Unskilled Workers in an Economy with Skill-Biased Technology

This paper contributes to the search theory of unemployment by endogenously deriving matching functions and surplus sharing rule for skilled and unskilled workers from a wage-posting game. In contrast to previous wage posting models, here both sides of the market are heterogeneous and the resulted matching function can exhibit non-constant returns to scale. The model provides useful explanations for the observed dynamic patterns of within-skill and between-skill wage differentials in the 1970s and 1980s.