A majorization comparison of apportionment methods in proportional representation

From the inception of the proportional representation movement it has been an issue whether larger parties are favored at the expense of smaller parties in one apportionment of seats as compared to another apportionment. A number of methods have been proposed and are used in countries with a proportional representation system. These apportionment methods exhibit a regularity of order, as discussed in the present paper, that captures the preferential treatment of larger versus smaller parties. This order, namely majorization, permits the comparison of seat allocations in two apportionments. For divisor methods, we show that one method is majorized by another method if and only if their signpost ratios are increasing. This criterion is satisfied for the divisor methods with power-mean rounding, and for the divisor methods with stationary rounding. Majorization places the five traditional apportionment methods in the order as they are known to favor larger parties over smaller parties: Adams, Dean, Hill, Webster, and Jefferson. Received: 5 August 2000/Accepted: 24 October 2001     

Hidden Resources and Barriers in Career Learning Assessment With Adolescents Vulnerable to Discrimination

The authors maintain that the social learning theory of career development and counseling has not been applied to diverse populations. To address this gap in the literature, the authors conducted a qualitative analysis of interviews with 21 middle school students in a low‐income, culturally diverse, inner‐city public school. Four themes emerged, reflecting the influence of discrimination on participants' career learning: contextual barriers and resources for learning, and psychological barriers and resources for learning. The authors provide a conceptual framework for assessing resources and barriers and a rationale for why these aspects often remain hidden or unexamined in career assessment with clients who are vulnerable to discrimination.     

Book Review: The Other Feminists: Activists in the Liberal Establishment,by Susan M. Hartmann. Yale University Press,New Haven,CT, 1998

VOLUNTAS: International Journal of Voluntary and Nonprofit Organizations -     

Territorial Modernity and Public Space: Lessons from the Politics of Water Conflict Along the US/Canadian Border

Conflict over water resources is a major problem throughout the world. This essay describes the long-standing and often successful effort to insulate decisions on how to allot water among contending users, and how to reduce water pollution along a 5000-mile international border. The effort has been fraught with political and scientific complexity. Yet, after more than 90 years of experience, it provides a model that other nations are beginning to examine as relevant to their own efforts to find solutions.     

The residual effect of a growth-decay mechanism and the distributions of covariance structures

The product of two independent or dependent scalar normal variables, sums of products, sample covariances, and general bilinear forms are considered. Their distributions are shown to belong to a class called generalized Laplacian. A growth-decay mechanism is also shown to produce such a generalized Laplacian. Sets of necessary and sufficient conditions are derived for bilinear forms to belong to this class. As a generalization, the distributions of rectangular matrices associated with multivariate normal random vectors are also discussed.     

On the run length of a Shewhart chart for correlated data

We consider an extension of the classical Shewhart control chart to correlated data which was introduced by Vasilopoulos/Stamboulis (1978). Inequalities for the moments of the run length are given under weak conditions. It is proved analytically that the average run length (ARL) in the in-control state of the correlated process is larger than that in the case of independent variables. The exact ARL is calculated for exchangeable normal variables and autoregressive processes (AR). Moreover, we compare this chart with residual charts. Especially, in the case of an AR(1)—process with positive coefficient, it turns out that the out-of-control ARL of the modified Shewhart chart is smaller than that of the Shewhart chart for the residuals.     

Nichts genaues weiss man nicht!?

What do voters really know about party platforms and how do they perceive the contents? Are there any relationships between party election platforms and electoral behavior? Despite of much research on parties, there are hardly any answers to these questions. If political parties devise programmes in order to influence political attitudes or electoral behavior, it will be necessary that these programmes are read by people. But it seems to be unclear if and how people do so. This article shows clearly that voters don’t know much about party manifestoes. Still, programmes are more important for voters than many people believe. Programmes are also an important factor for electoral behavior. But there is still a lack of data to get evident results.     

Gender Differences in Union Formation in Mexico: Evidence From Marital Search Models

Although increasingly appreciated for their explanatory power in developed societies, marital search models have yet to be widely applied to developing nations. This article evaluates the applicability of marital search models to marriage timing in Mexico. The analysis compares separate models of union formation for men and women that include individual and marriage market predictors. Results show that union formation is closely linked to the uncertainties surrounding the transition to adulthood and the availability of marriageable partners. Improvements in women's economic position do not diminish the attractiveness of marriage, as female independence arguments would suggest. Instead, they are a central force behind the stability of marriage behavior in Mexico. A central transformation identified in the analysis is the reduction in sex differences in age at marriage as women expand their education and labor force participation.