Social Welfare Theory

“You have an architect and a ditch-digger working together on a construction project. Who gets paid more, and why?” Does a tendency toward abstraction and quantification, a pretense of objectivity, obscure the character, situation and bias from which all economic and political theorems stem? Following the principle that arguments neither arise nor persist in a vacuum, that they live and die by their context and character, we can describe two sorts of response corresponding to two rather timeless worldviews, along with (...) their accompanying “mind-sets”. The degree to which these views indicate differing “kinds” in human nature, beyond which there can be no further reduction to common ground, whether conversely they simply reflect historical and economic circumstance, or to what extent they are both, will be left to the reader. One might discern in the sensibilities described some alignment along traditional epithets of “bourgeois” vs. “working class”, but this is not necessarily so. I will therefore avoid overwrought labels, but admit that such family resemblances speak to a longer historical view and a persistent problematic. (shrink)

The article addresses critical discourses pertaining to triangulation methodology as a step forward in dealing with policy formulation, particularly at the Bank of Sierra Leone. Alternative prescriptive measure like critical discourse analysis have been proposed as a means to the cutting head development in bridging the gap between orthodox and heterodox views of economic sciences investigations.

We investigate the conflict between the ex ante and ex post criteria of social welfare in a new framework of individual and social decisions, which distinguishes between two sources of uncertainty, here interpreted as an objective and a subjective source respectively. This framework makes it possible to endow the individuals and society not only with ex ante and ex post preferences, as is usually done, but also with interim preferences of two kinds, and correspondingly, to introduce interim forms of the (...) Pareto principle. After characterizing the ex ante and ex post criteria, we present a first solution to their conflict that extends the former as much possible in the direction of the latter. Then, we present a second solution, which goes in the opposite direction, and is also maximally assertive. Both solutions translate the assumed Pareto conditions into weighted additive utility representations, and both attribute to the individuals common probability values on the objective source of uncertainty, and different probability values on the subjective source. We discuss these solutions in terms of two conceptual arguments, i.e., the by now classic spurious unanimity argument and a novel informational argument labelled complementary ignorance. The paper complies with the standard economic methodology of basing probability and utility representations on preference axioms, but for the sake of completeness, also considers a construal of objective uncertainty based on the assumption of an exogeneously given probability measure. JEL classification: D70; D81. (shrink)

This paper is about the role of interpersonal comparisons in Harsanyi's aggregation theorem. Harsanyi interpreted his theorem to show that a broadly utilitarian theory of distribution must be true even if there are no interpersonal comparisons of well-being. How is this possible? The orthodox view is that it is not. Some argue that the interpersonal comparability of well-being is hidden in Harsanyi's premises. Others argue that it is a surprising conclusion of Harsanyi's theorem, which is not presupposed by any one (...) of the premises. I argue instead that Harsanyi was right: his theorem and its weighted-utilitarian conclusion do not require interpersonal comparisons of well-being. The key to making sense of this possibility is to treat Harsanyi's weights as dimensional constants rather than dimensionless numbers. (shrink)

Matthew Adler's Measuring Social Welfare is an introduction to the social welfare function (SWF) methodology. This essay questions some ideas at the core of the SWF methodology having to do with the relation between the SWF and the measure of well-being. The facts about individual well-being do not single out a particular scale on which well-being must be measured. As with physical quantities, there are multiple scales that can be used to represent the same information about well-being; no one scale (...) is special. Like physical laws, the SWF and its ranking of distributions cannot depend on exactly which of these scales we use. Adler and other theorists in the SWF tradition have used this idea to derive highly restrictive constraints on the shape of the SWF. These constraints rule out seemingly plausible views about distributive justice and population ethics. I argue, however, that these constraints stem from a simple but instructive mistake. The SWF should not be applied to vectors of numbers such as 1 and 2, but rather to vectors of dimensioned quantities such as 1 util and 2 utils. This seemingly pedantic suggestion turns out to have far-reaching consequences. Unlike the orthodox SWF approach, treating welfare levels as dimensioned quantities lets us distinguish between real changes in well-being and mere changes in the unit of measurement. It does this without making the SWF depend on the scale on which welfare is measured, and in a way that avoids the restrictive constraints on the shape of the SWF. (shrink)

