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Normative Decision Theory

Analysis 79 (4):755-772 (2019)

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  1. Intentions and instability: a defence of causal decision theory.Adam Bales - 2020 - Philosophical Studies 177 (3):793-804.
    Andy Egan has recently presented a prominent objection to causal decision theory. However, in this paper, I argue that this objection fails if CDT’s proponent accepts the plausible view that decision-theoretic options are intentions. This result both provides a defence of CDT against a prominent objection and highlights the importance of resolving the nature of decision-theoretic options.
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  • A Counterexample to Three Imprecise Decision Theories.Seamus Bradley - 2018 - Theoria 85 (1):18-30.
    There is currently much discussion about how decision making should proceed when an agent's degrees of belief are imprecise; represented by a set of probability functions. I show that decision rules recently discussed by Sarah Moss, Susanna Rinard and Rohan Sud all suffer from the same defect: they all struggle to rationalize diachronic ambiguity aversion. Since ambiguity aversion is among the motivations for imprecise credence, this suggests that the search for an adequate imprecise decision rule is not yet over.
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  • Risk aversion and the long run.Johanna Thoma - 2018 - Ethics 129 (2):230-253.
    This article argues that Lara Buchak’s risk-weighted expected utility (REU) theory fails to offer a true alternative to expected utility theory. Under commonly held assumptions about dynamic choice and the framing of decision problems, rational agents are guided by their attitudes to temporally extended courses of action. If so, REU theory makes approximately the same recommendations as expected utility theory. Being more permissive about dynamic choice or framing, however, undermines the theory’s claim to capturing a steady choice disposition in the (...)
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  • Parity, prospects, and predominance.Ryan Doody - 2019 - Philosophical Studies 176 (4):1077-1095.
    Let’s say that you regard two things as on a par when you don’t prefer one to other and aren’t indifferent between them. What does rationality require of you when choosing between risky options whose outcomes you regard as on a par? According to Prospectism, you are required to choose the option with the best prospects, where an option’s prospects is a probability-distribution over its potential outcomes. In this paper, I argue that Prospectism violates a dominance principle—which I call The (...)
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  • Equal Opportunity and Newcomb’s Problem.Ian Wells - 2019 - Mind 128 (510):429-457.
    The 'Why ain'cha rich?' argument for one-boxing in Newcomb's problem allegedly vindicates evidential decision theory and undermines causal decision theory. But there is a good response to the argument on behalf of causal decision theory. I develop this response. Then I pose a new problem and use it to give a new 'Why ain'cha rich?' argument. Unlike the old argument, the new argument targets evidential decision theory. And unlike the old argument, the new argument is sound.
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  • Ensemble prospectism.Kim Kaivanto - 2017 - Theory and Decision 83 (4):535-546.
    Incomplete preferences displaying ‘mildly sweetened’ structure are common, yet theoretically problematic. This paper examines the properties of the rankings induced by the set of all coherent completions of the mildly sweetened partial preference structure. Building on these properties, I propose an ensemble-based refinement of Hare’s prospectism criterion for rational choice when preferences are incomplete. Importantly, this ensemble-based refinement is immune to Peterson’s weak money pump argument. Hence, ensemble prospectism ensures outcome rationality. Furthermore, by recognizing the structural isomorphism between mildly sweetened (...)
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  • Risk writ large.Johanna Thoma & Jonathan Weisberg - 2017 - Philosophical Studies 174 (9):2369-2384.
    Risk-weighted expected utility theory is motivated by small-world problems like the Allais paradox, but it is a grand-world theory by nature. And, at the grand-world level, its ability to handle the Allais paradox is dubious. The REU model described in Risk and Rationality turns out to be risk-seeking rather than risk-averse on one natural way of formulating the Allais gambles in the grand-world context. This result illustrates a general problem with the case for REU theory, we argue. There is a (...)
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  • Decision Theory with a Human Face.Richard Bradley - 2017 - Cambridge University Press.
