The concept you are looking for is market power or monopoly power. But in reality it should be anti-competitive behavior and market domination. There isn't anyone that would argue that a single or a group of firms dominating a sizeable amount of market, enough that they could, not that they do, influence and undermine the competitors is a desired status quo.
A good market competitiveness index (or really a set of indexes) should also influence automatic scrutiny.
A good market competitiveness index (or really a set of indexes) should also influence automatic scrutiny.