Abstract : This introduction to a special issue on "Normes and normativity" emphasizes the difficulties and challenges of distinguishing between a positive approach and a normative approach to norms in economics. Collective life is organized by norms, however the mere fact that they regularly influence behaviours does not imply their desirability. A strict description of norms may require consideration of ethical issues, which may be reported by different methods; choosing among norms however is an activity of a fundamentally normative nature, (...) which questions the legitimacy of decisions and evaluations. The very possibility of a demarcation between is and ought is not straightforward. In welfare economics in particular, the standard approaches that aim to avoid value judgements (welfarism) or to isolate them (axiomatics) can be problematic. To conclude, we present the four articles in the special issue meant to illustrate these issues regarding the nature, knowledge, value of norms and the positive-normative distinction. -/- Résumé : Cette introduction à un dossier thématique sur le thème "Normes et normativité" insiste sur les difficultés et les enjeux de la distinction entre les approches positives et normatives des normes en économie. La vie collective est organisée par des normes, mais qu’elles ordonnent les comportements dans les faits n’impliquent pas qu’elles soient désirables. Une stricte description des normes peut nécessiter de prendre en compte les questions éthiques, lesquelles peuvent être traduites par différentes méthodes ; choisir les normes en revanche est une activité de nature fondamentalement normative, qui interroge la légitimité des décisions et des évaluations. La possibilité même de démarcation entre positif et normatif ne va pas de soi : en particulier en économie du bien-être, les approches standards qui visent à éviter les jugements de valeur (le welfarisme) ou à les isoler (l’axiomatique) peuvent s’avérer problématiques. Pour conclure, nous présentons les quatre articles du numéro qui illustrent ces questionnements relatifs à la nature, la connaissance, la valeur des normes et la distinction entre normatif et positif. (shrink)

In this ambitious book composed of the author’s published articles, he develops practical and theoretical frameworks for social work in disability issues. He explores practical strategies for promoting social and economic participation of disabled people from the perspective of developmental social work, whilst examining the situation of their socioeconomic participation in rural Sri Lanka. Based on these theoretical and practical frameworks, together with policy analysis of community-based rehabilitation (CBR), the field research was undertaken collaboratively with local stakeholders in three districts. (...) The findings suggest that developmental social work practices, including an indigenous approach, social investment, and a multi-sectoral approach, could address the vicious cycle of inadequate education, poverty, and marginalisation. This book also explores the implications of these findings for policy and practice in other contexts. (shrink)

The meaning of welfare and the conditions for making it sustainable seemingly are related. This is at least a common idea in current discussions with the implicit assumption that conditions conducive to general welfare improvements also will secure certain sustainability objectives. In this chapter, we challenge this by way of a conceptual analysis of welfare, focused on its descriptive adequacy. Although there are different substantial theories about welfare, they all have to account for its subject-relative nature: individual welfare is whatever (...) is good for an individual from their own point of reference. Sustainability, on the other hand, is the normative requirement that economic growth and development must not be pursued to the detriment of geographically and temporally distant others. With these clarifications of relevant concepts, we provide a tentative argument against certain ‘win-win arguments’ of ‘sustainable welfare’. To respect the sustainability proviso means leaving some sources of welfare untapped, which, although it does not guarantee a decrease, neither assures an increase in welfare. We end by introducing the concept of social capital as an alternative way of accommodating the sustainability proviso. This would imply balancing individual sacrifices in welfare with mobilisation of social capital for the collective good of sustainability. (shrink)

