John Broome; V*—Fairness, Proceedings of the Aristotelian Society, Volume 91, Issue 1, 1 June 1991, Pages 87–102, https://doi.org/10.1093/aristotelian/91.1.87.

The Interpersonal Addition Theorem, due to John Broome, states that, given certain seemingly innocuous assumptions, the overall utility of an uncertain prospect can be represented as the sum of its individual utilities. Given ‘Bernoulli's hypothesis’ according to which individual utility coincides with individual welfare, this result appears to be incompatible with the Priority View. On that view, due to Derek Parfit, the benefits to the worse off should count for more, in the overall evaluation, than the comparable benefits to the (...) better off. Pace Broome, the paper argues that prioritarians should meet this challenge not by denying Bernoulli's hypothesis, but by rejecting one of the basic assumptions behind the addition theorem: that a prospect is better overall if it is better for everyone. This conclusion follows if one interprets the priority weights that are imposed by prioritarians as relevant only to moral, but not to prudential, evaluations of prospects. (shrink)

Inequality is intrinsically bad when and because it is unfair. It follows that the ideal of equality is not necessarily realised by a distribution of resources which is envy-free prior to the resolution of risks against which people have an equal opportunity to insure. Even if the upshot of such an ex ante envyfree distribution is just, it is not necessarily fair.

According to the priority view, or prioritarianism, it matters more to benefit people the worse off they are. But how exactly should the priority view be defined? This article argues for a highly general characterization which essentially involves risk, but makes no use of evaluative measurements or the expected utility axioms. A representation theorem is provided, and when further assumptions are added, common accounts of the priority view are recovered. A defense of the key idea behind the priority view, the (...) priority principle, is provided. But it is argued that the priority view fails on both ethical and conceptual grounds. (shrink)

In this volume a diverse group of economists, philosophers, political scientists, and psychologists address the problems, principles, and practices involved in comparing the well-being of different individuals. A series of questions lie at the heart of this investigation: What is the relevant concept of well-being for the purposes of comparison? How could the comparisons be carried out for policy purposes? How are such comparisons made now? How do the difficulties involved in these comparisons affect the status of utilitarian theories? This (...) collection constitutes the most advanced and comprehensive treatment of one of the cardinal issues in social theory. (shrink)

In this book Larry Temkin examines the concepts of equality and inequality, and addresses one particular question in depth: how can we judge between different sorts of inequality? When is one inequality worse than another? Temkin shows that there are many different factors underlying and influencing our egalitarian judgments and that the notion of inequality is surprisingly complex. He looks at inequality as applied to individuals and to groups, and at the standard measures of inequality employed by economists and others, (...) and considers whether inequality matters more in a poor society than a rich one. The arguments of non-egalitarians are also examined. Temkin's book presents a new way of thinking about equality and inequality which challenges the assumptions of philosophers, welfare economists, and others concerned with these notions on a practical as well as a theoretical level. (shrink)

:This paper questions the distinction between egalitarianism and prioritarianism, arguing that it is important to separate the reasons for particular social preferences from the contents of these preferences, that it is possible to like equality and separability simultaneously, and that some egalitarians and prioritarians may therefore share the same social preferences. The case of risky prospects, for which Broome has proposed an interesting example meant to show that egalitarians and prioritarians cannot share the same preferences, is scrutinized. The levelling down (...) objection is also examined. (shrink)

One of the central debates within contemporary Anglo-American political philosophy concerns how to formulate an egalitarian theory of distributive justice which gives coherent expression to egalitarian convictions and withstands the most powerful anti-egalitarian objections. This book brings together many of the key contributions to that debate by some of the world’s leading political philosophers: Richard Arneson, G.A. Cohen, Ronald Dworkin, Thomas Nagel, Derek Parfit, John Rawls, T.M. Scanlon, and Larry Temkin.

This book provides an introduction to measurement theory for non-specialists and puts measurement in the social and behavioural sciences on a firm mathematical foundation. Results are applied to such topics as measurement of utility, psychophysical scaling and decision-making about pollution, energy, transportation and health. The results and questions presented should be of interest to both students and practising mathematicians since the author sets forth an area of mathematics unfamiliar to most mathematicians, but which has many potentially significant applications.

