Credit: Junko Kimura/Getty Images

Hungry for more Sex?

Well, Sarah Jessica Parker is.

Although Sex and the City 2 was panned by critics and underperformed at the U.S. box office, its central star is game for a third go-round.

"I hope Carrie will live on," Parker told at the sequel's Tokyo, Japan premiere on Tuesday. "She will live on -- even if the movies don't."

Over Memorial Day weekend, the relentlessly promoted Sex and the City 2 debuted at a disappointing no. 3 with $37.1 million; moviegoers preferred Shrek Forever After ($55.7 million) and Prince of Persia ($37.8 million). Panned by critics, Sex and the City 2 grossed less in five days than the 2008 original did in three days.

Mused Moviefone's Gary Susman: "It's possible that the film was hurt by poor reviews, its R-rating, and its 2 1/2-hour running time (allowing for fewer screenings per day) or its inability to attract male moviegoers (polling found the Sex 2 audience to be 90 percent female), but none of these proved obstacles for the first movie. Maybe it's just that real-life women the ages of Carrie or Samantha were busy taking their kids to see Shrek."

Still, Parker told Us, "I feel blessed that we've told so many stories about these lovely characters."

Tell Us: should the girls reunite for a third Sex film?