It's not quite that simple. Eye color depends on more than one allele. There is a brown-blue allele with brown dominant over blue and a blue-green allele with blue dominant over green. However, brown is dominant over the both the blue and green on this allele. The blue-green allele is on a different chromosome from the brown-blue allele.
To make it more complicated, there is another allele that controls the amount of pigment produced so that even pepole having the brown gene may have blue or green eyes if they don't have enough pigment to make a brown color.
There may be other alleles not yet discovered that have some effect too.
Some people have other color eyes, too. (Elizabeth Taylor)
Thanks for the info; I was unaware of those complexities.