In my researching experience, bigamy is not at all common. Dont get me wrong I'm sure it went on, but it is somethng I have rarely come across, and indeed have not found any incidence in my trees.
Sometimes at first glance it appears that a marriage maybe bigamous, but deeper research has revealed that there was a death of first wife, or the marriages in question are actually two different people with similar names and occupations, or some such other explanation.
I remember when I first started more serious Family History research, about 30 years ago, having dabbled a bit before then, I went to an evening class. One thing that stuck in my mind was when the lady taking the class said that as we got into our research she would guarantee that it wouldnt be long before we came across illegitimacy, and that as we went further she would be pretty certain we would encounter the workhouse, someone in prison, a lunatic, someone emigrating, plus come across a time when some branch of the family had a non-conformist phase. Bigamy wasnt on her list of things!
Sure enough as time has gone by we have found incidences of all these things, but none of bigamy.