Muhammad himself saw the problems for women inherent in polygamy, but did not care, EXCEPT WHEN IT CAME TO HIS OWN DAUGHTER, FATIMAH. When his son-in-law, Ali, wanted to marry others besides Fatimah, Muhammad declared that he could not. (And I don’t believe Ali ever did, while Muhammad was alive). Muhammad did not mind many women having to deal with undevoted husbands, except when it came to his own dearly beloved daughter.
A study conducted by Professor Rana Raddawi (cited at http://www.dawn.com/news/1135346), a professor at the American University of Sharjah, concluded that “Despite religious injunctions to enact perfect justice among multiple wives, Dr Raddawi found that many husbands lapse in this regard. Many of the wives she surveyed complained not only that they did not see their husbands regularly but that they were negligent in meeting their financial and support obligations. In several cases, men did not have the ability to support several households, in which case the amount of support received by a particular wife began to depend on whether or not she was able to cultivate favour with the husband. The consequent emotional issues caused by this state of affairs ranged from depression to anger, hysteria and even illnesses.”