Martin Peterson

A transformative decision rule alters the representation of a decision problem, either by changing the set of alternative acts or the set of states of the world taken into consideration, or by modifying the probability or value assignments. A set of transformative decision rules is order-independent in case the order in which the rules are applied is irrelevant. The main result of this paper is an axiomatic characterization of order-independent transformative decision rules, based on a single axiom. It is shown that the proposed axiomatization resolves a problem observed by Teddy Seidenfeld in a previous axiomatization by Peterson.

It is commonly assumed that preferences are determinate; that is, that an agent who has a preference knows that she has the preference in question and is disposed to act upon it. This paper argues the dubiousness of that assumption. An account of indeterminate preferences in terms of self-predicting subjective probabilities is given, and a decision rule for choices involving indeterminate preferences is proposed. Wolfgang Spohn’s and Isaac Levi ’s arguments against self-predicting probabilities are also considered, in light of Wlodek Rabinowicz’s recent criticism

To consequentialise a moral theory means to account for moral phenomena usually described in nonconsequentialist terms, such as rights, duties, and virtues, in a consequentialist framework. This paper seeks to show that all moral theories can be consequentialised. The paper distinguishes between different interpretations of the consequentialiser’s thesis, and emphasises the need for a cardinal ranking of acts. The paper also offers a new answer as to why consequentialising moral theories is important: This yields crucial methodological insights about how to pursue ethical inquires.

We argue that non-epistemic values, including moral ones, play an important role in the construction and choice of models in science and engineering. Our main claim is that non-epistemic values are not only “secondary values” that become important just in case epistemic values leave some issues open. Our point is, on the contrary, that non-epistemic values are as important as epistemic ones when engineers seek to develop the best model of a process or problem. The upshot is that models are neither value-free, nor depend exclusively on epistemic values or use non-epistemic values as tie-breakers

The debate over the civilian use of nuclear power is highly polarised. We argue that a reasonable response to this deep disagreement is to maintain that advocates of both camps should modify their positions. According to the analysis we propose, nuclear power is neither entirely right nor entirely wrong, but rather right and wrong to some degree. We are aware that this non-binary analysis of nuclear power is controversial from a theoretical point of view. Utilitarians, Kantians, and other moral theorists make sharp, binary distinctions between right and wrong acts. However, an important argument speaking in favour of our non-binary analysis is that it better reflects our considered intuitions about the ethical trade-offs we face in discussions of nuclear power. The aim of this article is to make this argument sharp by explaining how it can be rendered compatible with, and supported by, the Capability Approach, which is quickly becoming one of the most influential frameworks for thinking about human development

According to the canonical formulation of the modal account of luck [e.g. Pritchard (2005)], an event is lucky just when that event occurs in the actual world but not in a wide class of the nearest possible worlds where the relevant conditions for that event are the same as in the actual world. This paper argues, with reference to a novel variety of counterexample, that it is a mistake to focus, when assessing a given event for luckiness, on events distributed over just the nearest possible worlds. More specifically, our objection to the canonical formulation of the modal account of luck reveals that whether an event is lucky depends crucially on events distributed over all possible worlds–viz., across the modal universe. It is shown that an amended modal account of luck which respects this point has the additional virtue of avoiding a notable kind of counterexample to modal accounts of luck proposed by Lackey (2008).

It is widely believed that consequentialists are committed to the claim that persons are mere containers for well-being. In this article I challenge this view by proposing a new version of consequentialism, according to which the identities of persons matter. The new theory, two-dimensional prioritarianism, is a natural extension of traditional prioritarianism. Two-dimensional prioritarianism holds that wellbeing matters more for persons who are at a low absolute level than for persons who are at a higher level and that it is worse to be deprived of a given number of units than it is good to gain the same number of units, even if the new distribution is a permutation of the original one. If a fixed amount of well-being is transferred from one person to another and then transferred back again, two-dimensional prioritarianism implies that it would have been better to preserve the status quo

Johansson and Rosenqvist reject our argument for the rational permissibility of pure time preferences. Johansson and Rosenqvist's main objection is that where two options, X and Y, have equal intrinsic value, there will be a reason to be indifferent between X and Y, and therefore a reason to not hold a PTP for X or Y. In this reply, we argue that if two options have equal intrinsic value, it does not follow that you have a reason to be indifferent. Rather, the two equally large intrinsic values cancel each other out, like two equal weights on kitchen scales.

