Iowa: Cain 20, Paul 19, Romney 18, Gingrich 17

Support for Cain, 65, a former businessman who has been accused of sexually harassing four women in the 1990s, has dipped in Iowa by three percentage points since a similar survey done Oct. 23-26 by the Des Moines Register.

In the Bloomberg poll, 29 percent of likely caucus participants say they believe Cain’s denials, while 37 percent are waiting for more information. More than a quarter are skeptical of his answers to the harassment allegations or don’t believe him. Cain does better among men than women in the poll, 23 percent to 15 percent.

More than two-thirds of likely caucus participants say they wouldn’t rule out a candidate just because he had been accused of sexual harassment.

Gingrich’s campaign appears to be benefiting from Cain’s recent struggles…

Still, almost half of respondents say they would rule out a candidate who has been married three times and had an extramarital affair. Gingrich, 68, is in his third marriage. And in a March 2007 interview with a Christian group, Focus on the Family, he admitted to having had an extramarital affair.