In the literature on the so-called numbers problem, some authors have recently argued that the individualist lottery (IL) avoids the flaws of the proportional lottery. This article first presents two recent defenses of the IL, and then argues that both are implausible if we focus, as we should, strictly on their non-consequentialist aspects. This conclusion holds even if we take account of the fact that the IL is arguably that solution to the numbers problem which best meets the marginal difference (...) criterion. The upshot is that non-consequentialists should toss a coin rather than spin a wheel in conflict cases (if and when they must do either). (shrink)

In the recent literature across philosophy, medicine and public health policy, many influential arguments have been put forward to support the use of randomization procedures to allocate scarce life-saving resources. In this paper, I provide a systematic categorization and a critical evaluation of these arguments. I shall argue that those arguments justify using RAND to allocate SLSR in fewer cases than their proponents maintain and that the relevant decision-makers should typically allocate SLSR directly to the individuals with the strongest claims (...) to these resources rather than use RAND to allocate such resources. (shrink)

The paper considers a hierarchical theory that combines concern for two values: individual well-being – as a fundamental, first-order value – and (distributive) fairness – as a high-order value that its exclusive function is to complete the value of individual well-being by resolving internal clashes within it that occur in interpersonal conflicts. The argument for this unique conception of high-order fairness is that fairness is morally significant in itself only regarding what matters – individual well-being – and when it matters (...) – in interpersonal conflicts in which constitutive aspects of individual well-being clash. Consequently, the proposed theory is not exposed to claim that fairness comes at the expense of welfare. This theory is considered within a consequential framework, based on the standard version and, alternatively, on a novel interpretation of consequentialism. Thus, it refutes the claim that consequentialism does not take the distinction between persons seriously. (shrink)

In this article I criticize the non-consequentialist Weighted Lottery (WL) solution to the choice between saving a smaller or a larger group of people. WL aims to avoid what non-consequentialists see as consequentialism's unfair aggregation by giving equal consideration to each individual's claim to be rescued. In so doing, I argue, WL runs into another common objection to consequentialism: it is excessively demanding. WL links the right action with the outcome of a fairly weighted lottery, which means that an agent (...) can only act rightly if s/he has actually run the lottery. In many actual cases, this involves epistemic demands that can be almost impossible to meet. I argue that plausible moral principles cannot make such extreme epistemic demands. (shrink)

Why should a lottery be used in the allocation of an indivisible good to which participants in the lottery have an equally strong claim? Stone argues that when indeterminacy arises, in which it is impossible to satisfy the equality condition requiring like cases to be treated alike, the impartiality principle suggests that the agent responsible for the allocation task should not intend to favor one over another on the basis of invalid reasons. In this article, I argue that the impartiality (...) principle is neither sufficient nor necessary to explain the fairness of lotteries. Instead, the fairness of lotteries is explained by the sanitizing effect that lotteries generate to screen out the reactive attitudes of resentment and indignation that claimants might otherwise have if they do not obtain the good in question. (shrink)

Questioning the ethical reasoning behind ways of attributing value to lives impacts philosophical dilemmas encountered in policy making and innovation in AI. For instance, this sort of reasoning requires us to determine how self-driving cars should behave when encountering real-life dilemmas such as inevitably crashing into one person as opposed to a group of people. -/- This issue will be examined with the Rocks Case, a case of conflict of interest where all the relevant parties are strangers, and we can (...) either save one person or a group of five. The two courses of action which will be discussed in this paper are: 1) “Ought to Save the Many” (OSM) and 2) “Permitted to Save the Few” (PSF). -/- The position of PSF using a weighted lottery will be argued for, rather than acting according to utilitarian or contractualist OSM reasoning, on the grounds that it would give all persons involved a fair opportunity of survival. This is judged to be a more important criterion than merely maximising the number of people to rescue. (shrink)

John Broome has argued that incomparability and vagueness cannot coexist in a given betterness order. His argument essentially hinges on an assumption he calls the ‘collapsing principle’. In an earlier article I criticized this principle, but Broome has recently expressed doubts about the cogency of my criticism. Moreover, Cristian Constantinescu has defended Broome’s view from my objection. In this paper, I present further arguments against the collapsing principle, and try to show that Constantinescu’s defence of Broome’s position fails.

