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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: Vol.II: Epistemic and Social Applications. D. Reidel. pp. 125-162 (1978)

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  1. The Dr. Psycho Paradox and Newcomb’s Problem.Michael Clark & Nicholas Shackel - 2006 - Erkenntnis 64 (1):85 - 100.
    Nicholas Rescher claims that rational decision theory “may leave us in the lurch”, because there are two apparently acceptable ways of applying “the standard machinery of expected-value analysis” to his Dr. Psycho paradox which recommend contradictory actions. He detects a similar contradiction in Newcomb’s problem. We consider his claims from the point of view of both Bayesian decision theory and causal decision theory. In Dr. Psycho and in Newcomb’s Problem, Rescher has used premisses about probabilities which he assumes to be (...)
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  • Modus Ponens and the Logic of Decision.Nate Charlow - 2023 - Journal of Philosophical Logic 52 (3):859-888.
    If modus ponens is valid, then you should take up smoking.
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  • Decision-theoretic relativity in deontic modality.Nate Charlow - 2018 - Linguistics and Philosophy 41 (3):251-287.
    This paper explores the idea that a semantics for ‘ought’ should be neutral between different ways of deciding what an agent ought to do in a situation. While the idea is, I argue, well-motivated, taking it seriously leads to surprising, even paradoxical, problems for theorizing about the meaning of ‘ought’. This paper describes and defends one strategy—a form of Expressivism for the modal ‘ought’—for navigating these problems.
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  • Causation, Decision Theory, and Bell’s Theorem: A Quantum Analogue of the Newcomb Problem.Eric G. Cavalcanti - 2010 - British Journal for the Philosophy of Science 61 (3):569-597.
    I apply some of the lessons from quantum theory, in particular from Bell’s theorem, to a debate on the foundations of decision theory and causation. By tracing a formal analogy between the basic assumptions of causal decision theory (CDT)—which was developed partly in response to Newcomb’s problem— and those of a local hidden variable theory in the context of quantum mechanics, I show that an agent who acts according to CDT and gives any nonzero credence to some possible causal interpretations (...)
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  • The If P, Ought P Problem.Jennifer Carr - 2014 - Pacific Philosophical Quarterly 95 (4):555-583.
    Kratzer semantics for modals and conditionals generates the prediction that sentences of the form if p, ought p are trivially true. As Frank and Zvolenszky show, for certain flavors of modality, like deontic modality, this prediction is false. I explain some conservative solutions to the problem, and then argue that they are inadequate to account for puzzle cases involving self-frustrating oughts. These cases illustrate a general problem: there are two forms of information-sensitivity in deontic modals. Even generalizations of Kratzer semantics (...)
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  • (1 other version)Decision-theoretic finitely iterated prisoner's dilemmas.J. W. Carroll - 1999 - Analysis 59 (4):249-256.
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  • The Logic of Dominance Reasoning.John Cantwell - 2006 - Journal of Philosophical Logic 35 (1):41-63.
    The logic of dominance arguments is analyzed using two different kinds of conditionals: indicative (epistemic) and subjunctive (counter-factual). It is shown that on the indicative interpretation an assumption of independence is needed for a dominance argument to go through. It is also shown that on the subjunctive interpretation no assumption of independence is needed once the standard premises of the dominance argument are true, but that independence plays an important role in arguing for the truth of the premises of the (...)
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  • Conditionals in causal decision theory.John Cantwell - 2013 - Synthese 190 (4):661-679.
    This paper explores the possibility that causal decision theory can be formulated in terms of probabilities of conditionals. It is argued that a generalized Stalnaker semantics in combination with an underlying branching time structure not only provides the basis for a plausible account of the semantics of indicative conditionals, but also that the resulting conditionals have properties that make them well-suited as a basis for formulating causal decision theory. Decision theory (at least if we omit the frills) is not an (...)
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  • Belief and Indeterminacy.Michael Caie - 2012 - Philosophical Review 121 (1):1-54.
    An attractive approach to the semantic paradoxes holds that cases of semantic pathology give rise to indeterminacy. What attitude should a rational agent have toward a proposition that it takes to be indeterminate in this sense? Orthodoxy holds that rationality requires that an agent disbelieve such a proposition. I argue that a rational agent should be such that it is indeterminate whether it believes the proposition in question. For rational agents, indeterminacy in the objects of their attitudes will filter up (...)
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  • Unspecific Evidence and Normative Theories of Decision.Rhys Borchert - forthcoming - Episteme:1-23.
    The nature of evidence is a problem for epistemology, but I argue that this problem intersects with normative decision theory in a way that I think is underappreciated. Among some decision theorists, there is a presumption that one can always ignore the nature of evidence while theorizing about principles of rational choice. In slogan form: decision theory only cares about the credences agents actually have, not the credences they should have. I argue against this presumption. In particular, I argue that (...)
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  • The Material Conditional is Sufficient to Model Deliberation.Giacomo Bonanno - 2021 - Erkenntnis 88 (1):325-349.
