Gibbard's theorem
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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.
Gibbard's theorem
In many voting scenarios, Gibbard's theorem implies that for any deterministic process of collective decision, at least one of the following must hold: the process is dictatorial (there exists a distinguished agent who can impose the outcome), it is susceptible to strategic manipulation, or it restricts the set of admissible outcomes.
In many voting scenarios, Gibbard's theorem implies that for any deterministic process of collective decision, at least one of the following must hold: the process is dictatorial (there exists a distinguished agent who can impose the outcome), it is susceptible to strategic manipulation, or it restricts the set of admissible outcomes.
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