We argue that there is a marked shift in the moral weight of an increment in a person's well-being when one moves from a case involving only intra-personal trade-offs to a case involving only inter-personal trads-offs. This shift, we propose, is required by the separateness of persons. We also argue that the Priority View put forward by Parfit cannot account for such a shift. We also outline two alternative views, an egalitarian view and a claims-based view, that can account for (...) this shift. (shrink)

In this volume a diverse group of economists, philosophers, political scientists, and psychologists address the problems, principles, and practices involved in comparing the well-being of different individuals. A series of questions lie at the heart of this investigation: What is the relevant concept of well-being for the purposes of comparison? How could the comparisons be carried out for policy purposes? How are such comparisons made now? How do the difficulties involved in these comparisons affect the status of utilitarian theories? This (...) collection constitutes the most advanced and comprehensive treatment of one of the cardinal issues in social theory. (shrink)

The most influential egalitarian perspective is undoubtedly Rawls's (1971, 1993), which assigns absolute priority to the least advantaged in society (the difference principle). However, many have claimed that even though an egalitarian perspective should imply some priority to the worst off, the Rawlsian perspective is too demanding. One response to this criticism is to argue in favour of an egalitarian perspective that never assigns absolute priority to the worse off, but which still includes limited priority to those members of society (...) in distributive conflicts. A different response to the demandingness criticism is to agree that the worse off should not always be given absolute priority, but to argue that there are some cases where they should be. In this paper, we elaborate on this view, and look at the possibility of deviating from the leximin approach within this category of egalitarian principles. (shrink)

Temkin presents a new way of thinking about equality and inequality that challenges the assumptions of philosophers, welfare economists, and others, and has significant implications on both a practical and theoretical level.

[ Susan Hurley] I argue that the aim to neutralize the influence of luck on distribution cannot provide a basis for egalitarianism: it can neither specify nor justify an egalitarian distribution. Luck and responsibility can play a role in determining what justice requires to be redistributed, but from this we cannot derive how to distribute: we cannot derive a pattern of distribution from the 'currency' of distributive justice. I argue that the contrary view faces a dilemma, according to whether it (...) understands luck in interpersonal or counterfactual terms. /// [Richard J. Arneson] Does it make sense to hold that, if it is bad that some people are worse off than others, it is worse if those who are worse off come to be so through sheer bad luck that it is beyond their power to control? In her contribution to this symposium, Susan Hurley cautions against a closely related fallacy: from the fact that people have come to an unequal condition through unchosen bad luck, it does not follow that, if we aim to undo the influence of unchosen luck, we ought to institute equality of condition. Forswearing the fallacy that Hurley analyses is compatible with answering the question affirmatively, and more generally with holding that principles of distributive justice should be sensitive to the distinction between chosen and unchosen bad luck. This essay explores how this might be done. (shrink)

In his Tanner Lecture of 1979 called ‘Equality of What?’ Amartya Sen asked what metric egalitarians should use to establish the extent to which their ideal is realized in a given society. What aspect of a person’s condition should count in a fundamental way for egalitarians, and not merely as cause of or evidence of or proxy for what they regard as fundamental?

Challenging, with several powerful arguments, some of our deepest beliefs about rationality, morality, and personal identity, Parfit claims that we have a false view about our own nature. It is often rational to act against our own best interersts, he argues, and most of us have moral views that are self-defeating. We often act wrongly, although we know there will be no one with serious grounds for complaint, and when we consider future generations it is very hard to avoid conclusions (...) that most of us will find very disturbing. (shrink)

Since it appeared in 1971, John Rawls's A Theory of Justice has become a classic. The author has now revised the original edition to clear up a number of difficulties he and others have found in the original book. Rawls aims to express an essential part of the common core of the democratic tradition--justice as fairness--and to provide an alternative to utilitarianism, which had dominated the Anglo-Saxon tradition of political thought since the nineteenth century. Rawls substitutes the ideal of the (...) social contract as a more satisfactory account of the basic rights and liberties of citizens as free and equal persons. "Each person," writes Rawls, "possesses an inviolability founded on justice that even the welfare of society as a whole cannot override." Advancing the ideas of Rousseau, Kant, Emerson, and Lincoln, Rawls's theory is as powerful today as it was when first published. (shrink)

It is difficult for prioritarians to explain the degree to which justice requires redress for misfortune in a way that avoids imposing unreasonably high costs on more advantaged individuals whilst also economising on intuitionist appeals to judgment. An appeal to hypothetical insurance may be able to solve the problems of cost and judgment more successfully, and can also be defended from critics who claim that resource egalitarianism is best understood to favour the ex post elimination of envy over individual endowments.

