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Counterfactuals and Two Kinds of Expected Utility

In A. Hooker, J. J. Leach & E. F. McClennen (eds.), Foundations and Applications of Decision Theory. D. Reidel. pp. 125-162 (1978)

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  1. Hierarchical maximization of two kinds of expected utility.Paul Weirich - 1988 - Philosophy of Science 55 (4):560-582.
    Causal decision theory produces decision instability in cases such as Death in Damascus where a decision itself provides evidence concerning the utility of options. Several authors have proposed ways of handling this instability. William Harper (1985 and 1986) advances one of the most elegant proposals. He recommends maximizing causal expected utility among the options that are causally ratifiable. Unfortunately, Harper's proposal imposes certain restrictions; for instance, the restriction that mixed strategies are freely available. To obtain a completely general method of (...)
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  • Decisions in Dynamic Settings.Paul Weirich - 1986 - PSA Proceedings of the Biennial Meeting of the Philosophy of Science Association 1986 (1):438-449.
    The expected utility of an option for a decision maker is defined with respect to probability and utility functions that represent the decision maker’s beliefs and desires. Therefore, as the decision maker’s beliefs and desires change, the expected utility of an opinion may change. Some options are such that their realizations change beliefs and desires in ways that change the expected utilities of the options. If a decision is made among options that include one or more of these special options, (...)
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  • Decision instability.Paul Weirich - 1985 - Australasian Journal of Philosophy 63 (4):465 – 472.
    In some decision problems adoption of an option furnishes evidence about the option's consequences. Rational decisions take account of that evidence, although it makes an option's adoption changes the option's expected utility.
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  • Change in the Decision Sciences.Paul Weirich - 2018 - Lato Sensu: Revue de la Société de Philosophie des Sciences 5 (1):13-19.
    A common type of change in science occurs as theorists generalize a model of a phenomenon by removing some idealizations of the model. This type of change occurs in the decision sciences and also in the normative branch of the decision sciences that treats rational choice. After presenting a general ac-count of model generalization, the paper illustrates generalization of models in normative decision theory. The principal illustration generalizes a standard model of rational choice by removing the idealization that deliberation has (...)
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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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  • The Real Reason Why the Prisoner’s Dilemma is Not a Newcomb Problem.Mark Thomas Walker - 2014 - Philosophia 42 (3):841-859.
    It is commonly thought, in line with the position defended in an influential paper by David Lewis, that the decision problems faced in the prisoner’s dilemma and the Newcomb situation are essentially the same problem. José Luis Bermúdez has recently attacked the case Lewis makes for this claim. While I think the claim is false, I contend that Bermúdez’s reason for rejecting Lewis’s argument is inadequate, and then outline what I take to be a better reason for doing so.
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  • Objective chance, indicative conditionals and decision theory; or, how you can be Smart, rich and keep on smoking.Thomas C. Vinci - 1988 - Synthese 75 (1):83 - 105.
    In this paper I explore a version of standard (expected utility) decision theory in which the probability parameter is interpreted as an objective chance believed by agents to obtain and values of this parameter are fixed by indicative conditionals linking possible actions with possible outcomes. After reviewing some recent developments centering on the common-cause counterexamples to the standard approach, I introduce and briefly discuss the key notions in my own approach. (This approach has essentially the same results as the causal (...)
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  • In defense of causal eliminativism.Alice van’T. Hoff - 2022 - Synthese 200 (5):1-22.
    Causal eliminativists maintain that all causal talk is false. The prospects for such a view seem to be stymied by an indispensability argument, charging that any agent must distinguish between effective and ineffective strategies, and that such a distinction must commit that agent to causal notions. However, this argument has been under-explored. The contributions of this paper are twofold: first, I provide a thorough explication of the indispensability argument and the various ways it might be defended. Second, I point to (...)
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  • Rationality and charity.Paul Thagard & Richard E. Nisbett - 1983 - Philosophy of Science 50 (2):250-267.
    Quine and others have recommended principles of charity which discourage judgments of irrationality. Such principles have been proposed to govern translation, psychology, and economics. After comparing principles of charity of different degrees of severity, we argue that the stronger principles are likely to block understanding of human behavior and impede progress toward improving it. We support a moderate principle of charity which leaves room for empirically justified judgments of irrationality.