An important objection to preference-satisfaction theories of well-being is that these theories cannot make sense of interpersonal comparisons of well-being. A tradition dating back to Harsanyi () attempts to respond to this objection by appeal to so-called extended preferences: very roughly, preferences over situations whose description includes agents’ preferences. This paper examines the prospects for defending the preference-satisfaction theory via this extended preferences program. We argue that making conceptual sense of extended preferences is less problematic than others have supposed, but (...) that even so extended preferences do not provide a promising way for the preference satisfaction theorist to make interpersonal well-being comparisons. Our main objection takes the form of a trilemma: depending on how the theory based on extended preferences is developed, either the result will be inconsistent with ordinary preference-satisfaction theory, or it will fail to recover sufficiently rich interpersonal well-being comparisons, or it will take on a number of other arguably odd and undesirable commitments. (shrink)

The Pareto principle states that if the members of society express the same preference judgment between two options, this judgment is compelling for society. A building block of normative economics and social choice theory, and often borrowed by contemporary political philosophy, the principle has rarely been subjected to philosophical criticism. The paper objects to it on the ground that it indifferently applies to those cases in which the individuals agree on both their expressed preferences and their reasons for entertaining them, (...) and those cases in which they agree on their expressed preferences, while differing on their reasons. The latter are cases of "spurious unanimity", and it is normatively inappropriate, or so the paper argues, to defend unanimity preservation at the social level for them, so the Pareto principle is formulated much too broadly. The objection seems especially powerful when the principle is applied in an ex ante context of uncertainty, in which individuals can disagree on both their probabilities and utilities, and nonetheless agree on their preferences over prospects. (shrink)

The social welfare functional approach to social choice theory fails to distinguish a genuine change in individual well-beings from a merely representational change due to the use of different measurement scales. A generalization of the concept of a social welfare functional is introduced that explicitly takes account of the scales that are used to measure well-beings so as to distinguish between these two kinds of changes. This generalization of the standard theoretical framework results in a more satisfactory formulation of welfarism, (...) the doctrine that social alternatives are evaluated and socially ranked solely in terms of the well-beings of the relevant individuals. This scale-dependent form of welfarism is axiomatized using this framework. The implications of this approach for characterizing classes of social welfare orderings are also considered. (shrink)

Numerous philosophers allege that the "general theory of second best" (Lipsey and Lancaster, 1956) poses a challenge to the Target View, which asserts that real world reform efforts should aim to establish arrangements that satisfy the constitutive features of ideal just states of affairs. I demonstrate two claims that are relevant in this context. First, I show that the theory of second best fails to present a compelling challenge to the Target View in general. But, second, the theory of second (...) best requires ideal theorists to undertake certain kinds of causal and comparative analyses that are typically thought to lie beyond the borders of conventional ideal theory. (shrink)

Child labor is often condemned as a form of exploitation. I explore how the notion of exploitation, as used in everyday language, can be made precise in economic models of child labor. Exploitation is defined relative to a specific social welfare function. I first show that under the standard dynastic social welfare function, which is commonly applied to intergenerational models, child labor is never exploitative. In contrast, under an inclusive welfare function, which places additional weight on the welfare of children, (...) child labor is always exploitative. Neither welfare function captures the more gradual distinctions that common usage of the term exploitation allows. I resolve this conflict by introducing a welfare function with minimum altruism, in which child labor in a given family is judged relative to a specific social standard. Under this criterion, child labor is exploitative only in families where the parent displays insufficient altruism towards the child. I argue that this welfare function best captures the conventional concept of exploitation and has useful properties for informing political choices regarding child labor. (shrink)

Abstract: This paper examines Mark Blaug's position on the normative character of Paretian welfare economics: in general, and specifically with respect to his debate with Pieter Hennipman over this question during the 1990s. The paper also clarifies some of the confusions that emerged within the context of this debate, and closes by providing some additional arguments supporting Blaug's position that he himself did not provide.

