Why don't women in India and China have more leverage?

I KNOW that India is a male dominated society. I am around Indians every day. At least a third of the people I interact with on an ongoing basis were born in India. What I don't understand is how the woman shortage in India doesn't translate into leverage. Social interaction is a commodity. Women in most of the world have figured this out. In the poorer parts of Latin America, women acknowledge that it's a man's market because men either get killed in violent fights or get a job far away in a more prosperous place, leaving a gender imbalance. In the Western world, women, both married and single charge a high premium on their social interaction because they already have economic power. This charge isn't necessarily financial, it could be non-monetary demands as well.

When it comes to their demands in exchange for social interaction, why don't women in India and China demand consideration commensurate with the circumstances, namely a shortage of women?