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  • Standard and non-standard newcomb problems.W. J. Talbott - 1987 - Synthese 70 (3):415 - 458.
    Examples involving common causes — most prominently, examples involving genetically influenced choices — are analytically equivalent not to standard Newcomb Problems — in which the Predictor genuinely predicts the agent's decision — but to non-standard Newcomb Problems — in which the Predictor guarantees the truth of her predictions by interfering with the agent's decision to make the agent choose as it was predicted she would. When properly qualified, causal and epistemic decision theories diverge only on standard — not on non-standard (...)
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  • Interventionist decision theory.Reuben Stern - 2017 - Synthese 194 (10):4133-4153.
    Jim Joyce has argued that David Lewis’s formulation of causal decision theory is inadequate because it fails to apply to the “small world” decisions that people face in real life. Meanwhile, several authors have argued that causal decision theory should be developed such that it integrates the interventionist approach to causal modeling because of the expressive power afforded by the language of causal models, but, as of now, there has been little work towards this end. In this paper, I propose (...)
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  • Decision and Intervention.Reuben Stern - 2019 - Erkenntnis 84 (4):783-804.
    Meek and Glymour use the graphical approach to causal modeling to argue that one and the same norm of rational choice can be used to deliver both causal-decision-theoretic verdicts and evidential-decision-theoretic verdicts. Specifically, they argue that if an agent maximizes conditional expected utility, then the agent will follow the causal decision theorist’s advice when she represents herself as intervening, and will follow the evidential decision theorist’s advice when she represents herself as not intervening. Since Meek and Glymour take no stand (...)
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  • An Interventionist’s Guide to Exotic Choice.Reuben Stern - 2021 - Mind 130 (518):537-566.
    In this paper, I use interventionist causal models to identify some novel Newcomb problems, and subsequently use these problems to refine existing interventionist treatments of causal decision theory. The new Newcomb problems that make trouble for existing interventionist treatments involve so-called ‘exotic choice’—that is, decision-making contexts where the agent has evidence about the outcome of her choice. I argue that when choice is exotic, the interventionist can adequately capture causal decision-theoretic reasoning by introducing a new interventionist approach to updating on (...)
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  • Reversing 30 years of discussion: why causal decision theorists should one-box.Wolfgang Spohn - 2012 - Synthese 187 (1):95-122.
    The paper will show how one may rationalize one-boxing in Newcomb's problem and drinking the toxin in the Toxin puzzle within the confines of causal decision theory by ascending to so-called reflexive decision models which reflect how actions are caused by decision situations (beliefs, desires, and intentions) represented by ordinary unreflexive decision models.
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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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  • Rational monism and rational pluralism.Jack Spencer - 2020 - Philosophical Studies 178 (6):1769-1800.
    Consequentialists often assume rational monism: the thesis that options are always made rationally permissible by the maximization of the selfsame quantity. This essay argues that consequentialists should reject rational monism and instead accept rational pluralism: the thesis that, on different occasions, options are made rationally permissible by the maximization of different quantities. The essay then develops a systematic form of rational pluralism which, unlike its rivals, is capable of handling both the Newcomb problems that challenge evidential decision theory and the (...)
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  • Some versions of newcomb's problem are prisoners' dilemmas.Jordan Howard Sobel - 1991 - Synthese 86 (2):197 - 208.
    I have maintained that some but not all prisoners' dilemmas are side-by-side Necomb problems. The present paper argues that, similarly, some but not all versions of Newcomb's Problem are prisoners' dilemmas in which Taking Two and Predicting Two make an equilibrium that is dispreferred by both the box-chooser and predictor to the outcome in which only one box is taken and this is predicted. I comment on what kinds of prisoner's dilemmas Newcomb's Problem can be, and on opportunities that results (...)
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  • Notes on decision theory: Old wine in new bottles.Jordan Howard Sobel - 1986 - Australasian Journal of Philosophy 64 (4):407 – 437.
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  • Newcomblike Problems.Jordan Howard Sobel - 1990 - Midwest Studies in Philosophy 15 (1):224-255.
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  • Metatickles and Ratificationism.Jordan Howard Sobel - 1986 - PSA Proceedings of the Biennial Meeting of the Philosophy of Science Association 1986 (1):342-351.