    When making decisions, people naturally face uncertainty about the potential consequences of their actions due in part to limits in their capacity to represent, evaluate or deliberate. Nonetheless, they aim to make the best decisions possible. In Decision Theory with a Human Face, Richard Bradley develops new theories of agency and rational decision-making, offering guidance on how 'real' agents who are aware of their bounds should represent the uncertainty they face, how they should revise their opinions as a result of (...)
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  • Smokers, Psychos, and Decision-Theoretic Uncertainty.William MacAskill - 2016 - Journal of Philosophy 113 (9):425-445.
    In this paper I propose an approach to decision theory that I call metanormativism, where the key idea is that decision theory should take into account decision-theoretic uncertainty. I don’t attempt to argue in favor of this view, though I briefly offer some motivation for it. Instead, I argue that if the view is correct, it has important implications for the causal versus evidential decision-theory debate. First, it allows us to make rational sense of our seemingly divergent intuitions across the (...)
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  • A defense of imprecise credences in inference and decision making1.James Joyce - 2010 - Philosophical Perspectives 24 (1):281-323.
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  • What Is Risk Aversion?H. Orii Stefansson & Richard Bradley - 2019 - British Journal for the Philosophy of Science 70 (1):77-102.
    According to the orthodox treatment of risk preferences in decision theory, they are to be explained in terms of the agent's desires about concrete outcomes. The orthodoxy has been criticised both for conflating two types of attitudes and for committing agents to attitudes that do not seem rationally required. To avoid these problems, it has been suggested that an agent's attitudes to risk should be captured by a risk function that is independent of her utility and probability functions. The main (...)
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  • Transformative Experience.Laurie Paul - 2014 - Oxford, GB: Oxford University Press.
    How should we make choices when we know so little about our futures? L. A. Paul argues that we must view life decisions as choices to make discoveries about the nature of experience. Her account of transformative experience holds that part of the value of living authentically is to experience our lives and preferences in whatever ways they evolve.
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  • Newcomb’s problem and two principles of choice.Robert Nozick - 1969 - In Nicholas Rescher (ed.), Essays in honor of Carl G. Hempel. Dordrecht,: Reidel. pp. 114–46.
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  • (1 other version)The Logic of Decision.Henry E. Kyberg - 1968 - Philosophical Review 77 (2):250.
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  • Costs of abandoning the Sure-Thing Principle.Rachael Briggs - 2015 - Canadian Journal of Philosophy 45 (5):827-840.
    Risk-weighted expected utility theory permits preferences which violate the Sure-Thing Principle. But preferences that violate the STP can lead to bad decisions in sequential choice problems. In particular, they can lead decision-makers to adopt a strategy that is dominated – i.e. a strategy such that some available alternative leads to a better outcome in every possible state of the world.
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  • Le Comportement de L’Homme Rationnel Devant le Risque: Critique des Postulats et Axiomes de L’École Américaine.Maurice Allais - 1953 - Econometrica: Journal of the Econometric Society 21:503--546.
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  • (2 other versions)Making Comparisons Count.Ruth Chang - 2001 - New York: Routledge.
    This book attempts to answer two questions: Are alternatives for choice ever incomparable? and In what ways can items be compared? The arguments offered suggest that alternatives for choice no matter how different are never incomparable, and that the ways in which items can be compared are richer and more varied than commonly supposed.
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  • A New Problem with Mixed Decisions, Or: You’ll Regret Reading This Article, But You Still Should.Benjamin Plommer - 2016 - Erkenntnis 81 (2):349-373.
    Andy Egan recently drew attention to a class of decision situations that provide a certain kind of informational feedback, which he claims constitute a counterexample to causal decision theory. Arntzenius and Wallace have sought to vindicate a form of CDT by describing a dynamic process of deliberation that culminates in a “mixed” decision. I show that, for many of the cases in question, this proposal depends on an incorrect way of calculating expected utilities, and argue that it is therefore unsuccessful. (...)
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  • The Dynamics of Rational Deliberation.Brian Skyrms - 1990 - Harvard University Press.
