E-Capacities and the Ellsberg Paradox

Ellsberg's (1961) famous paradox shows that decision-makers give events with known probabilities a higher weight in their outcome evaluation. In the same article, Ellsberg suggests a preference representation which has intuitive appeal but lacks an axiomatic foundation. Schmeidler (1989) and Gilboa (1987) provide an axiomatisation for expected utility with non-additive probabilities. This paper introduces E-capacities as a representation of beliefs which incorporates objective information about the probability of events. It can be shown that the Choquet integral of an E-capacity is the Ellsberg representation. The paper further explores properties of this representation of beliefs and provides an axiomatisation for them.     

社会分层与社会和谐

一、社会分层与社会和谐:社会学永恒的话题在所有的社会中,人们一生下来就面对着不平等,即缺少平等的途径以得到社会所提供的满足欲望的物品(戴维·波普诺,1999:239)。因此,在所有的社会中,都如同地质结构一样,存在着高低有序的等级层次,即社会分层。社会分层是社会学永恒的话题。自社会学的经典时代起,就形成了马克思和韦伯两种传统,此后,关于社会分层的研究就从未脱离西方主流社会学的视线。1在国内学界,社会分层研究也是方兴未艾,其态势正如边燕杰(1999)所言,“制度转型时期的社会分层研究成为近年来社会学研究的一个热点,也是社会科学、…     

Racial differences in high school dropout rates: An analysis of U.S. Metropolitan areas

In this paper, we explore the differences in high school dropout rates among white, black and Hispanic students in 275 U.S. Metropolitan Statistical Areas (MSAs) in 2000. Our analysis focuses on the impact of community and labor market conditions, in hopes of providing insight into the relationship between place and educational outcomes. The explanatory power of our regression models is mixed across racial groups, performing best for whites and Hispanics. Our results also indicate that community factors – most importantly, same-race adult educational attainment in the community, teenage birth rates and residential stability – have a greater impact on dropout rates than labor market factors. Our results suggest that as education reform moves toward broad-based solutions to improve student outcomes including dropout rates, it will be increasingly important to address the structural origins of inequality outside of schools.     

Fringe benefits and income inequality

In this paper, we analyze the distribution of fringe benefits among workers and underline its implications for income inequality. To this end, we develop a positional approach to inequality based on the concept of rent as a potential link between positions and their rewards. We hypothesize that workers extract rent in the form of benefits in industries with worker leverage (in the form of unioniziation, internal labor market, and public employment) or share rent with firms in highly profitable industries that endure for efficiency wage reasons. On the basis of a unique dataset from Israel, we test these hypotheses by estimating the probabilities of obtaining benefits according to industries’ structural features while controlling for cross-industrial differences in workers’ demographic and human capital characteristics. The analyses reveal that benefits are determined by structural factors, representing a separate dimension of the rewards attached to positions, different from earnings. We further stress the importance of incorporating fringe benefits into inequality research, given that benefits together with earnings stratify workers and evidently signify structured positions in the economy.     

Demography and Social Science

Research has demonstrated that son preference has a serious impact on the survival and well-being of female infants and children in some parts of South and East Asia, but little is known about the consequences of son preference in later childhood and adolescence. We compare children's growth trajectories in height over childhood and adolescence in China, where the level of son preference is relatively high, and the Philippines, where it is relatively low. Children's height reflects long-term nutritional status and exposure to infectious diseases, both influenced by household decision-making and, presumably, by a preference for sons. Using data from two high-quality longitudinal studies and multilevel growth models, we find that male children in China show an additional height advantage relative to their female counterparts, when compared to the sex difference in growth trajectories in the Philippines. Further analysis reveals that the additional advantage of males in China is stronger in rural areas.     

Exclusion and vulnerability on public transit: experiences of transit dependent riders in Portland,Oregon

In urban areas, the inequitable distribution of transit systems and services has been shown to reproduce safety and environmental risks – potentially exacerbating preexisting inequities. Thus, how vulnerable populations access and utilize public transportation is of critical concern to urban scholars. This paper utilizes focus group data to explore how transit-dependent (particularly low-income) riders engage with the public transit system in Portland, Oregon. We illustrate specific ways in which transit-dependent riders experience marginalization and exclusion. We find that certain groups, particularly mothers with young children and those with disabilities are not well served by a public infrastructure oriented toward an ‘ideal rider’ who is an economically stable, able-bodied, white, male commuter. We conclude that a public infrastructure meant to serve all riders equitably, yet which fails to consider the unique experiences of marginalized transit users risks further amplifying existing social vulnerabilities and reinforcing gender, racial, and class inequalities.     

Societal Inequality and individual subjective well-being: Results from 68 societies and over 200,000 individuals, 1981–2008

Income inequality has been contentious for millennia, a source of political conflict for centuries, and is now widely feared as a pernicious “side effect” of economic progress. But equality is only a means to an end and so must be evaluated by its consequences. The fundamental question is: What effect does a country's level of income inequality have on its citizens' quality of life, their subjective well-being? We show that in developing nations inequality is certainly not harmful but probably beneficial, increasing well-being by about 8 points out of 100. This may well be Kuznets's inverted “U”: In the earliest stages of development some are able to move out of the (poorly paying) subsistence economy into the (better paying) modern economy; their higher pay increases their well-being while simultaneously increasing inequality. In advanced nations, income inequality on average neither helps nor harms. Estimates are from random-intercept fixed-effects multi-level models, confirmed by over four dozen sensitivity tests. Data are from the pooled World Values/European Values Surveys, Waves 1 to 5 with 169 representative national samples in 68 nations, 1981 to 2009, and over 200,000 respondents, replicated and extended in the European Quality of Life Surveys.     

Field of study variation throughout the college pipeline and its effect on the earnings gap: Differences between ethnic and immigrant groups in Israel

This study demonstrates the analytical leverage gained from considering the entire college pipeline—including the application, admission and graduation stages—in examining the economic position of various groups upon labor market entry. The findings, based on data from three elite universities in Israel, reveal that the process that shapes economic inequality between different ethnic and immigrant groups is not necessarily cumulative. Field of study stratification does not expand systematically from stage to stage and the position of groups on the field of study hierarchy at each stage is not entirely explained by academic preparation. Differential selection and attrition processes, as well as ambition and aspirations, also shape the position of ethnic groups in the earnings hierarchy and generate a non-cumulative pattern. These findings suggest that a cross-sectional assessment of field of study inequality at the graduation stage can generate misleading conclusions about group-based economic inequality among workers with a bachelor’s degree.     

关于Directly-Riemann积分的中值定理

本文在研究Directly－Riemann积分~[1,2]的基础上,得到了Directly—Riemann积分的中值定理。     

Product-limit Estimators and Cox Regression with Missing Censoring Information

The Kaplan–Meier estimator of a survival function requires that the censoring indicator is always observed. A method of survival function estimation is developed when the censoring indicators are missing completely at random (MCAR). The resulting estimator is a smooth functional of the Nelson–Aalen estimators of certain cumulative transition intensities. The asymptotic properties of this estimator are derived. A simulation study shows that the proposed estimator has greater efficiency than competing MCAR-based estimators. The approach is extended to the Cox model setting for the estimation of a conditional survival function given a covariate.