Volterra integral equations and fractional calculus: Do neighbouring solutions intersect?

This is the author's PDF version of an article published in Journal of integral equations and applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to two Volterra integral equations which have the same kernel but different forcing terms may intersect at some future time

Fragmented property rights and R&D competition

Where product innovation requires several complementary patents, fragmented property rights can be a factor that limits firms’ willingness to invest in the development and commercialization of new products. This paper studies multiple simultaneous R&D contests for complementary patents and how they interact with patent portfolios that firms may have acquired already. We also consider how this interaction and the intensity of the contests depends on the type of patent trade regimes and the product market equilibria that result from these regimes. We solve for the contest equilibria and show that the multiple patent product involves an important hold-up problem that considerably reduces the overall contest effort

Relationship Between Maternal Behavior During Pregnancy, Birth Outcome, and Early Childhood Development: An Exploratory Study

This study examines the relationship between maternal behavior during pregnancy, birth outcomes, and early childhood development. Specifically, in the context of four measures of maternal behavior during pregnancy (maternal smoking, drinking, prenatal care, and maternal weight gain), three measures of birth outcome (gestational age, birth length, and birth weight), and 32 exogenous covariates observed during pregnancy, we investigate the importance of maternal choices during pregnancy and birth outcomes in forecasting child health (as indicated by height and weight), child behavioral problems, and a child math/reading test score at age five or six. Strikingly, birth outcomes have virtually no structural/causal effects on early childhood developmental outcomes, and only maternal smoking and drinking during pregnancy have some effects on child height. Not surprisingly, family child-rearing environment has sizeable negative and positive effects on behavioral problems index and math/reading test score, respectively, and a mildly surprising negative effect on child height.endogeneity, birth weight, NLSY, prediction, simultaneous equations

An Econometric Model of Birth Inputs and Outputs

No abstract.