TY - JOUR AU - Mulligan,Casey B. AU - Sala-i-Martin,Xavier TI - Transitional Dynamics in Two-Sector Models of Endogenous Growth JF - National Bureau of Economic Research Working Paper Series VL - No. 3986 PY - 1992 Y2 - February 1992 UR - http://www.nber.org/papers/w3986 L1 - http://www.nber.org/papers/w3986.pdf N1 - Author contact info: Casey B. Mulligan University of Chicago Department of Economics 1126 East 59th Street Chicago, IL 60637 Tel: 773/702-9017 Fax: 773/702-8490 E-Mail: c-mulligan@uchicago.edu Xavier Sala-i-Martin Department of Economics Columbia University 420 West 118th Street, 1005 New York, NY 10027 Tel: 212/854-7055 Fax: 212/854-8059 E-Mail: xs23@columbia.edu AB - The steady state and transitional dynamics of two-sector models of endogenous growth are analyzed in this paper. We describe necessary conditions for endogenous growth. The conditions allow us to reduce the dynamics of the solution to a system with one state-like and two control-like variables. We analyze the determinants of the long run growth rate. We use the Time-Elimination Method to analyze the transitional dynamics of the models. We find that there are transitions in real time if the point-in-time production possibility frontier is strictly concave, which occurs, for example, if the two production functions are different or if there are decreasing point-in-time returns in any of the sectors. We also show that if the models have a transition in real time, the models are globally saddle path stable. We find that the wealth or consumption smoothing effect tends to dominate the substitution or real wage effect so that the transition from relatively low levels of physical capital is carried over through high work effort rather than high savings. We develop some empirical implications. We show that the models predict conditional convergence in that, in a cross section, the growth rate is predicted to be negatively related to initial income but only after some measure of human capital is held constant. Thus, the models are consistent with existing empirical cross country evidence. ER -