The present paper contributes to the theoretical analysis of the human capital investment and participation decision of heterogeneous workers in the search and matching framework . Its aim is to characterize the equilibrium and to identify the efficiency . Here , the paper studies search equilibrium and matching to consider the participation decision of heterogeneous workers who have different inherent ability levels . The productivity investment decision is endogenous and wages are determined by the Nash bargain among participants. JEL Classifications: J23, J24