The mating market as defined in biological market theory is what is behind the process we call natural selection.

Not sure if this is correct. Mating market suggests, like a financial market, the rational choice of market participants to agree on a transaction. While mating can of course be agreed on (and is hopefully always), natural selection in contrast is what happens after that. The mating partners can´t know if the offspring will have a better survival chance as they are not aware about 100% of the genomes of the partners, so strictly speaking you can´t say the mating market is behind natural selection.