Lorenz non-consistent welfare and inequality measurement

Typical welfare and inequality measures are required to be Lorenz consistent which guarantees that inequality decreases and welfare increases as a result of a progressive transfer. We explore the implications for welfare and inequality measurement of substituting the weaker absolute differentials and deprivation quasi-orderings for the Lorenz quasi-ordering. Restricting attention to distributions of equal means, we show that the utilitarian model – the so-called expected utility model in the theory of risk – does not permit one to make a distinction between the views embedded in the differentials, deprivation and Lorenz quasi-orderings. In contrast it is possible within the dual model of M. Yaari (Econometrica 55 (1987), 99–115) to derive the restrictions to be placed on the weighting function which guarantee that the corresponding welfare orderings are consistent with the differentials and deprivation quasi-orderings respectively. Finally we drop the equal mean condition and indicate the implications of our approach for the absolute ethical inequality indices.     

On edge orienting methods for graph coloring

We consider the problem of orienting the edges of a graph so that the length of a longest path in the resulting digraph is minimum. As shown by Gallai, Roy and Vitaver, this edge orienting problem is equivalent to finding the chromatic number of a graph. We study various properties of edge orienting methods in the context of local search for graph coloring. We then exploit these properties to derive four tabu search algorithms, each based on a different neighborhood. We compare these algorithms numerically to determine which are the most promising and to give potential research directions.     

A regional solution to the strategy and structure of multinationals

The transnational solution developed by Bartlett and Ghoshal is shown to be suitable for only a few special cases of multinational enterprise (MNE) strategy and structure. As MNEs have most of their assets and sales within their home region, they are in need of regional, not transnational strategy and structure. Here we provide data on the regional dimension of assets and sales of the world’s largest 500 multinationals. We explore how the empirical reality of a regional concentration of assets and sales imposes a regional solution, rather than the transnational solution.     

Multistate life table with duration dependence: An application to Hungarian female marital history

Multistate life table methods have been recognized as an excellent tool in the analysis of many types of transitions. Yet demographers have never been completely satisfied with the Markovian assumption and have stressed the importance of population heterogeneity. In marital status analysis, for example, the time spent in the current status is thought to be of first importance in determining transitions, but computational problems linked to the introduction of duration prevented any estimation of the bias in life table calculations arising from its omission. Building on recent developments in multistate demography, and using data from the 1984 Hungarian microcensus, this paper analyzes the impact that the introduction of duration-specific transitions has on the results of a multistate life table analysis of marital dissolution. The results show that the inclusion of duration has its greatest impact on the distribution of the stationary population between ages 25 and 35.Les tables de survie multi-états ont été reconnues comme un très bon instrument pour l'analyse de nombreux types de transitions. Cependant les démographes n'ont jamais été complètement satisfaits des hypothèses markoviennes et ont insisté sur l'importance de l'hétérogénéité des populations étudiées. Dans l'analyse par état matrimonial, par exemple, le temps passé dans l'état étudié est considéré comme de première importance dans la détermination des transitions. Cependant des problèmes de calcul liés à l'introduction de cette durée avaient empêché toute estimation des biais venant de son omission dans le calcul des tables de survie. Utilisant des développements récents en démographie multi-état et utilisant des données du micro-recensement hongrois de 1984, cet article analyse l'impact que l'introduction de transitions dépendant de la durée, a sur une analyse multi-état des dissolutions de mariages. Les résultats montrent que l'inclusion de la durée a un effet maximum sur la distribution de la population stationnaire, entre les âges de 25 at 35 ans.     

Normalité asymptotique d'estimateurs convergents du mode conditionnel

We state sufficient conditions for asymptotic normality of convergent estimates of the conditional mode, irrespective of data dependence, and give an application to α-mixing stationary processes.     

Sharing beliefs and the absence of betting in the Choquet expected utility model

Choquet expected utility maximizers tend to behave in a more “cautious” way than Bayesian agents, i. e. expected utility maximizers. We illustrate this phenomenon in the particular case of betting behavior. Specifically, consider agents who are Choquet expected utility maximizers. Then, if the economy is large, Pareto optimal allocations provide full insurance if and only if the agents share at least on prior, i. e., if the intersection of the core of the capacities representing their beliefs is non empty. In the expected utility case, this is true only if they have a common prior. Received: July 2000; revised version: May 2001     

Social Protection: Values to be Defended!

Social protection is a part of human rights. I therefore believe it is important to react to the many reproaches levelled at it, which are undermining its legitimacy. This involves defending social protection, first and foremost in the name of its mission, its fundamental objectives and, consequently, the values upon which it is founded. After briefly reviewing the content of these values, I emphasize the fact that they should be promoted and cultivated at least as much as the economic values that are dominant in the world today.     

Small-sample results for maximum-likelihood estimation in branching processes

In this article, small sample properties of the maximum-likelihood estimator (m.l.e.) for the offspring distribution (pk) and its mean m are considered in the context of the simple branching process. A representation theorem is given for the m.l.e. of (Pk) from which the m.l.e. of m is obtained. The case where p0 + p1 + p2 = 1 is studied in detail: numerical results are given for the exact bias of these estimators as a function of the age of the process; a curve fitting analysis expresses the bias of m? as a function of the mean and the variance of the offspring distribution and finally an “approximate m.l.e.” for (pk) is given.