Every Choice Function Is Backwards‐Induction Rationalizable

A choice function is backwards‐induction rationalizable if there exists a finite perfect‐information extensive‐form game such that for each subset of alternatives, the backwards‐induction outcome of the restriction of the game to that subset of alternatives coincides with the choice from that subset. We prove that every choice function is backwards‐induction rationalizable.     

Variance estimation for measures of change in probability sampling

Variance estimation of changes requires estimates of variances and covariances that would be relatively straightforward to make if the sample remained the same from one wave to the next, but this is rarely the case in practice as successive waves are usually different overlapping samples. The author proposes a design‐based estimator for covariance matrices that is adapted to this situation. Under certain conditions, he shows that his approach yields non‐negative definite estimates for covariance matrices and therefore positive variance estimates for a large class of measures of change.     

La dynamique de la monoparentalité féminine au Canada

Dans cet article, nous examinons la place et la durée des épisodes monoparentaux dans l'itinéraire de vie de diverses générations de femmes. L'analyse est conduite à l'aide des données rétrospectives de l'Enquête sur la famille menée en 1984 auprès de plus de 7 000 femmes canadiennes. Les résultats établis à partir de la méthode des tables d'extinction révèlent que plus d'une femme sur trois est susceptible de vivre, à un moment ou l'autre, un épisode de monoparentalité si les tendances observées en 1984 se maintiennent. Peu de différences séparent les diverses générations de répondantes au chapitre de la durée de vie en famille monoparentale. Par contre, les types d'entrée en monoparentalité et les modalités de sortie empruntés par les mères seules distinguent très clairment les diverses cohortes de femmes interrogées.In this article we look at the timing and duration of episodes of single parent status during the life course of various cohorts of women. The analysis was carried out with the help of retrospective data from a Canadian family survey carried out in 1984 which had a sample size of over 7000 women. The results, derived from life-table techniques, show that over one woman in three was likely to experience a period of single-parent status at some time in her life at the risks current in 1984. There were few differences between different cohorts in respect of the duration of time spent as a single parent. On the other hand, different cohorts of women became single parents, and ceased being single parents, for very different reasons.     

Gender wage inequalities in Switzerland: the public versus the private sector

Wage differences between women and men can be divided into an explained part and an unexplained part. The former encompasses differences in the observable characteristics of the members of groups, such as age, education or work experience. The latter includes the part of the difference that is not attributable to objective factors and represents an estimation of the discrimination level. We discuss the original method of Blinder (J Hum Resour 8(4):436–455, 1973) and Oaxaca (Int Econ Rev 14(3):693–709, 1973), the reweighting technique of DiNardo et al. (Econometrica 64(5):1001–1044, 1996) and our approach based on calibration. Using a Swiss dataset from 2012, we compare the estimated explained and unexplained parts of the difference in average wages in the private and public sectors obtained with the three methods. We show that for the private sector, all three methods yield similar results. For the public sector, the reweighting technique estimates a lower value of the unexplained part than the other two methods. The calibration approach and the reweighting technique allow us to estimate the explained and unexplained parts of the wage differences at points other than the mean. By using this, in this paper, the assumption that wages are more equitable in the public sector is analysed. Wage differences at different quantiles in both sectors are examined. We show that in the public sector, discrimination occurs quite uniformly both in lower and in higher-paying jobs. On the other hand, in the private sector, discrimination is greater in lower-paying jobs than in higher-paying jobs.queryPlease check and confirm the given name and family name is correctly identified for the first author and amend if necessary.     

Towards optimal scaling of metropolis-coupled Markov chain Monte Carlo

We consider optimal temperature spacings for Metropolis-coupled Markov chain Monte Carlo (MCMCMC) and Simulated Tempering algorithms. We prove that, under certain conditions, it is optimal (in terms of maximising the expected squared jumping distance) to space the temperatures so that the proportion of temperature swaps which are accepted is approximately 0.234. This generalises related work by physicists, and is consistent with previous work about optimal scaling of random-walk Metropolis algorithms.     

Construire le mérite dans la fonction publique d’État : l’exemple de la Culture (1880-1980)

Merit-based procedures for evaluating and grading civil servants in the French central government have often been studied from the angle of circulations of ideas or practices between the public and private sectors or toward foreign organizations. Less attention has been given to the internal origins of procedures for assessing the work of civil servants. This article focuses on the procedures gradually worked out to evaluate civil servants in the French Ministry of Culture. Light is shed on the difficulties of keeping the Republic's promise to base merit only a difference in talent alone. How to measure a civil servant's work? Are qualifications evaluated while seeing to it that as many government employees as possible receive promotions? This focus on procedures, imagined or actually used, for grading, evaluating and promoting the personnel in museums shows that these processes follow a timing and modality that vary depending on the level in the hierarchy. The evaluation process, however, does wield ties between socio-occupational groups that all else separates. Practices for measuring the work done by these civil servants existed before the neomanagerial objection to the bureaucratic system's rules and regulations in the 1960s. The French way of evaluating merit is not simply an importation of Anglo-Saxon managerial methods.     

A jackknife variance estimator for unequal probability sampling

Summary.  The jackknife method is often used for variance estimation in sample surveys but has only been developed for a limited class of sampling designs. We propose a jackknife variance estimator which is defined for any without-replacement unequal probability sampling design. We demonstrate design consistency of this estimator for a broad class of point estimators. A Monte Carlo study shows how the proposed estimator may improve on existing estimators.     

A rank test for bivariate location and scale problem for elliptically symmetric populations ∗

A nonparametric rank test for the two-sample location and scale bivariate problem is proposed. The asymptotic distribution of the statistic of the test is derived under the null hypothesis and under a class of contiguous alternatives. The asymptotic relative efficiency is given and a simulation study gives the performance of the test and some competitors.