    Brian Skyrms constructs a theory of "dynamic deliberation" and uses it to investigate rational decision-making in cases of strategic interaction. This illuminating book will be of great interest to all those in many disciplines who use decision theory and game theory to study human behavior and thought. Skyrms begins by discussing the Bayesian theory of individual rational decision and the classical theory of games, which at first glance seem antithetical in the criteria used for determining action. In his effort to (...)
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  • Decision-Making Under Indeterminacy.J. Robert G. Williams - 2014 - Philosophers' Imprint 14.
    Decisions are made under uncertainty when there are distinct outcomes of a given action, and one is uncertain to which the act will lead. Decisions are made under indeterminacy when there are distinct outcomes of a given action, and it is indeterminate to which the act will lead. This paper develops a theory of (synchronic and diachronic) decision-making under indeterminacy that portrays the rational response to such situations as inconstant. Rational agents have to capriciously and randomly choose how to resolve (...)
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  • Credal Dilemmas.Sarah Moss - 2014 - Noûs 48 (3):665-683.
    Recently many have argued that agents must sometimes have credences that are imprecise, represented by a set of probability measures. But opponents claim that fans of imprecise credences cannot provide a decision theory that protects agents who follow it from foregoing sure money. In particular, agents with imprecise credences appear doomed to act irrationally in diachronic cases, where they are called to make decisions at earlier and later times. I respond to this claim on behalf of imprecise credence fans. Once (...)
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  • Causal Decision Theory and the Fixity of the Past.Arif Ahmed - 2014 - British Journal for the Philosophy of Science 65 (4):665-685.
    Causal decision theory (CDT) cares only about the effects of a contemplated act, not its causes. The article constructs a case in which CDT consequently recommends a bet that the agent is certain to lose, rather than a bet that she is certain to win. CDT is plainly giving wrong advice in this case. It therefore stands refuted. 1 The Argument2 The Argument in More Detail2.1 The betting mechanism2.2 Soft determinism2.3 The content of P 2.4 The argument again3 The Descriptive (...)
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  • Causation, Chance, and the Rational Significance of Supernatural Evidence.Huw Price - 2012 - Philosophical Review 121 (4):483-538.
    In “A Subjectivist’s Guide to Objective Chance,” David Lewis says that he is “led to wonder whether anyone but a subjectivist is in a position to understand objective chance.” The present essay aims to motivate this same Lewisean attitude, and a similar degree of modest subjectivism, with respect to objective causation. The essay begins with Newcomb problems, which turn on an apparent tension between two principles of choice: roughly, a principle sensitive to the causal features of the relevant situation, and (...)
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  • Decision theory for agents with incomplete preferences.Adam Bales, Daniel Cohen & Toby Handfield - 2014 - Australasian Journal of Philosophy 92 (3):453-70.
    Orthodox decision theory gives no advice to agents who hold two goods to be incommensurate in value because such agents will have incomplete preferences. According to standard treatments, rationality requires complete preferences, so such agents are irrational. Experience shows, however, that incomplete preferences are ubiquitous in ordinary life. In this paper, we aim to do two things: (1) show that there is a good case for revising decision theory so as to allow it to apply non-vacuously to agents with incomplete (...)
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  • Decision-theoretic paradoxes as voting paradoxes.Rachael Briggs - 2010 - Philosophical Review 119 (1):1-30.
    It is a platitude among decision theorists that agents should choose their actions so as to maximize expected value. But exactly how to define expected value is contentious. Evidential decision theory (henceforth EDT), causal decision theory (henceforth CDT), and a theory proposed by Ralph Wedgwood that this essay will call benchmark theory (BT) all advise agents to maximize different types of expected value. Consequently, their verdicts sometimes conflict. In certain famous cases of conflict—medical Newcomb problems—CDT and BT seem to get (...)
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  • Some counterexamples to causal decision theory.Andy Egan - 2007 - Philosophical Review 116 (1):93-114.
