Games where the player character is female and potential objects of affection are male are known as Gx B or otome games.
Homosexual relationships are also possible, as there are games with no specific gender lines ("all pairings").
You can even go several times on a date until you are officially with someone.
Sexually explicit dating sims may fall into the category of H Game or Eroge.
Eroge only gets released to PC because large Japanese game companies do not want to release games with sexual content on their game consoles.
While the two genres often share a common visual presentation, dating sims are sometimes considered to be more statistically based than the "choose your own adventure" style of visual novels.
The technical definition of a dating simulation game, known as a romantic simulation game in Japan, can involve several technical elements such as a time limit, several statistics such as looks and charm which can be boosted through exercise, or an "attraction meter" which can increase or decrease depending on one's decisions.