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     

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 Electoral College and Conflict in American History and Politics

The historical relationship between the electoral college and controversial U.S. presidential elections, specifically with respect to conflict, is examined. The elections of 1800, 1824, 1860, 1876, 1888, 1968, and 2000 are examined. Aside from the 2000 election, there has been essentially no conflict in American history due to the electoral college. The constitutional structure and thinking behind the form of the electoral college is given, with emphasis on the federal aspects of the structure. The current movement to abolish the electoral college in favor of direct popular vote is depicted, along with the arguments against making that change. The conclusion is that we as a nation are far better off to retain the status quo than to make the called-for change.     

The Relationship Between Sense of Coherence and Career Thoughts

The authors examined the impact of sense of coherence on the career thought processes of a sample of college students. A. Antonovsky (1987) defined sense of coherence as the global orientation that the world is comprehensible, manageable, and meaningful. Study participants completed the Sense of Coherence Scale (A. Antonovsky, 1987) and the Career Thoughts Inventory (CTI; J. P. Sampson, G. W. Peterson, J. G. Lenz, R. C. Reardon, & D. E. Saunders, 1996). Multivariate tests indicated a medium relationship between sense of coherence and CTI Total and subscale scores; sense of coherence accounted for 14% of the variance. Univariate tests also indicated a medium relationship between sense of coherence and each subscale.     

EXAMINING THE WAGE DIFFERENTIAL FOR MARRIED AND COHABITING MEN

Wage analyses indicate that married and cohabiting men earn more than do single, noncohabiting men. This article examines the nature of these wage differentials using data from the National Survey of Families and Households. Results indicate that the marital and cohabitation differentials are quite distinct. The higher wage observed for cohabiting men is driven primarily by selection and is eliminated by first differencing, but the higher wage observed for married men (and perhaps long-term cohabiters) arises largely because of differential wage growth. Wages appear to rise more rapidly following marriage.