Maximal Denumerant of a Numerical Semigroup With Embedding Dimension Less Than Four

Given a numerical semigroup $S =$ and $s\in S$, we consider the factorization $s = c_1 a_1 + c_2 a_2 +... + c_t a_t$ where $c_i\ge0$. Such a factorization is {\em maximal} if $c_1+c_2+...+c_t$ is a maximum over all such factorizations of $s$. We show that the number of maximal factorizations, varying over the elements in $S$, is always bounded. Thus, we define \dx(S) to be the maximum number of maximal factorizations of elements in $S$. We study maximal factorizations in depth when $S$ has embedding dimension less than four, and establish formulas for \dx(S) in this case.Comment: Main results are unchanged, but proofs and exposition have been improved. Some details have been changed considerably including the titl

Human Rights in Labor and Employment Relations: International and Domestic Perspectives

[Excerpt] This volume is intended to collect the best current scholarship in the new and growing field of labor rights and human rights. We hope it will serve as a resource for researchers and practitioners as well as for teachers and students in university-level labor and human rights courses. The animating idea for the volume is the proposition that workers\u27 rights are human rights. But we recognize that this must be more than a slogan. Promoting labor rights as human rights requires drawing on theoretical work in labor studies and in human rights scholarship and developing closely reasoned arguments based on what is happening in the real world. Citing labor clauses in the Universal Declaration of Human Rights is one thing; relating them to the real world where workers seek to exercise their rights is something else. The contributors to this volume provide a firm theoretical foundation grounded in the reality of labor activism and advocacy in a market-driven global economy

Learning-By-Doing Vs. On-the-Job Training: Using Variation Induced by the EITC to Distinguish Between Models of Skill Formation

This paper investigates the impact of wage subsidies on skill formulation. We analyze two prototypical models of skill formation: (a) a learning-by-doing model and (b) an on-the-job training model. We develop conditions on the pricing of jobs under which the two models are equivalent. In general they are different and have different implications of wage subsidies on skill formation. On-the-job training models predict that wage subsidies reduce skill formation. Learning-by-doing models predict the opposite. The provisional evidence favors the learning-by-doing model. We apply our estimates to investigate the impact of the EITC on skill formation. We estimate that the EITC reduced the long term wages of participants with low levels of education.

Earnings Functions and Rates of Return

The internal rate of return to schooling is a fundamental economic parameter that is often used to assess whether expenditure on education should be increased or decreased. This paper considers alternative approaches to estimating marginal internal rates of return for different schooling levels. We implement a general nonparametric approach to estimate marginal internal rates of return that take into account tuition costs, income taxes and nonlinearities in the earnings-schooling-experience relationship. The returns obtained by the more general method differ substantially from Mincer returns in levels and in their evolution over time. They indicate relatively larger returns to graduating from high school than from graduating from college, although both have been increasing over time.schooling, marginal internal rate of return, nonparametric estimation

EARNINGS FUNCTIONS AND RATES OF RETURN

The internal rate of return to schooling is a fundamental economic parameter that is often used to assess whether expenditure on education should be increased or decreased. This paper considers alternative approaches to estimating marginal internal rates of return for different schooling levels. We implement a general nonparametric approach to estimate marginal internal rates of return that take into account tuition costs, income taxes and nonlinearities in the earnings-schooling-experience relationship. The returns obtained by the more general method differ substantially from Mincer returns in levels and in their evolution over time. They indicate relatively larger returns to graduating from high school than from graduating from college, although both have been increasing over time.

Earnings Functions, Rates of Return and Treatment Effects: The Mincer Equation and Beyond

This paper considers the interpretation of "Mincer rates of return." We test and reject the Mincer model. It fails to track the time series of true returns. We show how repeated cross section and panel data improves the ability of analysts to estimate the ex ante and ex post marginal rate of returns. Accounting for sequential revelation of information calls into question the validity of the internal rate of return as a tool for policy analysis. The large estimated psychic costs of schooling found in recent work helps to explain why persons do not attend school even though the financial rewards for doing so are high. We present methods for computing distributions of ex post and ex ante returns.