theorem"
    }
  ],
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      "glosses": [
        "A theorem stating that, for any deterministic process of collective decision, at least one of the following three properties must hold: (i) the process is dictatorial, i.e. there exists a distinguished agent who can impose the outcome; (ii) the process limits the possible outcomes to two options only; (iii) the process encourages agents to think strategically: once an agent has identified their preferences, they have no action at their disposal that would best defend their opinions in any situation."
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  "word": "Gibbard's theorem"
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