It is common to define egalitarianism in terms of an inequality ordering, which is supposed to have some weight in overall evaluations of outcomes. Egalitarianism, thus defined, implies that levelling down makes the outcome better in respect of reducing inequality; however, the levelling down objection claims there can be nothing good about levelling down. The priority view, on the other hand, does not have this implication. This paper challenges the common view. The standard definition of egalitarianism implicitly assumes a context. (...) Once this context is made clear, it is easily seen that egalitarianism could be defined alternatively in terms of valuing a benefit to a person inversely to how well off he is relative to others. The levelling down objection does not follow from this definition. Moreover, the common definition does not separate egalitarian orderings from prioritarian ones. It is useful to do this by requiring that on egalitarianism, additively separable orderings should be excluded. But this requirement is stated as a condition on the alternative definition of egalitarianism, from which the levelling down objection does not follow. (shrink)

Based on the 1972 Radcliffe Lectures, this book presents a systematic treatment of the conceptual framework as well as the practical problems of measurement of inequality.

Philosophers often assume that we can somehow quantitatively measure how good things are for people. But what does such talk mean? And what are the measures? In *Weighing Goods* John Broome offers one treatment of these questions. In his later *Weighing Lives* he offers a different treatment. This article discusses both positions but advocates a third. But while the three positions disagree about matters of meaning, they agree about the form of the measures. Roughly speaking, they are such that the (...) goodness of a lottery for an individual is equal to its expected goodness for her. (shrink)

Over the years, egalitarian philosophers have made some challenging claims about the nature of egalitarianism. They have argued that egalitarian reasoning should make us reject the Pareto principle; that the Rawlsian leximin principle is not an egalitarian idea; that the Pigou–Dalton principle needs modification; that the intersection approach faces deep problems; that the numbers should not count within an egalitarian framework, and that egalitarianism should make us reject the property of transitivity in normative reasoning. In this paper, taking the recent (...) philosophical debate on equality versus priority as the starting point, I review these claims from the point of view of an economist. (shrink)

The priority view has become very popular in moral philosophy, but there is a serious question about how it should be formalized. The most natural formalization leads to ex post prioritarianism, which results from adding expected utility theory to the main ideas of the priority view. But ex post prioritarianism entails a claim which is too implausible for it to be a serious competitor to utilitarianism. In fact, ex post prioritarianism was probably never a genuine alternative to utilitarianism in the (...) first place. By contrast, ex ante prioritarianism is defensible. But its motivation is very different from the usual rationales offered for the priority view. Given the untenability of ex post prioritarianism, it is more natural for most friends of the priority view to revert to utilitarianism. (shrink)

John Broome; V*—Fairness, Proceedings of the Aristotelian Society, Volume 91, Issue 1, 1 June 1991, Pages 87–102, https://doi.org/10.1093/aristotelian/91.1.87.

:Both egalitarianism and prioritarianism give value to equality. Prioritarianism has an additively separable value function whereas egalitarianism does not. I show that in some cases prioritarianism and egalitarianism necessarily have different implications: I describe two alternatives G and H such that egalitarianism necessarily implies G is better than H whereas prioritarianism necessarily implies G and H are equally good. I also raise a doubt about the intelligibility of prioritarianism.

Egalitarian theories of justice hold that equality should be promoted. Typically, perfect equality will not be achievable, and it will be necessary to determine which of various unequal distributions is the most equal. All plausible conceptions of equality hold that, where perfect equality does not obtain, (1) any benefit (no matter how small) to a worst-off person that leaves him/her still a worst-off person has priority (with respect to equality promotion) over any benefit (no matter how large) to a best-off (...) person, and (2) any benefit to a worse-off person (even if not a worst-off person) has priority over a benefit of the same size to a better off person (even if not a best-off person). Beyond that there is much disagreement. (shrink)

