Let me endorse this: search and information costs and human psychology seem to me likely to be more powerful drivers of monopsony (and monopoly) power than concentration per se: Arindrajit Dube: "Concentration plays only a modest part in understanding [labor-market] monopsony power. Firms in totally unconcentrated markets still have a labor supply elasticity of 3.7. In other words, even if you totally got rid of labor concentration concentration, you would still have a substantial degree of monopsony, which is endemic. Paper: https://www.nber.org/papers/w25719...
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