As far as Anton is concerned, there are two types of women in the world, those he enjoys to spend time with (he thinks of them as Good) and those he does not enjoy to spend time with (he thinks of them as Bad). therefore, he will go on a date with a Good women, but not with a bad woman.

All women want to go on a date with Anton. Doing so gives them 15 units of happiness, while being denied a date gives them no happiness at all (0 units of happiness). To impress him, women can pick wildflowers for Anton. The quality of flowers is denoted by f>0. Anton's feelings about women are reciprocated, so picking flowers for him is more arduous for the Bad women than for the Good women. The cvost of picking flowers is as follows:

Cost of picking flowers for Good women: c_G = f

Cost of picking flowers for Bad women: c_B = 3f

1. Suppose that Anton can tell whether a woman is Good or Bad. Would any pick flowers for Anton?
2. Suppose instead that Anton is unable to tell whether a woman is Good or Bad. Find the smallest quantity of wildflowers that Good women must give Anton to convince him they are good.
3. Are Good women better or worse off in the outcome in 1. compared to 2.? What about bad women?