Suppose you find yourself in a situation in which you can either save both A and B or save only C. A, B and C are relevantly similar – all are strangers to you, none is more deserving of life than any other, none is responsible for being in a life-threatening situation, and so on. John Taurek argued that when deciding what to do in such a situation, you should flip a coin, thereby giving each of A, B and C (...) a 50% chance of survival . Only by doing this can we treat each person with the appropriate degree of respect. Taurek seemed to be employing the “Equal Greatest Chance” principle , according to which, when deciding whom to save, one must give each person the greatest possible chance of survival consistent with everyone else having the same chance. An obvious alternative is the “Save the Greater Number” principle . I describe an example that shows that EGC is false. I show that the example also demonstrates the falsity of other related views, including Jens Timmermann’s “Individualist Lottery Principle.” I conclude that SGN is true. And I extend the argument to other kinds of cases, showing that which person should be saved may depend on whether some additional well-being may be gained for someone in the process. (shrink)

The three most common responses to Taurek’s ‘numbers problem’ are saving the greater number, equal chance lotteries and weighted lotteries. Weighted lotteries have perhaps received the least support, having been criticized by Scanlon What We Owe to Each Other ( 1998 ) and Hirose ‘Fairness in Life and Death Cases’ ( 2007 ). This article considers these objections in turn, and argues that they do not succeed in refuting the fairness of a weighted lottery, which remains a potential solution to (...) cases of conflict. Moreover, it shows how these responses actually lead to a new argument for weighted lotteries, appealing to fairness and Pareto-optimality. (shrink)

In the event of a pandemic, demand for vaccines may exceed supply. One proposal for allocating vaccines is to use a lottery, to give all citizens an equal chance, either of getting the vaccine or of surviving. However, insistence on strict equality can result in seriously suboptimal outcomes. I argue that the requirement to treat all citizens impartially need not be interpreted to require equal chances, particularly where citizens are differently situated. Assuming that we want to save lives, we should (...) also seek to use vaccine efficiently, so far as this is compatible with equality. Thus, in allocating vaccine, we may want to be sensitive to different levels of need and/or effects on vaccine production. While such policies may result in unequal chances, they may even improve everyone’s chances. In such cases, the resultant inequality is not a violation of impartiality, but a consequence of considering each person’s claim seriously. (shrink)

This article offers a new theory about how using lotteries to distribute scarce benefits satisfies beneficiaries' claims. In the first section of the article I criticize John Broome's view and on the basis of these criticisms set out four desiderata for a philosophically adequate account of claim satisfaction by lottery. In section II I propose and defend a new view called the dual structure view, so called because it posits that claimants have two types of claims in the relevant scarce (...) benefit distribution cases under discussion. This view meets all the desiderata set out in section I. Section III draws out the practical implications of my view for a variety of temporally extended cases, including the distribution of corneas to patients who have suffered corneal degeneration. (shrink)

The hypothetical scenarios generally known as trolley problems have become widespread in recent moral philosophy. They invariably require an agent to choose one of a strictly limited number of options, all of them bad. Although they don’t always involve trolleys / trams, and are used to make a wide variety of points, what makes it justified to speak of a distinctive “trolley method” is the characteristic assumption that the intuitive reactions that all these artificial situations elicit constitute an appropriate guide (...) to real-life moral reasoning. I dispute this assumption by arguing that trolley cases inevitably constrain the supposed rescuers into behaving in ways that clearly deviate from psychologically healthy, and morally defensible, human behavior. Through this focus on a generally overlooked aspect of trolley theorizing – namely, the highly impoverished role invariably allotted to the would-be rescuer in these scenarios – I aim to challenge the complacent twin assumptions of advocates of the trolley method that this approach to moral reasoning has practical value, and is in any case innocuous. Neither assumption is true. (shrink)

When facing a choice between saving one person and saving many, some people have argued that fairness requires us to decide without aggregating numbers; rather we should decide by coin toss or some form of lottery, or alternatively we should straightforwardly save the greater number but justify this in a non-aggregating contractualist way. This paper expands the debate beyond well-known number cases to previously under-considered probability cases, in which not (only) the numbers of people, but (also) the probabilities of success (...) for saving people vary. It is shown that, in these latter cases, both the coin toss and the lottery lead to what is called an awkward conclusion, which makes probabilities count in a problematic way. Attempts to avoid this conclusion are shown to lead into difficulties as well. Finally, it is shown that while the greater number method cannot be justified on contractualist grounds for probability cases, it may be replaced by another decision method which is so justified. This decision method is extensionally equivalent to maximising expected value and seems to be the least problematic way of dealing with probability cases in a non-aggregating manner. (shrink)

This article addresses Taruek’s much discussed Number Problem from a non-consequentialist point of view. I argue that some versions of the Number Problem have no solution, meaning that no alternative is at least as choice-worthy as the others, and that the best way to behave in light of such moral indeterminacy is to let chance make the decision. I contrast my proposal with F M Kamm ’s nonconsequentialist argument for saving the greatest number, the Argument for Best Outcomes, which I (...) argue does not follow from the premises it is based on. (shrink)

After providing a novel taxonomy of lottery procedures for fairly distributing scarce goods, I defend a new weighted lottery theory. This taxonomy is necessary because the debate between unweighted and weighted lottery theorists overlooks a range of cases, overlap cases, in which conducting an unweighted lottery is impossible or implausible. Therefore, to account for all such cases, lottery theorists must adopt a weighted lottery. However, while no extant weighted lottery is adequate in overlap cases, my new weighted lottery theory is. (...) I conclude by discussing my theory’s practical implications. (shrink)