Continuity of utility functions representing fuzzy preferences

In a previous paper, we established necessary and sufficient conditions for a given binary fuzzy relation to be representable by a utility function. In this article, we construct a crisp order topology associated to a given weakly complete fuzzy pre-order and introduce the notion of “continuous fuzzy pre-order.” We show that this new condition and the conditions introduced in the previous paper are together necessary and sufficient for a numerical representation of a given weakly complete fuzzy pre-order by a continuous utility function.     

Objective Testing Procedures in Linear Models: Calibration of the p-values

Abstract.  An optimal Bayesian decision procedure for testing hypothesis in normal linear models based on intrinsic model posterior probabilities is considered. It is proven that these posterior probabilities are simple functions of the classical F -statistic, thus the evaluation of the procedure can be carried out analytically through the frequentist analysis of the posterior probability of the null. An asymptotic analysis proves that, under mild conditions on the design matrix, the procedure is consistent. For any testing hypothesis it is also seen that there is a one-to-one mapping – which we call calibration curve – between the posterior probability of the null hypothesis and the classical bi p -value. This curve adds substantial knowledge about the possible discrepancies between the Bayesian and the p -value measures of evidence for testing hypothesis. It permits a better understanding of the serious difficulties that are encountered in linear models for interpreting the p -values. A specific illustration of the variable selection problem is given.     

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Long distance intimacy: class,gender and intergenerational relations between mothers and children in Filipino transnational families

Abstract In this article I address transnational intergenerational relations between Filipino migrant mothers and their young adult children and examine how families achieve intimacy across great distances. I do this by identifying and examining the transnational communication methods Filipino migrant families use to develop intimacy, in other words familiarity, across borders. In my analysis, I address how political economy and gender shape the dynamics of transnational communication. By showing how economic conditions and gender shape transnational family communication, I provide a socially thick lens through which to understand the formation of transnational intimacy and emphasize how larger systems of inequality shape the lives of the children left behind by the global migration of women.     

‘Social choice and welfare’ at 30: its role in the development of social choice theory and welfare economics

The number of papers published in Social Choice and Welfare has tremendously increased over the years. This paper is a subjective overview of the parallel development of the journal and the subjects it covers.