The game Grundy number of graphs

Given a graph G=(V,E), two players, Alice and Bob, alternate their turns in choosing uncoloured vertices to be coloured. Whenever an uncoloured vertex is chosen, it is coloured by the least positive integer not used by any of its coloured neighbours. Alice’s goal is to minimise the total number of colours used in the game, and Bob’s goal is to maximise it. The game Grundy number of G is the number of colours used in the game when both players use optimal strategies. It is proved in this paper that the maximum game Grundy number of forests is 3, and the game Grundy number of any partial 2-tree is at most 7.     

WOMEN PREFER LARGER GOVERNMENTS: GROWTH,STRUCTURAL TRANSFORMATION,AND GOVERNMENT SIZE

The increase in income per capita is accompanied, in virtually all countries, by two changes in economic structure: the increase in the share of government spending in gross domestic product (GDP), and the increase in female labor force participation. We argue that these two changes are causally related. We develop a growth model based on Galor and Weil (1996) where female participation in market activities, fertility, and government size, in addition to consumption and saving, is endogenously determined. Rising incomes lead to a rise in female labor force participation as the opportunity cost of staying at home and caring for the children increases. In our model, higher government spending decreases the cost of performing household chores, including, but not limited to, child rearing and child care, as in Rosen (1996) . We also use a wide cross‐section of data for developed and developing countries and show that higher market participation by women is positively and robustly associated with government size. We then investigate the causal link between participation and government size using a novel unique data set that allows the use of the relative price of productive home appliances as an instrumental variable. We find strong evidence of a causal link between female market participation and government size. This effect is robust to the country sample, time period, and a set of controls in the spirit of Rodrik (1998) . (JEL O4, E62, H11)     

On the Validity of the Bootstrap in Non‐Parametric Functional Regression

Abstract. We consider the functional non‐parametric regression model Y= r( χ )+?, where the response Y is univariate, χ is a functional covariate (i.e. valued in some infinite‐dimensional space), and the error ? satisfies E(? | χ ) = 0. For this model, the pointwise asymptotic normality of a kernel estimator of r (·) has been proved in the literature. To use this result for building pointwise confidence intervals for r (·), the asymptotic variance and bias of need to be estimated. However, the functional covariate setting makes this task very hard. To circumvent the estimation of these quantities, we propose to use a bootstrap procedure to approximate the distribution of . Both a naive and a wild bootstrap procedure are studied, and their asymptotic validity is proved. The obtained consistency results are discussed from a practical point of view via a simulation study. Finally, the wild bootstrap procedure is applied to a food industry quality problem to compute pointwise confidence intervals.     

Crise de la rationalité industrielle et transformations de la prescription. Une étude de cas

Studies of industrial rationality should be reconsidered given the thoroughgoing changes under way. We have switched from a Taylorist rationality based on Scientific Management, which claimed to fit production into a single viewpoint, to a dissemination of the sources of the directions to be followed and an overall destabilization of any attempt at rationalization, and as a consequence, to a looser sense of rationality even among engineers. But this does not at all benefit wage-earners. Often without bearings, they have to cope with instructions; but have a harder time doing so whenever their organization provides them with few tools for coping and whenever the instructions, or part of them, are contradictory.     

Labour and international accounting standards: A question of social justice

As the international guardian of social justice, the ILO is witnessing a global revolution in accounting, which has culminated in international accounting standards (IAS-IFRS). Previously, accounting measured the economy in relation to the capacities and responsibilities of workers and their employers. Today, the exact opposite is the case: the IAS-IFRS no longer measure work and enterprises, referring instead to the abstract concept of a cybernetic entity capable of constant restructuring, at the cost of unprecedented inequality. The author points to the incoherence of this system and to the need to restore the full carrying value of labour.     

Travail et normes comptables internationales: une question de justice sociale

En tant que garante internationale de la justice sociale, l'OIT se trouve confrontée à une révolution comptable mondiale, parachevée par les normes comptables internationales (IAS-IFRS). La comptabilité mesurait autrefois l'économie en rapport avec les capacités et les responsabilités des travailleurs et de ceux qui en disposent. C'est aujourd'hui l'exact opposé: les normes IAS-IFRS ont perdu le sens de la mesure du travail et de l'entreprise en se référant au concept abstrait d'une entité cybernétique capable d'incessantes réorganisations, au prix d'inégalités sans limites. L'auteur en dénonce les incohérences et démontre la nécessité de redonner au travail toute sa valeur comptable.     

COLLECTIVE VERSUS INDIVIDUAL SALE OF TELEVISION RIGHTS IN LEAGUE SPORTS

In many countries, the collective sale of television rights by sports leagues has been challenged by the antitrust authorities. In several cases, however, the leagues won in court, on the ground that sport is not a standard good. In this paper, we investigate the conditions under which the sale of television rights collectively by sports leagues, rather than individually by teams, is preferred from a social welfare point of view. We find that collective sale is socially preferable when (a) leagues are small and relatively homogeneous in terms of clout and (b) teams get little performance‐related revenues. (JEL: L10, L83)     

Promouvoir le pouvoir collectif des travailleurs dans les réseaux de production mondialisés: retour sur une occasion manquée

L'auteur s'interroge sur la capacité des ONG de renforcer le pouvoir collectif du travail au sein des réseaux de production mondialisés en utilisant leur pouvoir de pression sur les multinationales pour lancer des programmes d'élections de comités de travailleurs dans les usines. Sur la base d'une enquête empirique menée entre 2012 et 2019 dans le sud de la Chine, il montre que ces programmes ont permis de sensibiliser les travailleurs à l'action collective et de renforcer leur agentivité, mais que l'inégalité structurelle du système de production, l'absence de protection institutionnelle en faveur des représentants élus et le durcissement du régime ont empêché qu'ils perdurent.