Sorry for my bad english.
You are all in error : Green stars EXIST. All the white stars are, in reality, green, probably.
My english is really to poor for explain that to you, but white stars don't really exist (white is just the sum of colors : No star send the exact amount of energy in each color => Each star has a color).
White stars are, in reality, greens. But we don't see really well green. Our green receptors see more light than our blue and red receptors, but react less : The result is the same reactions for all, and the same level of each color is always white.
Same thing for purple/violet stars : Our receptors don't react to colors "biggers" than blue (ultraviolet, in that case). Then, we see the others. And a purple star send more blue color than all the others colors of the spectrum.
But, in a space game, well, we don't are all human. others species can see others colors than us. Perhaps Drengin can see green better than red. Or perhaps their eyes receptors are entirely differents and see, by example, Yellow-Green-Violet ? Gamma-Red-Blue ?
P.S. We that, you can guess the real color of our Sun. It's yellow-green

Yes, as the apples.