    Many philosophers (myself included) have been converted to causal decision theory by something like the following line of argument: Evidential decision theory endorses irrational courses of action in a range of examples, and endorses “an irrational policy of managing the news”. These are fatal problems for evidential decision theory. Causal decision theory delivers the right results in the troublesome examples, and does not endorse this kind of irrational news-managing. So we should give up evidential decision theory, and be causal decision (...)
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  • Gandalf’s solution to the Newcomb problem.Ralph Wedgwood - 2013 - Synthese 190 (14):2643–2675.
    This article proposes a new theory of rational decision, distinct from both causal decision theory (CDT) and evidential decision theory (EDT). First, some intuitive counterexamples to CDT and EDT are presented. Then the motivation for the new theory is given: the correct theory of rational decision will resemble CDT in that it will not be sensitive to any comparisons of absolute levels of value across different states of nature, but only to comparisons of the differences in value between the available (...)
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  • No regrets, or: Edith piaf revamps decision theory.Frank Arntzenius - 2008 - Erkenntnis 68 (2):277-297.
    I argue that standard decision theories, namely causal decision theory and evidential decision theory, both are unsatisfactory. I devise a new decision theory, from which, under certain conditions, standard game theory can be derived.
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  • Decision-Theoretic Pluralism.Adam Bales - 2018 - Philosophical Quarterly 68 (273):801-818.
    A prominent philosophical debate concerns whether we should accept causal decision theory or evidential decision theory as our best theory of rational choice. However, instead of accepting one of these theories at the expense of the other, an alternative would be to accept that both theories play a partial role in the true account of rational choice. In this paper, I defend a pluralist account of this sort. In particular, I argue that rational permissibility is an indeterminate notion, with EDT (...)
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  • Why Take Both Boxes?Jack Spencer & Ian Wells - 2019 - Philosophy and Phenomenological Research 99 (1):27-48.
    The crucial premise of the standard argument for two-boxing in Newcomb's problem, a causal dominance principle, is false. We present some counterexamples. We then offer a metaethical explanation for why the counterexamples arise. Our explanation reveals a new and superior argument for two-boxing, one that eschews the causal dominance principle in favor of a principle linking rational choice to guidance and actual value maximization.
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  • Imprecise Probabilities and Unstable Betting Behaviour.Anna Mahtani - 2014 - Noûs 52 (1):69-87.
    Many have argued that a rational agent's attitude towards a proposition may be better represented by a probability range than by a single number. I show that in such cases an agent will have unstable betting behaviour, and so will behave in an unpredictable way. I use this point to argue against a range of responses to the ‘two bets’ argument for sharp probabilities.
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  • A Representation Theorem for Frequently Irrational Agents.Edward Elliott - 2017 - Journal of Philosophical Logic 46 (5):467-506.
    The standard representation theorem for expected utility theory tells us that if a subject’s preferences conform to certain axioms, then she can be represented as maximising her expected utility given a particular set of credences and utilities—and, moreover, that having those credences and utilities is the only way that she could be maximising her expected utility. However, the kinds of agents these theorems seem apt to tell us anything about are highly idealised, being always probabilistically coherent with infinitely precise degrees (...)
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  • Revisiting Risk and Rationality: a reply to Pettigrew and Briggs.Lara Buchak - 2015 - Canadian Journal of Philosophy 45 (5):841-862.
    I have claimed that risk-weighted expected utility maximizers are rational, and that their preferences cannot be captured by expected utility theory. Richard Pettigrew and Rachael Briggs have recently challenged these claims. Both authors argue that only EU-maximizers are rational. In addition, Pettigrew argues that the preferences of REU-maximizers can indeed be captured by EU theory, and Briggs argues that REU-maximizers lose a valuable tool for simplifying their decision problems. I hold that their arguments do not succeed and that my original (...)
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  • (2 other versions)Making Comparisons Count.Ruth Chang - 2001 - New York: Routledge.
    This book attempts to answer two questions: Are alternatives for choice ever incomparable? and In what ways can items be compared? The arguments offered suggest that alternatives for choice no matter how different are never incomparable, and that the ways in which items can be compared are richer and more varied than commonly supposed.