Armchair philosophers have questioned the significance of recent work in experimental philosophy by pointing out that experiments have been conducted on laypeople and undergraduate students. To challenge a practice that relies on expert intuitions, so the armchair objection goes, one needs to demonstrate that expert intuitions rather than those of ordinary people are sensitive to contingent facts such as cultural, linguistic, socio-economic, or educational background. This article does exactly that. Based on two empirical studies on populations of 573 and 203 trained philosophers, respectively, it demonstrates that expert intuitions vary dramatically according to at least one contingent factor, namely, the linguistic background of the expert: philosophers make different intuitive judgments if their native language is English rather than Dutch, German, or Swedish. These findings cast doubt on the common armchair assumption that philosophical theories based on armchair intuitions are valid beyond the linguistic background against which they were developed

In this article I respond to comments and objections raised in the special issue on my book The Dimensions of Consequentialism. I defend my multi-dimensional consequentialist theory against a range of challenges articulated by Thomas Schmidt, Campbell Brown, Frances Howard-Snyder, Roger Crisp, Vuko Andric and Attila Tanyi, and Jan Gertken. My aim is to show that multi-dimensional consequentialism is, at least, a coherent and intuitively plausible alternative to one-dimensional theories such as utilitarianism, prioritarianism, and mainstream accounts of egalitarianism. I am very grateful to all contributors for reading my book so closely and for devoting time and intellectual energy to thinking about the pros and cons of multi-dimensional consequentialism

Peter Singer has famously argued that people living in affluent western countries are morally obligated to donate money to famine relief. The central premise in his argument is that, If it is in our power to prevent something bad from happening, without thereby sacrificing anything of comparable moral importance, we ought, morally, to do so. The present paper offers an argument to the effect that affluent people ought to support foreign aid projects based on a much weaker ethical premise. The new premise states that, If it is in our power to prevent something bad from happening, without thereby sacrificing anything of moral importance, we ought, morally, to do so. This premise, supplemented with a notion of final value drawing on Amartya Sen''s concept of freedom as capabilities and functionings, is conceived as a special version of a weak, egalitarian Pareto principle.

Pragmatic arguments seek to demonstrate that you can be placed in a situation in which you will face a sure and foreseeable loss if you do not behave in accordance with some principle P. In this article I show that for every P entailed by the principle of maximizing expected utility you will not be better off from a pragmatic point of view if you accept P than if you don’t, because even if you obey the axioms of expected utility theory it is possible to place you in a situation in which you will face a certain and foreseeable loss. This shows that for a large class of Ps, there is no pragmatic difference between people who accept P and those who don’t.

abstract Even though much research has been devoted to studies of safety, the concept of safety is in itself under‐theorised, especially concerning its relation to epistemic uncertainty. In this paper we propose a conceptual analysis of safety. The paper explores the distinc‐tion between absolute and relative safety, as well as that between objective and subjective safety. Four potential dimensions of safety are discussed, viz. harm, probability, epistemic uncertainty, and control. The first three of these are used in the proposed definition of safety, whereas it is argued that control should not be included in a reasonable definition of safety. It is shown that strictly speaking, an objective safety concept is not attainable. Instead, an intersubjective concept is proposed that brings us as close as possible to an objective concept.

The concept of transformative decision rules provides auseful tool for analyzing what is often referred to as the`framing', or `problem specification', or `editing' phase ofdecision making. In the present study we analyze a fundamentalaspect of transformative decision rules, viz. permutability. A setof transformative decision rules is, roughly put, permutable justin case it does not matter in which order the rules are applied.It is argued that in order to be normatively reasonable, sets oftransformative decision rules have to satisfy a number ofstructural conditions that together imply permutability. Thisformal result gives support to a non-sequential theory of framing,i.e., a theory which prescribes no uniform order in which differentsteps in the framing process have to be performed.

