A method for the production of high proportions of homokaryons among spores from breeding stock of the mushroom Agaricus bisporus includes the steps of providing a first strain of Agaricus bisporus having tetrasporic ancestry and which carries a gene or genes that determines the trait for production of basidia which predominantly bear at least three spores rather than two, and crossing the first strain of Agaricus bisporus with a second, different strain of Agaricus bisporus to form at least one hybrid heterokaryotic culture. The culture is capable of producing mushrooms having basidia which predominately bear at least three spores, many of which are homokaryotic. The homokaryons taken from the homokaryotic spores can be used in crosses to produce new hybrid strains of Agaricus bisporus mushrooms which may exhibit improvements with respect to various traits including productivity, rate of development, disease resistance, aesthetic qualities and the like. Also, the homokaryons can be used to map genes that control phenotypic traits of interest.