A linear algebra approach to non-transitive expected utility

The purpose of this paper is twofold. One of the aims is to give a view of P. C. Fishburn's non-transitive expected utility through geometric linear algebra. The other is to give an application of these ideas to a social choice problem. Actually, the problem under consideration arises from the theory of dynamical systems of structures in a society as studied in [All] and [Om1]. A variation of this model as presented in [Om2] leads to the problem of how macro structures of a society form coalitions. Their possible irrational behaviour may be treated using non-transitive expected utility. Received: 14 February 1996/Accepted: 22 January 1997     

On some moving-average processes with exponentially distributed innovations

Summary In this paper we discusse the stationary sequence of random variables which are formed from an independent identically distributed sequence, according to the moving-average model of ordern. Some properties of the process are considered. The joint bivariate exponential distribution is given, as well as the distribution of the sum.     

The impact of resources and family-level cultural practices on immigrant women’s workforce participation

This article aims to assess the extent to which women's labor force participation reflects culturally or situationally induced family strategies above and beyond the well-known effects of opportunities and constraints associated with education and the life cycle. We focus particularly on women immigrants from the former Yugoslavia in Australia, and explore the family strategies by comparing the Yugoslav women systematically to immigrant women from other parts of the Mediterranean world and to immigrant women from other parts of the Slavic world. To this end, we use data from the one percent public use sample of individual records of the 1981 Australian Census. We find that the labor force particiaation patterns of immigrant women from the former Yugoslavia are more shaped by education and less shaped by the life course than is true of other groups, although the life course matters for all of them. Indeed, in the impact of education on labor force they closely resemble the Eastern Europeans across most of the range of education. But in the impact of life cycle stage on participation they more closely resemble the Greeks and the Italians. This emphasizes how important it is that statistical agencies release data at the greatest possible level of detail: A country may belong in one group for some purposes, but in a different group for other purposes. We assess a number of explanations for birthplace differences in participation patterns, and find most wanting. We suggest that they may reflect culturally conditioned intergenerational wealth flows and patterns of time investiment in children and the elderly. M.D.R. Evans's research focuses on comparative, international analyses of stratification, ethnicity, culture, and gender. Her book, Prejudice or Productivity, is forthcoming from Westview Press.     

Sexual orientation and self-employment: New evidence

Early studies and theory suggest sexual minorities are drawn towards the relative independence of self-employment to avoid discrimination in paid employment. However, recent evidence is mixed, suggesting that a higher propensity for self-employment (relative to heterosexual people) is found only among lesbian women relative to heterosexual women. This study overcomes the data limitations of prior research by using data pooled from 2007–2017 cycles of the Canadian Community Health Survey (CCHS) and multivariate logistic regression to provide new evidence on LGB self-employment. The results show that self-employment is particularly high for bisexual people, especially bisexual women—but not for gay men or lesbian women. Overall, this study examines the enduring but nuanced relationship between self-employment and sexual orientation and discusses countervailing factors related to socio-economic resources, gender, and family structure.