You phrased the question like you are asking about one night stands. Most women don't do one night stands with strangers. Women just don't pick men up at the grocery store, the movie theater, the park, or the gym. Women very rarely ever do it.
The one time I had a one night stand with a stranger, I was definitely the one who made the first move. I think I was just curious what it would be like to do something like that, have a one night stand in Las Vegas, a sort of "once in a lifetime" sort of experience. I saw him in a bar and he was sitting alone. I watched him for a while and he seemed content to be alone. He didn't appear to be waiting on anyone and no one joined him. He was just enjoying the entertainment. He was older and attractive and well dressed in a suit, expensive overcoat and he was carrying with him an extremely expensive leather bag. I approached him with my glass of wine and I said that he appeared to be alone, like me, so I thought that we might sit together and keep one another company. Like me, he was not in Las Vegas on vacation, which was the reason he was alone. He was charming, well-educated, and pleasant to spend to time with. We talked for a long time, spent time together, and later that night I slept with him. I felt comfortable approaching him because he appeared moneyed, confident, laid back, and very comfortable with himself. He made me feel relaxed around him and safe.
If you're talking about more than a one night stand, women really don't prowl. Attractive women just don't need to prowl. We play defense until we're ready to be caught. When we want to be caught by you, then we let you succeed.
I don't consider myself to be a great beauty, but I've always got a lot more men interested in me than I could possibly ever be involved with, so I never need to prowl. I always have options. I imagine it's exactly the same for other women, too.