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     

Multi-valued strategy-proof social choice rules

In this paper we introduce a new definition of strategy-proofness for multi-valued social choice correspondences. We prove two Gibbard-Satterthwaite type results for strategy-proof social choice correspondences. These results show that allowing multiple outcomes as social choices will not necessarily lead to an escape from the Gibbard-Satterthwaite impossibility theorem. Received: 24 January 2001/Accepted: 19 March 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.     

Binding the Generations: Household Formation Patterns among Vietnamese Refugees1

Much of the analysis of refugee and immigrant adaptation has stressed the interaction of prior experience with the requirements of life in a new country. For refugees, that interaction has often been jarring because of the after‐effects of their flight and their relative inability to prepare for a new life in a new country. Yet refugees have often done rather well in economic terms in that new country. The reasons for that relative success have been phrased in cultural terms (e.g., the predisposition toward education) and in general socioeconomic terms (e.g., refugees as educated and skilled). This article examines a set of factors that lie between these customary cultural and socioeconomic categories. Specifically, the paper examines key features of household formation among Vietnamese refugees. An examination of historical data from southern Vietnam indicates patterns in household formation that appear durable over time yet are not shared across the breadth of Vietnam and cannot thus be viewed as “cultural” in the usual sense. A comparison of the historical data with recent national survey data on refugees in the United States indicates that these patterns continue among Vietnamese refugees and are ‐ as compared to other refugees ‐ distinctive to them. These patterns of household formation provide Vietnamese refugees with important options in adaptation to a new country.     

简说李觏

李觏一生从事教育工作，尤其注重平民教育。他想要改革北宋的朝政，因为他未得机会进入仕途，所以无法实行自己的改革主张。胡适说李觏是王安石思想先驱，理由不充分。说曾巩是李觏的学生也无史料依据。关于李觏对孟子的非议，却反映了李觏对孟子的特殊看法。     

论企业管理基础工作的创新

企业管理基础工作是企业管理效益的基石,是管理实现科学化和现代化的首要条件,而管理基础工作的创新是管理创新的前提条件。     

公路桥头跳车成因分析及技术措施

桥头跳车一直是道路桥梁工程界广为关注而又一直尚未解决的重大技术难题，本文针对桥头跳车问题进行了成因分析，介绍了其危害性及可行的几种防治措施，为进一步解决这一问题提供一些可实施的方法。     

黑龙江旅游资源及开发利用

黑龙江旅游资源丰富，通过对黑龙江旅游资源特征的研究，提出开发利用旅游资源，发展黑龙江旅游业的基本对策。     

Bayesian analysis of mixture modelling using the multivariate t distribution

A finite mixture model using the multivariate t distribution has been shown as a robust extension of normal mixtures. In this paper, we present a Bayesian approach for inference about parameters of t-mixture models. The specifications of prior distributions are weakly informative to avoid causing nonintegrable posterior distributions. We present two efficient EM-type algorithms for computing the joint posterior mode with the observed data and an incomplete future vector as the sample. Markov chain Monte Carlo sampling schemes are also developed to obtain the target posterior distribution of parameters. The advantages of Bayesian approach over the maximum likelihood method are demonstrated via a set of real data.