By introducing elements of phenomenological philosophy to the analysis of human needs in economics; from Sartrean postulates as well as the nature and essence of individual’s needs, has been revealed a theorethical framework that serves to ponder human being’s existential behavior by means of their phenomenologic social choices and welfare. Defining a planning agent under strong assumptions of rationality and projective efficacious capabilities, the Arrow’s theorem has been proved for the economic agent aware of its finitude in this world.

This paper explores the implications of libertarianism for welfare policy. There are two central arguments. First, the paper argues that if one adopts a libertarian framework, it makes most sense to be a Lockean right-libertarian. Second, the paper argues that this form of libertarianism leads to the endorsement of a fairly extensive set of redistributive welfare programs. Specifically, the paper argues that Lockean right-libertarians are committed to endorsing welfare programs under which the receipt of benefits is conditional on meeting a (...) work requirement, and also endorsing some form of publicly funded jobs of last resort for potential welfare recipients. (shrink)

Capitalismo e riconoscimento" presenta, in cinque saggi per la prima volta raccolti insieme e tradotti in italiano, una densa e pregnante analisi di taluni cruciali processi socio-strutturali, morali e normativi delle società capitalistiche contemporanee dalla prospettiva delle dinamiche del reciproco riconoscimento e del disrispetto concernenti la sfera del lavoro. Particolare attenzione è dedicata ai paradossali rovesciamenti delle istanze di autorealizzazione, autonomia e responsabilità personale registratisi negli ultimi decenni nel quadro di un mercato del lavoro sempre più deregolato.

The paper aims to single out and clarify some causal connections between theconcomitant growth of depressive phenomena, not only in the strict clinicalsense, and the establishment of the new capitalist model, which has taken place in Western countries from the early seventies until today. As well as onthe mechanism of labour market flexibility, the essay dwells in particular onthe paradoxical dynamics of the ethical and moral ideals of the newideological configuration. Finally, the paper will also use the category of hegemony (...) to offer some theoretical instruments directed at reactivating theemancipatory potentials frustrated by social suffering of a depressive and regressive nature. Il saggio mira a individuare e delucidare alcuni nessi causali tra il concomitante incremento dei fenomeni depressivi, non solo in senso strettamente clinico, e l’affermazione del nuovo modello capitalistico avvenuto nei paesi occidentali dai primi anni settanta ad oggi. Oltre che sul meccanismo della flessibilità del mercato del lavoro, si insiste in particolare sulle dinamiche paradossali delle istanze etiche e morali della nuova configurazione ideologica. Ricorrendo anche alla categoria di egemonia, vengono da ultimo approntati degli strumenti teorici finalizzati a riattivare i potenziali emancipativi frustrati nella sofferenza sociale di natura depressiva e regressiva. (shrink)

'Communities of practice', like 'social capital' and 'networks', is an idea that has been widely adopted in the social sciences, particularly in discussion of innovation and creativity. This book evaluates the concept and its uses, and will be an essential guide for students and researchers.

This extended editorial takes stock of the first volume of the journal Ethics and Social Welfare, offering an overview of the types of contributions in the first four issues and suggesting future themes. A critical summary is given of the contributions so far, which have included: moral philosophical theorizing; analysis of key ethical concepts; exploration of contested areas of policy and practice; empirical studies of living conditions, perceptions, attitudes and professional interventions; accounts of ethical issues in practice; ethical issues in (...) research; and models of professional ethical decision making. Themes identified for future consideration include: service user perspectives on aspects of social welfare practice; development of practice-based ethical theories for the social welfare professions; ideas about teaching professional and practical ethics; ethical issues in managing and distributing resources; critical analysis of the ethical implications of public policies; further contributions offering moral, political and social philosophical perspectives on issues of social justice, cultural diversity, global and local policies for tackling environmental and humanitarian crises. (shrink)