    Responses to Newcomb-like challenges to evidential decision theories such as Jeffrey’s “logic of decision” range from allegations of incoherence and irrelevance; through stonewalling - “Just one box for me, thank you.“; to arguments that maintain that when properly applied by an ideal agent such theories get the right answers and, for example, prescribe the taking of both boxes, not just one; on to conservative revisions of evidential decision theories that are held to get these supposedly right answers while remaining true (...)
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  • Circumstances and dominance in a causal decision theory.Jordan Howard Sobel - 1985 - Synthese 63 (2):167 - 202.
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  • Deliberational equilibria.Brian Skyrms - 1986 - Topoi 5 (1):59-67.
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  • Causation, Chance and Credence: Proceedings of the Irvine Conference on Probability and Causation Volume 1.Brian Skyrms & William L. Harper (eds.) - 1988
    The papers collected here are, with three exceptions, those presented at a conference on probability and causation held at the University of California at Irvine on July 15-19, 1985. The exceptions are that David Freedman and Abner Shimony were not able to contribute the papers that they presented to this volume, and that Clark Glymour who was not able to attend the conference did contribute a paper. We would like to thank the National Science Foundation and the School of Humanities (...)
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  • Uncertainty and the difficulty of thinking through disjunctions.Eldar Shafir - 1994 - Cognition 50 (1-3):403-430.
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  • Rationality: A Third Dimension.Frederic Schick - 1987 - Economics and Philosophy 3 (1):49-66.
    I want in this paper to do two things. First, I want to respond to some studies that argue that people are often not rational: that people regularly and systematically depart from rationality. The conclusion itself does not worry me. I pressed for the same in a recent book. But the arguments seem to me wrong, and wrong in an interesting way. There may be something to be learned from seeing how and why they fail.
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  • Newcomb’s Problem and Repeated Prisoners’ Dilemmas.Christoph Schmidt-Petri - 2005 - Philosophy of Science 72 (5):1160-1173.
    I present a game-theoretic way to understand the situation describing Newcomb’s Problem (NP) which helps to explain the intuition of both one-boxers and two-boxers. David Lewis has shown that the NP may be modelled as a Prisoners Dilemma game (PD) in which ‘cooperating’ corresponds to ‘taking one box’. Adopting relevant results from game theory, this means that one should take just one box if the NP is repeated an indefinite number of times, but both boxes if it is a one-shot (...)
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  • Lost memories and useless coins: revisiting the absentminded driver.Wolfgang Schwarz - 2015 - Synthese 192 (9):3011-3036.
    The puzzle of the absentminded driver combines an unstable decision problem with a version of the Sleeping Beauty problem. Its analysis depends on the choice between “halfing” and “thirding” as well as that between “evidential” and “causal” decision theory. I show that all four combinations lead to interestingly different solutions, and draw some general lessons about the formulation of causal decision theory, the interpretation of mixed strategies and the connection between rational credence and objective chance.
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  • On a Causal Principle in an Argument for a Necessary Being.Noël Blas Saenz - 2022 - Analysis 82 (2):272-277.
    In Necessary Existence, Pruss and Rasmussen give an argument for a necessary being employing a modest causal principle. Here I note that, when applied to highly general and fundamental matters, the principle may well be false (or at least not so obvious).
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  • Dynamic consistency in the logic of decision.Gerard J. Rothfus - 2020 - Philosophical Studies 177 (12):3923-3934.
    Arif Ahmed has recently argued that causal decision theory is dynamically inconsistent and that we should therefore prefer evidential decision theory. However, the principal formulation of the evidential theory, Richard Jeffrey’s Logic of Decision, has a mixed record of its own when it comes to evaluating plans consistently across time. This note probes that neglected record, establishing the dynamic consistency of evidential decision theory within a restricted class of problems but then illustrating how evidentialists can fall into sequential incoherence outside (...)
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  • A plan-based causal decision theory.Gerard J. Rothfus - 2022 - Analysis 82 (2):264-272.
    In ‘An argument against causal decision theory’, Jack Spencer shows that standard formulations of causal decision theory run afoul of his Guaranteed Principle. In the sequential choice problem he employs to make this case, the transgression stems from an awkward discrepancy between how causalists typically value present vs future acts. This note suggests a version of causal decision theory that avoids this incongruity and so respects the Guaranteed Principle in Spencer’s problem. However, this formulation, and hence symmetric appraisal of present (...)