This paper presents an axiomatization of the principle of maximizing expected utility that does not rely on the independence axiom or sure-thing principle. Perhaps more importantly the new axiomatization is based on an ex ante approach, instead of the standard ex post approach. An ex post approach utilizes the decision maker's preferences among risky acts for generating a utility and a probability function, whereas in the ex ante approach a set of preferences among potential outcomes are on the input side of the theory and the decision maker's preferences among risky acts on the output side

This up-to-date introduction to decision theory offers comprehensive and accessible discussions of decision-making under ignorance and risk, the foundations of utility theory, the debate over subjective and objective probability, Bayesianism, causal decision theory, game theory, and social choice theory. No mathematical skills are assumed, and all concepts and results are explained in non-technical and intuitive as well as more formal ways. There are over 100 exercises with solutions, and a glossary of key terms and concepts. An emphasis on foundational aspects of normative decision theory (rather than descriptive decision theory) makes the book particularly useful for philosophy students, but it will appeal to readers in a range of disciplines including economics, psychology, political science and computer science. • Has over 100 end of chapter review questions and exercises with solutions • Includes a chapter on how to draw a decision matrix • Explains the link between individual decision making, game theory and social choice theory Contents Preface; 1. Introduction; 2. The decision matrix; 3. Decisions under ignorance; 4. Decisions under risk; 5. Utility; 6. The mathematics of probability; 7. The philosophy of probability; 8. Why should we accept the preference axioms; 9. Causal vs. evidential decision theory; 10. Bayesian vs. non-Bayesian decision theory; 11. Game theory I: basic concepts and zero sum games; 12. Game theory II: nonzero sum and co-operative games; 13. Social choice theory; 14. Overview of descriptive decision theory; Appendix A. Glossary; Appendix B. Proof of the von Neumann-Morgenstern theorem; Further reading; Index.

Based on a modern reading of Aristotle’s theory of friendship, we argue that virtual friendship does not qualify as genuine friendship. By ‘virtual friendship’ we mean the type of friendship that exists on the internet, and seldom or never is combined with real life interaction. A ‘traditional friendship’ is, in contrast, the type of friendship that involves substantial real life interaction, and we claim that only this type can merit the label ‘genuine friendship’ and thus qualify as morally valuable. The upshot of our discussion is that virtual friendship is what Aristotle might have described as a lower and less valuable form of social exchange.

This article seeks to contribute to the discussion on the nature of choice in virtue theory. If several different actions are available to the virtuous agent, they are also likely to vary in their degree of virtue, at least in some situations. Yet, it is widely agreed that once an action is recognised as virtuous there is no higher level of virtue. In this paper we discuss how the virtue theorist could accommodate both these seemingly conflicting ideas. We discuss this issue from a modern Aristotelian perspective, as opposed to a purely exegetic one. We propose a way of resolving what seems to be a major clash between two central features of virtue ethics. Our proposal is based on the notion of parity, a concept which recently has received considerable attention in the literature on axiology. Briefly put, two alternatives are on a par (or are ‘roughly equal’) if they are comparable, although it is not the case that one is better than the other, nor that they are equally good. The advantages of applying the concept of parity to our problem are twofold. Firstly, it sheds new light on the account of choice in virtue theory. Secondly, some of the criticisms that have been mounted against the possibility of parity can be countered by considering the notion of choice from a virtue theory perspective

Some philosophers believe that two objects of value can be ‘roughly equal’, or ‘on a par’, or belong to the same ‘clump’ of value in a sense that is fundamentally different from that in which some objects are ‘better than’, ‘worse than’, or ‘equally as good as’ others. This article shows that if two objects are on a par, or belong to the same clump, then an agent accepting a few plausible premises can be exploited in a money-pump. The central premise of the argument is that value is choice-guiding. If one object is more valuable than another, then it is not permitted to choose the less valuable object; and if two objects are equally valuable it is permitted to choose either of them; and if two objects are on a par or belong to the same clump it is also permitted to choose either of them.

This article argues that, contrary to the received view, prioritarianism and egalitarianism are not jointly incompatible theories in normative ethics. By introducing a distinction between weighing and aggregating, the authors show that the seemingly conflicting intuitions underlying prioritarianism and egalitarianism are consistent. The upshot is a combined position, equality-prioritarianism, which takes both prioritarian and egalitarian considerations into account in a technically precise manner. On this view, the moral value of a distribution of well-being is a product of two factors: the sum of all individuals' priority-adjusted well-being, and a measure of the equality of the distribution in question. Some implications of equality-prioritarianism are considered.

The main result of this paper is a formal argument for the principle of maximizing expected utility that does not rely on the law of large numbers. Unlike the well-known arguments by Savage and von Neumann & Morgenstern, this argument does not presuppose the sure-thing principle or the independence axiom. The principal idea is to use the concept of transformative decision rules for decomposing the principle of maximizing expected utility into a sequence of normatively reasonable subrules. It is shown that this procedure provides a resolution of Allais's paradox that cannot be obtained by Savage-style or von Neumann & Morgenstern-style arguments.