The economics of happiness is an influential research programme, the aim of which is to change welfare economics radically. In this paper I set out to show that its foundations are unreliable. I shall maintain two basic theses: (a) the economics of happiness shows inconsistencies with the first person standpoint, contrary claims on the part of the economists of happiness notwithstanding, and (b) happiness is a dubious concept if it is understood as the goal of welfare policies. These two theses (...) are closely related and lead to a third thesis: (c) happiness should be replaced by autonomy as the fundamental goal of welfare economics. To defend my claims I shall show that a hedonic approach to happiness leads to an awkward trilemma. Furthermore, I shall clarify the meaning of and , along with their conceptual relationships. (shrink)

How is a person's freedom related to his or her preferences? Liberal theorists of negative freedom have generally taken the view that the desire of a person to do or not do something is irrelevant to the question of whether he is free to do it. Supporters of the “pure negative” conception of freedom have advocated this view in its starkest form: they maintain that a person is unfree to Φ if and only if he is prevented from Φ-ing by (...) the conduct or dispositions of some other person. This definition of freedom is value-neutral in the sense that no reference is made to preferences over options or indeed to any other indicators of the values of options, either in the characterization of “Φ-ing” itself or in the characterization of the way in which Φ-ing can be constrained. (shrink)

discounting the future' is one on which philosophers and economists have divergent professional views. There is a lot of talking at cross-purposes across the disciplinary divide here; but there is a fair bit of confusion (I think) within disciplines as well. My aim here is essentially clarificatory. I draw several distinctions that I see as significant: • between inter-temporal and intergenerational questions • between price (discount rate) and quantity (inter-temporal and intergenerational allocations) as the ethically relevant magnitude, and • between (...) price change and preference change as the primary instrument of change. I show that discounting does not violate the principle of inter-temporal and intergenerational neutrality, but I also cast some doubt on whether making adequate allowance for future generations has really been the problem that economists and philosophers seem to have taken it to be. Key Words: discount rates • intergenerational justice • future generations • `feasibility' analysis. (shrink)

John Broome's ground-breaking Weighing Lives makes precise, and supplies arguments previously lacking for, several views which for centuries have been central to the utilitarian tradition. In gratitude for his enlightening arguments, I shall repay him in this paper by showing how he could make things easier for himself by denying neutrality and accepting hedonism.

Upon learning that John C. Harsanyi was awarded the Bank of Sweden Prize in Economic Sciences in Memory of Alfred Nobel, in 1994, for his pioneering work in game theory, few economists probably questioned the appropriateness of that choice. The Budapest-born social scientist had already been recognized as a first-rank contributor to non-cooperative game theory for some time. However, as many readers of this journal will be aware, Harsanyi first contributed to welfare economics, not game theory. More importantly, he was (...) philosophically minded and accordingly has been “acknowledged as the most influential philosopher in economics”. 1 This is of some significance since, before Harsanyi became acquainted with economics around 1950, his main interest was philosophy and, to a lesser extent, sociology and psychology. Rather than an economist with philosophical leanings, Harsanyi was actually a philosopher turned economist. (shrink)

"Happiness research" studies the correlates of subjective well-being, generally through survey methods. A number of psychologists and social scientists have drawn upon this work recently to argue that the American model of relatively limited government and a dynamic market economy corrodes happiness, whereas Western European and Scandinavian-style social democracies promote it. This paper argues that happiness research in fact poses no threat to the relatively libertarian ideals embodied in the U.S. socioeconomic system. Happiness research is seriously hampered by confusion and (...) disagreement about the definition of its subject as well as the limitations inherent in current measurement techniques. In its present state happiness research cannot be relied on as an authoritative source for empirical information about happiness, which, in any case, is not a simple empirical phenomenon but a cultural and historical moving target. Yet, even if we accept the data of happiness research at face value, few of the alleged redistributive policy implications actually follow from the evidence. The data show that neither higher rates of government redistribution nor lower levels of income inequality make us happier, whereas high levels of economic freedom and high average incomes are among the strongest correlates of subjective well-being. Even if we table the damning charges of questionable science and bad moral philosophy, the American model still comes off a glowing success in terms of happiness. (shrink)