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  • Choice and conditional expected utility.Piers Rawling - 1993 - Synthese 94 (2):303 - 328.
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  • A New Anti-Expertise Dilemma.Thomas Raleigh - 2021 - Synthese (3-4):1-19.
    Instability occurs when the very fact of choosing one particular possible option rather than another affects the expected values of those possible options. In decision theory: An act is stable iff given that it is actually performed, its expected utility is maximal. When there is no stable choice available, the resulting instability can seem to pose a dilemma of practical rationality. A structurally very similar kind of instability, which occurs in cases of anti-expertise, can likewise seem to create dilemmas of (...)
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  • Ratificationism without ratification: Jeffrey meets Savage.Wlodzimierz Rabinowicz - 1985 - Theory and Decision 19 (2):171-200.
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  • Stable and retrievable options.Wlodzimierz Rabinowicz - 1989 - Philosophy of Science 56 (4):624-641.
    An option available to an agent is stable if it maximizes expected utility on the hypothetical assumption that the agent is going to choose it. As is well known, some decision problems lack a stable solution. Paul Weirich (1986 and 1988) has recently proposed a decision principle which prescribes that the option chosen should be at least weakly stable--or "weakly ratifiable", to use his terminology. According to him, full stability is an excessively strong demand. I shall argue that Weirich's proposal (...)
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  • Does practical deliberation crowd out self-prediction?Wlodek Rabinowicz - 2002 - Erkenntnis 57 (1):91-122.
    It is a popular view thatpractical deliberation excludes foreknowledge of one's choice. Wolfgang Spohn and Isaac Levi have argued that not even a purely probabilistic self-predictionis available to thedeliberator, if one takes subjective probabilities to be conceptually linked to betting rates. It makes no sense to have a betting rate for an option, for one's willingness to bet on the option depends on the net gain from the bet, in combination with the option's antecedent utility, rather than on the offered (...)
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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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  • Rational choice and action omnipotence.John L. Pollock - 2002 - Philosophical Review 111 (1):1-23.
    Counterexamples are constructed for the theory of rational choice that results from a direct application of classical decision theory to ordinary actions. These counterexamples turn on the fact that an agent may be unable to perform an action, and may even be unable to try to perform an action. An alternative theory of rational choice is proposed that evaluates actions using a more complex measure, and then it is shown that this is equivalent to applying classical decision theory to "conditional (...)
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  • Plans And Decisions.John L. Pollock - 2004 - Theory and Decision 57 (2):79-107.
    Counterexamples are constructed for classical decision theory, turning on the fact that actions must often be chosen in groups rather than individually, i.e., the objects of rational choice are plans. It is argued that there is no way to define optimality for plans that makes the finding of optimal plans the desideratum of rational decision-making. An alternative called “locally global planning” is proposed as a replacement for classical decision theory. Decision-making becomes a non-terminating process without a precise target rather than (...)
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  • A resource-bounded agent addresses the newcomb problem.John L. Pollock - 2010 - Synthese 176 (1):57-82.
    In the Newcomb problem, the standard arguments for taking either one box or both boxes adduce what seem to be relevant considerations, but they are not complete arguments, and attempts to complete the arguments rely upon incorrect principles of rational decision making. It is argued that by considering how the predictor is making his prediction, we can generate a more complete argument, and this in turn supports a form of causal decision theory.
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  • Tournament decision theory.Abelard Podgorski - 2020 - Noûs 56 (1):176-203.
    The dispute in philosophical decision theory between causalists and evidentialists remains unsettled. Many are attracted to the causal view’s endorsement of a species of dominance reasoning, and to the intuitive verdicts it gets on a range of cases with the structure of the infamous Newcomb’s Problem. But it also faces a rising wave of purported counterexamples and theoretical challenges. In this paper I will describe a novel decision theory which saves what is appealing about the causal view while avoiding its (...)
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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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  • Evil and God's Toxin Puzzle.John Pittard - 2016 - Noûs 50 (2):88-108.
    I show that Kavka's toxin puzzle raises a problem for the “Responsibility Theodicy,” which holds that the reason God typically does not intervene to stop the evil effects of our actions is that such intervention would undermine the possibility of our being significantly responsible for overcoming and averting evil. This prominent theodicy seems to require that God be able to do what the agent in Kavka's toxin story cannot do: stick by a plan to do some action at a future (...)
