Would there be fewer sex scandals if the world were run by women?

The question comes to mind in the wake of scandals that involve two powerful men, Dominique Strauss-Kahn and Arnold Schwarzenegger, and came to light almost simultaneously. Strauss-Kahn resigned as head of the International Monetary Fund four days after being arrested in New York for allegedly trying to rape a hotel maid. Schwarzenegger, the former governor of California, admitted having fathered a child with a woman on his household staff.

The two cases are in a different league – Strauss-Kahn is accused of a violent crime, while Schwarzenegger betrayed his wife, Maria Shriver, who stood by him when he campaigned for the governorship under a cloud of accusations that he had groped women during his rise to action movie superstardom.

One of the first public comments on the Schwarzenegger affair came from a prominent woman, former Michigan governor Jennifer Granholm, who suggested it showed that the United States needed more female politicians. “Another guy guv admits 2 cheating on his wife. Maybe we need more women governors. Guys: keep ur pants zipped,” she tweeted.

The message reflects conventional wisdom – men are more prone to sexual misbehavior and adultery than women. “I’m confident predicting there would be fewer sex scandals if women were in power,” former White House Press Secretary Dee Dee Myers wrote in her 2008 book “Why Women Should Rule the World.”

Such predictions are based in large part on the long list of men caught up in scandal at the pinnacle of power, both in politics and business, by adulterous affairs, sexual harassment or rape.