    There is an ongoing debate in the philosophical literature whether the conditionals that are central to deliberation are subjunctive or indicative conditionals and, if the latter, what semantics of the indicative conditional is compatible with the role that conditionals play in deliberation. We propose a possible-world semantics where conditionals of the form “if I take action _a_ the outcome will be _x_” are interpreted as material conditionals. The proposed framework is illustrated with familiar examples and both qualitative and probabilistic beliefs (...)
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  • The Equivalence of Bayes and Causal Rationality in Games.Oliver Board - 2006 - Theory and Decision 61 (1):1-19.
    In a seminal paper, Aumann (1987, Econometrica 55, 1–18) showed how the choices of rational players could be analyzed in a unified state space framework. His innovation was to include the choices of the players in the description of the states, thus abolishing Savage’s (1954, The Foundations of Statistics. Wiley, New York) distinction between acts and consequences. But this simplification comes at a price: Aumann’s notion of Bayes rationality does not allow players to evaluate what would happen were they to (...)
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  • Wishing, Decision Theory, and Two-Dimensional Content.Kyle Blumberg - 2023 - Journal of Philosophy 120 (2):61-93.
    This paper is about two requirements on wish reports whose interaction motivates a novel semantics for these ascriptions. The first requirement concerns the ambiguities that arise when determiner phrases, such as definite descriptions, interact with ‘wish’. More specifically, several theorists have recently argued that attitude ascriptions featuring counterfactual attitude verbs license interpretations on which the determiner phrase is interpreted relative to the subject’s beliefs. The second requirement involves the fact that desire reports in general require decision-theoretic notions for their analysis. (...)
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  • Newcomb's paradox and compatibilism.Yemima Ben-Menahem - 1986 - Erkenntnis 25 (2):197 - 220.
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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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  • Richness and rationality: causal decision theory and the WAR argument.Adam Bales - 2018 - Synthese 195 (1):259-267.
    Causal decision theory is one of our most prominent theories of rational choice and the “why ain’cha rich?” argument is one of the most prominent objections to this theory. According to WAR, CDT is not an adequate theory of rational choice because it leads agents to make decisions that foreseeably leave them less well off than agents that decide in some other manner. Some philosophers take WAR to decisively undermine CDT. On the other hand, others take WAR to fail to (...)
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  • Newcomb’s Problem.Kent Bach - 1987 - Canadian Journal of Philosophy 17 (2):409-425.
    The more you think about it, the more baffling Newcomb's Problem becomes. To most people, at first it is obvious which solution is correct, but their confidence can be eroded easily. Only a puzzled few are torn between the two right from the start, and for years so was I. But at last, thanks to a certain metaargument, one solution came to seem obvious to me. And yet, imagining myself actually faced with Newcomb's choice, I started to worry that I (...)
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  • Actual value in decision theory.Andrew Bacon - 2022 - Analysis 82 (4):617-629.
    Decision theory is founded on the principle that we ought to take the action that has the maximum expected value from among actions we are in a position to take. But prior to the notion of expected value is the notion of the actual value of that action: roughly, a measure of the good outcomes you would in fact procure if you were to take it. Surprisingly many decision theories operate without an analysis of actual value. I offer a definition (...)
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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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  • Bayesianism, Infinite Decisions, and Binding.Frank Arntzenius, Adam Elga & John Hawthorne - 2004 - Mind 113 (450):251 - 283.
    We pose and resolve several vexing decision theoretic puzzles. Some are variants of existing puzzles, such as 'Trumped' (Arntzenius and McCarthy 1997), 'Rouble trouble' (Arntzenius and Barrett 1999), 'The airtight Dutch book' (McGee 1999), and 'The two envelopes puzzle' (Broome 1995). Others are new. A unified resolution of the puzzles shows that Dutch book arguments have no force in infinite cases. It thereby provides evidence that reasonable utility functions may be unbounded and that reasonable credence functions need not be countably (...)
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  • A foundation for causal decision theory.Brad Armendt - 1986 - Topoi 5 (1):3-19.
    The primary aim of this paper is the presentation of a foundation for causal decision theory. This is worth doing because causal decision theory (CDT) is philosophically the most adequate rational decision theory now available. I will not defend that claim here by elaborate comparison of the theory with all its competitors, but by providing the foundation. This puts the theory on an equal footing with competitors for which foundations have already been given. It turns out that it will also (...)
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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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  • Infallibility in the Newcomb Problem.Arif Ahmed - 2015 - Erkenntnis 80 (2):261-273.
    It is intuitively attractive to think that it makes a difference in Newcomb’s problem whether or not the predictor is infallible, in the sense of being certainly actually correct. This paper argues that that view is irrational and manifests a well-documented cognitive illusion.
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  • Evidential decision theory and medical newcomb problems.Arif Ahmed - 2005 - British Journal for the Philosophy of Science 56 (2):191-198.
    has offered evidential decision theorists a defence against the charge that they make unintuitive recommendations for cases like Newcomb's Problem. He says that when conditional probabilities are assessed from the agent's point of view, evidential decision theory makes the same recommendation as intuition. I argue that calculating the probabilities in Price's way leads to no recommendation. It condemns the agent to perpetual oscillation between different options. Price's Argument Instability Objections Conclusion.
