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.
> 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.
There are many people that believe monopolies are good, or at least that's what they say. Peter Thiel and Marc Andreessen are notable examples that argue monopolies are good for innovation, as they supposedly allow for the flexibility to explore crazier research. I think this argument is bullshit and demonstrably false but there are influential people that advocate for it.