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  • Prospectism and the weak money pump argument.Martin Peterson - 2015 - Theory and Decision 78 (3):451-456.
    Hare proposes a view he calls prospectism for making choices in situations in which preferences have a common, but problematic structure. I show that prospectism permits the decision-maker to make a series of choices she knows in advance will lead to a sure loss. I also argue that a theory that permits the decision-maker to make choices she knows in advance will lead to a sure loss should be rejected.
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  • Evidence, Decision and Causality.Arif Ahmed - 2014 - United Kingdom: Cambridge University Press.
    Most philosophers agree that causal knowledge is essential to decision-making: agents should choose from the available options those that probably cause the outcomes that they want. This book argues against this theory and in favour of evidential or Bayesian decision theory, which emphasises the symptomatic value of options over their causal role. It examines a variety of settings, including economic theory, quantum mechanics and philosophical thought-experiments, where causal knowledge seems to make a practical difference. The arguments make novel use of (...)
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  • Should subjective probabilities be sharp?Seamus Bradley & Katie Siobhan Steele - 2014 - Episteme 11 (3):277-289.
    There has been much recent interest in imprecise probabilities, models of belief that allow unsharp or fuzzy credence. There have also been some influential criticisms of this position. Here we argue, chiefly against Elga (2010), that subjective probabilities need not be sharp. The key question is whether the imprecise probabilist can make reasonable sequences of decisions. We argue that she can. We outline Elga's argument and clarify the assumptions he makes and the principles of rationality he is implicitly committed to. (...)
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  • A forward looking decision rule for imprecise credences.Rohan Sud - 2014 - Philosophical Studies 167 (1):119-139.
    Adam Elga (Philosophers’ Imprint, 10(5), 1–11, 2010) presents a diachronic puzzle to supporters of imprecise credences and argues that no acceptable decision rule for imprecise credences can deliver the intuitively correct result. Elga concludes that agents should not hold imprecise credences. In this paper, I argue for a two-part thesis. First, I show that Elga’s argument is incomplete: there is an acceptable decision rule that delivers the intuitive result. Next, I repair the argument by offering a more elaborate diachronic puzzle (...)
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  • Risk and Tradeoffs.Lara Buchak - 2014 - Erkenntnis 79 (S6):1091-1117.
    The orthodox theory of instrumental rationality, expected utility (EU) theory, severely restricts the way in which risk-considerations can figure into a rational individual's preferences. It is argued here that this is because EU theory neglects an important component of instrumental rationality. This paper presents a more general theory of decision-making, risk-weighted expected utility (REU) theory, of which expected utility maximization is a special case. According to REU theory, the weight that each outcome gets in decision-making is not the subjective probability (...)
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  • Unsharp Sharpness.Nils-Eric Sahlin & Paul Weirich - 2013 - Theoria 80 (1):100-103.
    In a recent, thought-provoking paper Adam Elga argues against unsharp – e.g., indeterminate, fuzzy and unreliable – probabilities. Rationality demands sharpness, he contends, and this means that decision theories like Levi's, Gärdenfors and Sahlin's, and Kyburg's, though they employ different decision rules, face a common, and serious, problem. This article defends the rule to maximize minimum expected utility against Elga's objection.
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  • Causal Decision Theory: A Counterexample.Arif Ahmed - 2013 - Philosophical Review 122 (2):289-306.
    The essay presents a novel counterexample to Causal Decision Theory (CDT). Its interest is that it generates a case in which CDT violates the very principles that motivated it in the first place. The essay argues that the objection applies to all extant formulations of CDT and that the only way out for that theory is a modification of it that entails incompatibilism. The essay invites the reader to find this consequence of CDT a reason to reject it.
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  • Subjective Probabilities Need Not be Sharp.Jake Chandler - 2014 - Erkenntnis 79 (6):1273-1286.
