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     

The arithmetic of growth: Methods of calculation

This is a tutorial on the relations between population data and the rates of growth that are calculated from the data. For the calculation of rates of growth, discrete and continuous compounding will be compared so that the reader can see the reasons for using the mathematics of continuous compounding, which is the mathematics of exponential growth. Some properties of exponential growth are developed. Semi-logarithmic graphs will be discussed as a device for representing the size of growing populations and for analyzing the nature of the growth. Illustrative examples will be worked out in order to emphasize applications and utility.     

A magical model to predict individual differences in mood change

We tested a mathematical model of psychological well-being (PWB) with data from a paradigm that included a negative mood induction followed by a positive induction. The propositions from the model encompass the hypothesis that the relative mood prior to either induction has implications for the magnitude of subsequent induction effects, such that relative mood is defined by current mood as a ratio of the prevailing mood that is predicted by the model. The findings confirm the hypothesis that the relative mood at baseline predicts mood change in a nonoverlapping time period, even after control for potentially mediating variables.     

Happiness has traitlike and statelike properties: A reply to Veenhoven

Veenhoven (1994) contrasted hypotheses of whether happiness is a trait or state, concluding that it is a state variable. This article critiques the conceptual foundation of Veenhoven's paper, and examines technical deficiencies in his review of evidence. Based on previous findings and new analyses, we conclude that happiness has both traitlike and statelike properties, but that individual differences in happiness endure despite its situational reactivity, and explain greater variance than situational effects.     

Non-profit institutions in a flow of funds framework

The benefits of providing a separate accounting for non-profit organisations in the financial accounts of the United States are discussed. At present, national economic accounts in the US include non-profit organisations with individuals in the household sector; separate information on the financial activity of non-profit institutions until now has not been available. In this paper, aggregate statistics from federal government tax-exempt filings for non-profit institutions are put into a US flow-of-funds framework. The data for the 1982–1988 period indicate that non-profit institutions accounted for a significant and growing proportion of assets of the household sector in the United States. Their liabilities were also a surprisingly large share of the household sector total. Moreover, funds supplied by the non-profit sector for investment were in some years comparable to funds made available by several important groups of non-depository financial intermediaries. Separate accounting for non-profit organisations within national economic accounts would be likely to reveal an important channel for investment financing in the United States and would significantly improve our ability to measure and analyse the financial activity of individuals by allowing for a purer household sector.The analysis and conclusions set forth are those of the authors and do not necessarily indicate concurrence by Salomon Brothers, the Board of Governors, Federal Reserve Banks or other members of their staffs.     

Cockpits,Hangars, Boys and Galleys: Corporate Masculinities and the Development of British Airways

This article sets out to examine the role of masculinity in the development of a gendered organizational culture over time. The development of images of masculinity within one company — British Airways — is examined through content analysis of company newsletters, advertising copy, annual reports, internal memoranda, and written rules and regulations. Exploring the notion of ‘multiple masculinities’, the article traces the prominent forms of masculinity that emerged in British Airways and assesses their impact on the ways that organizational practices were developed, maintained and understood. Four key corporate images of masculinity are examined — the pilot, the steward, the engineer and the ‘native boy’— and it is argued that those images contributed to the exclusion of women and people of colour from those occupations by laying down cultural rules about the ideal typical characteristics of the job holder. The article concludes by raising questions about the value of a multiple masculinities focus in explaining changing and contradictory practices of discrimination; the primacy of extra-organizational over organizational practices; and the relationship between multiple masculinities and hegemonic masculinity. Further research is suggested into the extent to which hegemonic masculinity is undermined, over time, by changing and contradictory forms of masculinity within definite sites of gender construction.     

A tobacco and alcohol use profile of San Francisco's Chinese community

Relatively little is known about Asian American tobacco and alcohol use patterns. This is particularly true of Chinese living in the United States--either U.S.-born or non-U.S.-born Chinese. This article presents data from a research project studying tobacco and alcohol use patterns in San Francisco's Chinese community. Data were secured both from focus groups and a self-report telephone survey of a random sample of 1,808 Chinese residents in San Francisco. This results indicate that the prevalence of both tobacco and alcohol use is lower for San Francisco's Chinese population than for the general population. Moreover, those persons who report smoking tend to be different from those who report consuming alcohol. The study concludes that specific, culturally relevant tobacco and alcohol prevention programs should be designed to better reach this target population.