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.
多くの投票場面で、ギボードの定理は、任意の決定論的な集団的意思決定プロセスについて、少なくとも次のいずれかが成り立つことを示している：プロセスが独裁的である（結果を強制できる特定の代理人が存在する）、戦略的操作に対して脆弱である、または許容される選択肢の集合に制約を課す。
