Wage premium of fatherhood and labor supply in Japan

Using data from the Japanese Panel Survey of Consumers (JPSC)1994-2006, we examine the effect of child birth on fathers’ wage rates and labor supply in Japan. We also compare effects of fatherhood among different cohorts by dividing the JPSC sample into two birth year cohorts (born in or before 1960 and born after 1960). We find that birth of child significantly increase hourly wage rates by 2.8 percents and annual work by 65 hours. Comparing with results in the U.S. (Lundberg and Rose 2002), the effect of child birth on labor supply is large but the effect on wage rates are relatively small in Japan. We also find that child birth have different impact on labor market outcome between the early and the later cohorts. In the early cohort, birth of child significantly increases wage rates but has no significant effect on labor supply. On the contrary, birth of child does not increases wage rates but significantly increases labor supply in the later cohort. Finally, we examine how gender difference of children matters. Although the impact of gender difference is not so large, the effect of birth of sons is larger than the effect of birth of daughters.child birth; labor supply; wage premium

Isometries on Banach algebras of vector-valued maps

We propose a unified approach to the study of isometries on algebras of vector-valued Lipschitz maps and those of continuously differentiable maps by means of the notion of admissible quadruples. We describe isometries on function spaces of some admissible quadruples that take values in unital commutative $C^*$-algebras. As a consequence we confirm the statement of \cite[Example 8]{jp} on Lipschitz algebras and show that isometries on such algebras indeed take the canonical form.Comment: 35 page