    It is well known that classical, aka ‘sharp’, Bayesian decision theory, which models belief states as single probability functions, faces a number of serious difficulties with respect to its handling of agnosticism. These difficulties have led to the increasing popularity of so-called ‘imprecise’ models of decision-making, which represent belief states as sets of probability functions. In a recent paper, however, Adam Elga has argued in favour of a putative normative principle of sequential choice that he claims to be borne out (...)
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  • Push the Button.Arif Ahmed - 2012 - Philosophy of Science 79 (3):386-395.
    Opponents of Causal Decision Theory (CDT) sometimes claim (i) that it gives the wrong advice in Egan-style cases, where the CDT-endorsed act brings news that it causes a bad outcome; (ii) that CDT gives the right advice in Newcomb cases, where it is known in advance that the CDT-act causes you to be richer than the alternative. This paper argues that (i) and (ii) cannot both be true if rational preference over acts is transitive.
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  • Subjective Probabilities Should be Sharp.Adam Elga - 2010 - Philosophers' Imprint 10.
    Many have claimed that unspecific evidence sometimes demands unsharp, indeterminate, imprecise, vague, or interval-valued probabilities. Against this, a variant of the diachronic Dutch Book argument shows that perfectly rational agents always have perfectly sharp probabilities.
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  • Causal decision theory.David Lewis - 1981 - Australasian Journal of Philosophy 59 (1):5 – 30.
    Newcomb's problem and similar cases show the need to incorporate causal distinctions into the theory of rational decision; the usual noncausal decision theory, though simpler, does not always give the right answers. I give my own version of causal decision theory, compare it with versions offered by several other authors, and suggest that the versions have more in common than meets the eye.
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  • A Decision Theory for Imprecise Probabilities.Susanna Rinard - 2015 - Philosophers' Imprint 15.
    Those who model doxastic states with a set of probability functions, rather than a single function, face a pressing challenge: can they provide a plausible decision theory compatible with their view? Adam Elga and others claim that they cannot, and that the set of functions model should be rejected for this reason. This paper aims to answer this challenge. The key insight is that the set of functions model can be seen as an instance of the supervaluationist approach to vagueness (...)
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  • A critique of benchmark theory.Robert Bassett - 2015 - Synthese 192 (1):241-267.
    Benchmark theory , introduced by Ralph Wedgwood, departs from decision theories of pure expectation maximization like evidential decision theory and causal decision theory and instead ranks actions according to the desirability of an outcome they produce in some state of affairs compared to a standard—a benchmark—for that state of affairs. Wedgwood motivates BT through what he terms Gandalf’s principle, that the merits of an action in a given state should be evaluated relative only to the performances of other actions in (...)
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  • Unexpected Expectations.Alan Hájek - 2014 - Mind 123 (490):533-567.
    A decade ago, Harris Nover and I introduced the Pasadena game, which we argued gives rise to a new paradox in decision theory even more troubling than the St Petersburg paradox. Gwiazda's and Smith's articles in this volume both offer revisionist solutions. I critically engage with both articles. They invite reflections on a number of deep issues in the foundations of decision theory, which I hope to bring out. These issues include: some ways in which orthodox decision theory might be (...)
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  • Risk and Rationality.Lara Buchak - 2013 - Oxford, GB: Oxford University Press.
    Lara Buchak sets out a new account of rational decision-making in the face of risk. She argues that the orthodox view is too narrow, and suggests an alternative, more permissive theory: one that allows individuals to pay attention to the worst-case or best-case scenario, and vindicates the ordinary decision-maker.
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  • Regret and instability in causal decision theory.James M. Joyce - 2012 - Synthese 187 (1):123-145.
    Andy Egan has recently produced a set of alleged counterexamples to causal decision theory in which agents are forced to decide among causally unratifiable options, thereby making choices they know they will regret. I show that, far from being counterexamples, CDT gets Egan's cases exactly right. Egan thinks otherwise because he has misapplied CDT by requiring agents to make binding choices before they have processed all available information about the causal consequences of their acts. I elucidate CDT in a way (...)
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