Economics studies what happens in the economy; we can figure out different things depending on whether or not there is harmful government intervention in the free market.
"Perfect markets" by neoclassical definitions mean absurd things, like infinite firms, and no firm having a large % of the market, otherwise there's "monopoly".
By a reasonable standard, the market is fine so-long as there is not initiation of aggression, and the market isn't intervened with; e.g., the government doesn't prohibit competition, our outlaw jobs. When there are problems with the market, the government is usually to blame. And when not -- e.g., occurences of crime, dishonesty, etc -- the government isn't going to make things any better.
What is absolutely fundamental is a respect for private property rights, and a person's right of self-ownership. There are many people who would like to force Wimbledon to pay women equal pay. These people are scum; effectively, they're advocating criminal transgression against other's property. I bet they'd object to someone trying to regulate who they could / couldn't let in their house.
scinearm is right, on the market, there's no such thing as "should get" pay. There is the pay that you can get someone to voluntarily give you, provided the services you provide. That is the just pay.