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Aren't wages directly associated with productivity?

Abbreviated Question: 
Aren't wages directly associated with productivity?
Answer: 

Your proposed theory of wage setting appears to be consistent with the way that most economists would approach this issue.  That is, most economists would accept that an individual’s wage is determined by the “human capital” – i.e., skills, experience, training, and abilities -- embodied in that individual.  The value of this human capital is, in turn, a function of the relative balance of the demand for and supply of these particular skills.  Human capital that is costly or difficult to acquire will be relatively scarce, and (other things equal) more highly compensated.