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  • Self-Subverting Principles of Choice.Michael Perkins & Donald C. Hubin - 1986 - Canadian Journal of Philosophy 16 (1):1 - 10.
    The thesis that rationality consists in the straight-forward maximization of utility has not lacked critics. Typically, however, detractors reject the Humean picture of rationality upon which it seems based; they seek to emancipate reason from the tyranny of the passions. It is, then, noteworthy when an attack on this thesis comes from ‘within the ranks.’David Gauthier's paper ‘Reason and Maximization’ is just such an attack; and for this reason, among others, it is interesting. It is not successful, though. In defense (...)
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  • Updating as Communication.Sarah Moss - 2012 - Philosophy and Phenomenological Research 85 (2):225-248.
    Traditional procedures for rational updating fail when it comes to self-locating opinions, such as your credences about where you are and what time it is. This paper develops an updating procedure for rational agents with self-locating beliefs. In short, I argue that rational updating can be factored into two steps. The first step uses information you recall from your previous self to form a hypothetical credence distribution, and the second step changes this hypothetical distribution to reflect information you have genuinely (...)
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  • Extracting Money from Causal Decision Theorists.Caspar Oesterheld & Vincent Conitzer - 2021 - Philosophical Quarterly 71 (4):pqaa086.
    Newcomb’s problem has spawned a debate about which variant of expected utility maximisation should guide rational choice. In this paper, we provide a new argument against what is probably the most popular variant: causal decision theory. In particular, we provide two scenarios in which CDT voluntarily loses money. In the first, an agent faces a single choice and following CDT’s recommendation yields a loss of money in expectation. The second scenario extends the first to a diachronic Dutch book against CDT.
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  • Approval-directed agency and the decision theory of Newcomb-like problems.Caspar Oesterheld - 2019 - Synthese 198 (Suppl 27):6491-6504.
    Decision theorists disagree about how instrumentally rational agents, i.e., agents trying to achieve some goal, should behave in so-called Newcomb-like problems, with the main contenders being causal and evidential decision theory. Since the main goal of artificial intelligence research is to create machines that make instrumentally rational decisions, the disagreement pertains to this field. In addition to the more philosophical question of what the right decision theory is, the goal of AI poses the question of how to implement any given (...)
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  • Two-Boxing is Irrational.Harold W. Noonan - 2015 - Philosophia 43 (2):455-462.
    Philosophers debate whether one-boxing or two-boxing is the rational act in a Newcomb situation. I shall argue that one-boxing is the only rational choice. This is so because there is no intelligible aim by reference to which you can justify the choice of two-boxing over one-boxing once you have come to think that you will two-box. The only aim by which the agent in the Newcomb situation can justify his two-boxing is the subjunctively described aim of ‘getting more than I (...)
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  • Relevance first: relocating similarity in counterfactual semantics.Cory Nichols - 2020 - Synthese 198 (11):10529-10564.
    The last several decades of research on counterfactual conditionals in the fields of philosophy and linguistics have yielded a predominant paradigm according to which the notion of similarity plays the starring role. Roughly, a counterfactual of the form A > C is true iff the closest A-worlds are all C-worlds, where the closeness of a world is a function of its similarity, in a certain sense, to the actual world. I argue that this is deeply misguided. In some cases we (...)
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  • Slote on rational dilemmas and rational supererogation.Joe Mintoff - 1997 - Erkenntnis 46 (1):111-126.
    The so-called optimising conception of rationality includes (amongst other things) the following two claims: (i) that it is irrational to choose an option if you know there is a better one, and (ii) there are no situations in which an agent, through no practical fault of her own, cannot avoid acting irrationally. As part of his ongoing attempt to explain why we need to go beyond the optimising conception, Michael Slote discusses a number of examples in which it seems that (...)
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  • Conditioning and intervening.Christopher Meek & Clark Glymour - 1994 - British Journal for the Philosophy of Science 45 (4):1001-1021.
    We consider the dispute between causal decision theorists and evidential decision theorists over Newcomb-like problems. We introduce a framework relating causation and directed graphs developed by Spirtes et al. (1993) and evaluate several arguments in this context. We argue that much of the debate between the two camps is misplaced; the disputes turn on the distinction between conditioning on an event E as against conditioning on an event I which is an action to bring about E. We give the essential (...)
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