Ethical theories grounded in utilitarianism suggest that social welfare is improved when agents seek to maximize others' welfare in addition to their own (i.e., are altruistic). However, I use a simple game-theoretic model to demonstrate two shortcomings of this argument. First, altruistic preferences can generate coordination problems where none exist for selfish agents. Second, when agents care somewhat about others' utility but weight their own more highly, total social welfare may be lower than with selfish agents even in the absence (...) of coordination problems. (Published Online April 18 2006) Correspondence:c1 105 St. George St., Toronto, Ontario M5S 3E6; kenneth.corts@rotman.utoronto.ca. Footnotes1 I thank Adam Brandenburger and Mara Lederman for helpful comments. (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)

Most accounts of welfare aggregation in the tradition of Arrow's and Sen's social-choice-theoretic frameworks represent the welfare of an individual in terms of a single welfare ordering or a single scalar-valued welfare function. I develop a multidimensional generalization of Arrow's and Sen's frameworks, representing individual welfare in terms of multiple personal welfare functions, corresponding to multiple 'dimensions' of welfare. I show that, as in the one-dimensional case, the existence of attractive aggregation procedures depends on certain informational assumptions, specifically about the (...) measurability of welfare and its comparability not only across individuals but also across dimensions. I state several impossibility and possibility results. Under Arrow-type conditions, insufficient comparability across individuals leads to dictatorship of a single individual, while insufficient comparability across dimensions leads to dominance of a single dimension. Given sufficient comparability both across individuals and across dimensions, a range of possibilities emerges. I discuss the substantive implications of the results. (shrink)

This is a major contribution to the theoretical and comparative literature on welfare states, written by some of the most original and challenging feminist ...

The concept of preference dominates economic theory today. It performs a triple duty for economists, grounding their theories of individual behavior, welfare, and rationality. Microeconomic theory assumes that individuals act so as to maximize their utility – that is, to maximize the degree to which their preferences are satisfied. Welfare economics defines individual welfare in terms of preference satisfaction or utility, and social welfare as a function of individual preferences. Finally, economists assume that the rational act is the act that (...) maximally satisfies an individual's preferences. The habit of framing problems in terms of the concept of preference is now so entrenched that economists rarely entertain alternatives. (shrink)

Since Sen's insightful analysis of Arrow's Impossibility Theorem (Sen, 1970/1979), Arrow's theorem is often interpreted as a consequence of the exclusion of interpersonal information from Arrow's framework. Interpersonal comparability of either welfare levels or welfare units is known to be sufficient for circumventing Arrow's impossibility result (e.g. Sen, 1970/1979, 1982; Roberts, 1980; d'Aspremont, 1985). But it is less well known whether one of these types of comparability is also necessary or whether Arrow's conditions can already be satisfied in much narrower (...) informational frameworks. This note explores such a framework: the assumption of (ONC+0), ordinal measurability of welfare with the additional measurability of a 'zero-line', is shown to point towards new, albeit limited, escape-routes from Arrow's theorem. Some existence and classification results are established, using the condition that social orderings be transitive as well as the condition that social orderings be quasi-transitive. (shrink)

Many economic problems are also ethical problems: should we value economic equality? how much should we care about preserving the environment? how should medical resources be divided between saving life and enhancing life? This book examines some of the practical issues that lie between economics and ethics, and shows how utility theory can contribute to ethics. John Broome's work has, unusually, combined sophisticated economic and philosophical expertise, and Ethics Out of Economics brings together some of his most important essays, augmented (...) with an updated introduction. The first group of essays deals with the relation between preference and value, the second with various questions about the formal structure of good, and the concluding section with the value of life. This work is of interest and importance for both economists and philosophers, and shows powerfully how economic methods can contribute to moral philosophy. (shrink)

