We here address the question of how, for a theory of justice, a concern for the promotion of equality can be combined with a concern for making people as well off as possible. Leximin, which requires making the worst off position as well off as possible, is one way of combining a concern for making people’s lives go well with a special concern for those who are especially poorly off. Many egalitarians, however, reject its near-monomaniacal focus on the worst off (...) position (to the exclusion of other poorly off persons). In this paper, we explore the possibility of combining a weak kind of egalitarianism with a weak kind of efficiency requirement in a way that avoids leximin’s obsession with the worst off position. For example, one may consider solving all cases where efficiency is not at issue by choosing the alternative that is most equal according to the Gini-coefficient or some other well-established inequality measure. All standard inequality measures sometimes judge an alternative as more equal than another alternative even though the latter maximizes the benefits of the worst off. Thus it may seem like a promising way of avoiding the leximin approach within an egalitarian framework. Surprisingly, given certain generally accepted assumptions, this turns out to be impossible. The only possible way of combining weak egalitarianism with weak efficiency requires, we shall show, the rejection of a widely accepted—but perhaps dubious—contraction consistency condition on justice or the acceptance of some version of the leximin principle. (shrink)

L’ambiguïté qui existe entre l’interprétation du principe de différence par le maximin ou par le leximin est reconsidérée. Le maximin satisfait seulement le principe de Pareto-faible (x>y ssi chaque composante de x > la composante correspondante de y), tandis que le leximin satisfait le principe de Pareto-fort. À la différence du maximin, le leximin n’est pas représentable par des courbes d’indifférence. Dans la position originelle, le choix leximin l’emporterait sur le choix maximin ((2, 4) > (2,3)), qui semble plus proche (...) des formulations de Rawls. Plusieurs solutions de l’ambiguïté sont évoquées, notamment celle que propose Alain Boyer, qui consiste à distinguer le maximin et le principe de différence en précisant que le second est le premier couplé à une règle tierce, la minimisation de l’inégalité. Cette solution, qui s’appuie par ailleurs sur un raisonnement suspect de Rawls sur la possibilité de trouver un troisième vecteur en enlevant n au plus riche, ce qui semble présupposer, comme le fait Boyer, que l’existence du fisc redistributeur est reconnue comme une possibilité dans la position originelle, est jugée insuffisante, en ce qu’elle ne vaut que pour le cas de deux individus (même si Rawls parle de deux classes). On suggère d’utiliser, pour les cas où le nombre des individus ou des classes est >2, un critère tel que la variance. Mais cela s’avère toujours insuffisant, et non justifiable dans la position originelle, et l’on fait appel à la théorie de la décision proposée par Gilboa et Schmeidler (1989 ; 1997) pour suggérer, par exemple, que le choix juste à faire entre (1, 2, 3) et (0, 3, 3) se porte sur le second état (où le plus pauvre a moins que dans l’autre cas). Cette règle demeure cependant plus proche du maximin (généralisé) que du leximin, peut être rapprochée de ce que l’on appelle le prioritarisme, et peut donc conserver une coloration appréciablement rawlsienne. (shrink)

Egalitarians think that equality in the distribution of goods somehow matters. But what exactly is egalitarianism? This article argues for a characterization based on novel principles essentially involving risk. The characterization is then used to resolve disputed questions about egalitarianism. These include: the way egalitarianism is concerned with patterns, in particular its relationship to strong separability; the relationship between egalitarianism and other distributive views, such as concerns with fairness and with giving priority to the worse off; and the relationship between (...) egalitarianism and evaluative measurement. But egalitarianism is subject to a particularly severe form of the levelling-down objection, and is claimed to be false. (shrink)

According to the Maximin principle of distributive justice, one outcome is more just than another if the worst off individual in the first outcome is better off than the worst off individual in the second. This is often interpreted as a highly egalitarian principle, and, more specifically, as a highly egalitarian way of balancing a concern with equality against a concern with efficiency. But this interpretation faces a challenge: why should a concern with efficiency and equality lead us to a (...) concern only for the very worst off? Egalitarian proponents of Maximin tend to meet this challenge by showing that it possible to formally derive Maximin from surprisingly weak conditions relating efficiency and equality to justice. But in this paper, I argue that this reply fails. The issue is not that the proofs are invalid, but instead that every existing proof of Maximin transforms into an impossibility result as soon as we realize that any reasonable conception of equality must satisfy a certain formal property. The upshot is that even if it is possible to defend Maximin on other grounds, there is no known way to defend it on the grounds that it balances a concern with equality against a concern for efficiency. Further, more general implications of this result for egalitarian theories of distributive justice are also explored. (shrink)