Most bigamous marriages are void from the inception, with or without a judgment, pursuant to
Family Code Sec. 2201. Some, e.g., where the spouse has been absent for years and is presumed dead, are voidable. See
Family Code Sec. 2210. The facts can get sticky - there was
an interesting case a while back where a wife married husband 1, then married husband 2, then divorced husband 1, then married husband 3. As the second marriage was void and as the wife was divorced from her first husband at the time she married husband 3, the third marriage was found to be valid.