The Sims Social, a new online game, is coming to Facebook.

Research over the past three months conducted by Women at NBCU’s Brand Power Index found that more women than men have at least one gaming app on their smartphone; 75 percent of women versus 67 percent of men. Women be gaming!

Moreover, the research showed that those brands that offered games during that time period saw a spike in their Brand Index score. For instance, Stouffer’s launched a game on Facebook, “Farmer’s Harvest” in Farmville, with promotions and moved up from number 363 to number 303.

A Foursquare check-in promotion at Arby’s also moved that brand up from number 266 to number 211.

The top five brands on the latest Brand Index were Walmart, Target, Verizon, eBay, and Ford. Brand Index results are based on data from Compete, New Media Strategies, and the Keller Fay Group.

Separately, eMarketer reports on research showing the top luxury brands on Facebook. The top three are BMW, Clinique, and Audi. More info here.