Does it make sense to hold that, if it is bad that some people are worse off than others, it is worse if those who are worse off come to be so through sheer bad luck that it is beyond their power to control? In her contribution to this symposium, Susan Hurley cautions against a closely related fallacy: from the fact that people have come to an unequal condition through unchosen bad luck, it does not follow that, if we aim (...) to undo the influence of unchosen luck, we ought to institute equality of condition. Forswearing the fallacy that Hurley analyses is compatible with answering the question affirmatively, and more generally with holding that principles of distributive justice should be sensitive to the distinction between chosen and unchosen bad luck. This essay explores how this might be done. (shrink)

A natural formalization of the priority view is presented which results from adding expected utility theory to the main ideas of the priority view. The result is ex post prioritarianism. But ex post prioritarianism entails that in a world containing just one person, it is sometimes better for that person to do what is strictly worse for herself. This claim may appear to be implausible. But the deepest objection to ex post prioritarianism has to do with meaning: ex post prioritarianism (...) is not a genuine alternative to utilitarianism in the first place. By contrast, ex ante prioritarianism is defensible. But its motivation is very different from the usual rationales offered for the priority view. Given their hostility to egalitarianism, most supporters of the priority view have not provided reasons to reject utilitarianism. (shrink)

This paper takes a simple, informal suggestion by Broome and another more explicit suggestion by Kamm for how to deal with asymmetric claims and shows how they can be interpreted to be consistent with two different social welfare functions: Sum-of-square-roots of individual utilities, and product of utilities. These functions are then used to analyze more complicated situations but I show that the first yields more intuitive results, and a better compromise of efficiency and justice, than the other. (Published Online July (...) 11 2006). (shrink)

Recent developments in Particle Physics and Cosmology lead one naturally to the existence of many universes. Although direct confirmation of other universes is difficult, it is not impossible. This paper is an attempt at a new theory for multiple universes. Time started long before the big bang that started our universe. In fact our universe is just one of many that exist in a larger area of space. So the big bang that began our universe is not the beginning of (...) time, but it was just the start of our universe. The idea of t = 0, goes back long before the creation of our universe. Time has been around for an infinite period. Time is not just continuing in our universe, but time is continuing in the area of space where our universe began. Our universe is not as old as time, in the larger area of space that was our universe’s origin, time is older than we can understand. The limit of time is infinite, time started zillions, and zillions of years ago. Many others universes are much older than our universe. This larger area of space contains many other universes. The number of universes is infinite, so some universes are far older than our universe. These ultimate areas of space were our universe started, is still creating new universes. Many big bangs have occurred in the past, and many big bangs will occur in the future. Big bangs are not something that happens just once or twice. Many different universes exist; in this larger area of space we can call the ‘Total universe’. In the ‘Total Universe’ energy is not conserved, and entropy tends to remain constant. (shrink)

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)

In addition to addressing the usual topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming ...

This paper re-examines the welfare economics of risk. It singles out a class of criteria, the “expected equally-distributed equivalent”, as the unique class which avoids serious drawbacks of existing approaches. Such criteria behave like ex-post criteria when the final statistical distribution of wellbeing is known ex ante, and like ex-ante criteria when risk generates no inequality. The paper also provides a new result on the tension between inequality aversion and respect of individual ex ante preferences, in the vein of Harsanyi’s (...) aggregation theorem. (shrink)

Parfit advertised the priority view as a new and fundamental theory in the ethics of distribution. He never discusses risk, and many writers follow suit when discussing the priority view. This article formalizes two popular arguments for a commonly accepted risk-free definition of the priority view. One is based on a direct attempt to define the priority view, the other is based on a contrast with utilitarianism and egalitarianism. But neither argument succeeds, and more generally, it is not possible to (...) make sense of the priority view in a risk-free framework. The article pays particular attention to the proper role of evaluative measurements in theorizing about the ethics of distribution. Despite appearances, approaching the priority view in terms of risk from the outset is argued to be quite natural. (shrink)

Selection of articles by leading international philosophers: Roger Crisp, Fred Feldman, Göran Hermerén, Derek Parfit, Wlodek Rabinowicz, Michael Smith, Paul Snowdon, Galen Strawson, Larry S. Temkin, Torbjörn Tännsjö, and Michael J. Zimmerman. Published in honour of Ingmar Persson on his fiftieth birthday.