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https://en.wikipedia.org/wiki/Double_jeopardy
The rule for mistrials depends upon who sought the mistrial. If the defendant moves for a mistrial, there is no bar to retrial, unless the prosecutor acted in "bad faith," i.e. goaded the defendant into moving for a mistrial because the government specifically wanted a mistrial.[77] If the prosecutor moves for a mistrial, there is no bar to retrial if the trial judge finds "manifest necessity" for granting the mistrial.[78] The same standard governs mistrials granted sua sponte.
Retrials are not common, due to the legal expenses to the government. However, in the mid-1980s Georgia antiques dealer James Arthur Williams was tried a record four times for the murder of Danny Hansford and (after three mistrials) was finally acquitted on the grounds of self-defense. The case is recounted in the book Midnight in the Garden of Good and Evil which was adapted into a film directed by Clint Eastwood (the movie omits the first three murder trials).