This paper is about the relevance, to the definition of freedom, of values or goods other than freedom. In this respect,its subject matter is not at all new. However, I do believe that new light can be thrown on the nature of this relationship by paying more attention to another relationship – one which exists within the concept of freedom itself. There are two senses in which we can be said to possess freedom. Firstly, there is the sense in which (...) we can be said to be free to do a certain particular thing. Secondly,there is the sense in which we can be said to possess a certain ‘amount’,‘degree’ or ‘quantity’ of freedom, in some overall sense. 1 I believe that most recent accounts of the relationship between freedom and other goods are inconsistent, because they see those other goods as affecting the truth value of claims about freedom in the second sense, but not in the first. (shrink)

It is customarily assumed that welfare-state thinking can only appear as a product of the sharpening conflict between revolutionary socialists and the defenders of the status quo; the case of Tom Paine proves otherwise. Although he defended private enterprise (to the exclusion of large landed property), he developed a forgotten early version of a comprehensive system of public welfare in the second part of his The Rights of Man and in his Agrarian Justice, where he argued that the new revolutionary (...) democratic government based on representation and universal suffrage has the duty and the means not only of relieving poverty but of preventing it by a system of universal allowances for marriage, childbirth, the raising of children, basic education, old age pensions and temporary housing and employment for the unemployed of the metropolis. This, he said, should be financed by a progressive inheritance tax levied especially on landed estates. (shrink)

How may we best understand the motivational structure that stands behind individuals' acts of voting? In “The Impartial Spectator Goes to Washington” we suggested that expressive concerns swamp narrowly consequential motivations, in contradistinction to normal market transactions in which the priority is reversed. A striking consequence of this fact is that individuals will be led to vote for outcomes that they would reject were they in a position to act decisively. In this regard we found the moral psychology Adam Smith (...) develops in The Theory of Moral Sentiments remarkably fecund in suggesting alternatives to what we call the standard theory of electoral behavior. (shrink)

As it is known, there is no rule satisfying Additivity in the complete domain of bankruptcy problems. This paper proposes a notion of partial Additivity in this context, to be called µ-additivity. We find that µ-additivity, together with two quite compelling axioms, anonymity and continuity, identify the Minimal Overlap rule, introduced by Neill (1982).

A rejoinder to “Escape from Lester: A Reply from a so-called ‘Philistine’” (Libertarian Alliance website). For clarity: Escape from Leviathan (EFL/book), the Brooks review (review), the Lester response (response), the Brooks reply to the response (reply).

How should we as a society value changes in population size? The question may be crucial when evaluating global warming scenarios. I defend the intuition of neutrality, which answers a part of the question. It states that – other things being equal – it is ethically irrelevant whether or not additional people are added to a population. The argument against neutrality criticizes the intuition of neutrality as inconsistent. The contribution of this thesis is twofold: First, the framework of welfare economics, (...) the intuition of neutrality, and the argument against neutrality will be presented with formal rigour. Second, the formalizations will be used for a critical analysis of the argument against neutrality. Three ethical frameworks will be assumed – the difference principle, average utilitarianism, and contractarianism –, and their relation to the explicit and hidden premises of the argument against neutrality will be investigated. The result will be that all three frameworks are compatible with the intuition of neutrality (or slightly modified versions); so the argument against neutrality does not hold within them. (shrink)

Two essential intuitions about the concept of multidimensional inequality have been highlighted in the emerging body of literature on this subject: first, multidimensional inequality should be a function of the uniform inequality of a multivariate distribution of goods or attributes across people (Kolm, 1977); and, second, it should also be a function of the cross-correlation between distributions of goods or attributes in different dimensions (Atkinson and Bourguignon, 1982; Walzer, 1983). While the first intuition has played a major role in the (...) design of fully-fledged multidimensional inequality indices, the second one has only recently received attention (Tsui, 1999); and, so far, multidimensional generalized entropy measures are the only inequality measures known to respect both intuitions. The present paper proposes a general method of designing a wider range of multidimensional inequality indices that also respect both intuitions, and illustrates this method by defining two classes of such indices: a generalization of the Gini coefficient, and a generalization of Atkinson's onedimensional measure of inequality. (shrink)