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  • Dicing with death.Arif Ahmed - 2014 - Analysis 74 (4):587-592.
    You should rather play hide-and-seek against someone who cannot predict where you hide than against someone who can, as the article illustrates in connection with a high-stakes example. Causal Decision Theory denies this. So Causal Decision Theory is false.
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  • Causation and Decision.Arif Ahmed - 2010 - Proceedings of the Aristotelian Society 110 (2pt2):111-131.
    Sophisticated ‘tickle’-style defences of Evidential Decision Theory take your motivational state to screen off your act from any state that is causally independent of it, thus ensuring that EDT and CDT converge. That leads to unacceptable instability in cases in which the correct action is obvious. We need a more liberal conception of what the agent controls. It follows that an ordinary deliberator should sometimes consider the past and not only the future to be subject to her present choice.
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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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  • Causal Decision Theory and EPR correlations.Arif Ahmed & Adam Caulton - 2014 - Synthese 191 (18):4315-4352.
    The paper argues that on three out of eight possible hypotheses about the EPR experiment we can construct novel and realistic decision problems on which (a) Causal Decision Theory and Evidential Decision Theory conflict (b) Causal Decision Theory and the EPR statistics conflict. We infer that anyone who fully accepts any of these three hypotheses has strong reasons to reject Causal Decision Theory. Finally, we extend the original construction to show that anyone who gives any of the three hypotheses any (...)
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  • Arntzenius on ‘Why ain’cha rich?’.Arif Ahmed & Huw Price - 2012 - Erkenntnis 77 (1):15-30.
    The best-known argument for Evidential Decision Theory (EDT) is the ‘Why ain’cha rich?’ challenge to rival Causal Decision Theory (CDT). The basis for this challenge is that in Newcomb-like situations, acts that conform to EDT may be known in advance to have the better return than acts that conform to CDT. Frank Arntzenius has recently proposed an ingenious counter argument, based on an example in which, he claims, it is predictable in advance that acts that conform to EDT will do (...)
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  • Probability and the Art of Judgement.Ernest W. Adams & Richard Jeffrey - 1993 - Journal of Philosophy 90 (3):154.
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  • Applying the Jeffrey decision model to rational betting and information acquisition.Ernest W. Adams & Roger D. Rosenkrantz - 1980 - Theory and Decision 12 (1):1-20.
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  • Structural Decision Theory.Tung-Ying Wu - 2021 - Philosophy of Science 88 (5):951-960.
    Judging an act’s causal efficacy plays a crucial role in causal decision theory. A recent development appeals to the causal modeling framework with an emphasis on the analysis of intervention based on the causal Bayes net for clarifying what causally depends on our acts. However, few writers have focused on exploring the usefulness of extending structural causal models to decision problems that are not ideal for intervention analysis. The thesis concludes that structural models provide a more general framework for rational (...)
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  • The lesson of Newcomb’s paradox.David H. Wolpert & Gregory Benford - 2013 - Synthese 190 (9):1637-1646.
    In Newcomb’s paradox you can choose to receive either the contents of a particular closed box, or the contents of both that closed box and another one. Before you choose though, an antagonist uses a prediction algorithm to accurately deduce your choice, and uses that deduction to fill the two boxes. The way they do this guarantees that you made the wrong choice. Newcomb’s paradox is that game theory’s expected utility and dominance principles appear to provide conflicting recommendations for what (...)
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  • Causal Decision Theory is Safe from Psychopaths.Timothy Luke Williamson - 2019 - Erkenntnis 86 (3):665-685.
    Until recently, many philosophers took Causal Decision Theory to be more successful than its rival, Evidential Decision Theory. Things have changed, however, with a renewed concern that cases involving an extreme form of decision instability are counterexamples to CDT :392–403, 1984; Egan in Philos Rev 116:93–114, 2007). Most prominent among those cases of extreme decision instability is the Psychopath Button, due to Andy Egan; in that case, CDT recommends a seemingly absurd act that almost certainly results in your death. This (...)
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  • Administrative Decision Making in Response to Sudden Health Care Agency Funding Reductions: is there a role for ethics?Donna M. Wilson - 1998 - Nursing Ethics 5 (4):319-329.
    In October 1993, a survey of health care agency administrators was undertaken shortly after they had experienced two sudden reductions in public funding. The purpose of this investigation was to gain insight into the role of ethics in health administrator decision making. A mail questionnaire was designed for this purpose. Descriptive statistics and content analysis were used to summarize the data. Staff reductions and bed closures were the two most frequently reported mechanisms for addressing the funding reductions. Most administrators did (...)
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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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  • Evidence and rationalization.Ian Wells - 2020 - Philosophical Studies 177 (3):845-864.
    Suppose that you have to take a test tomorrow but you do not want to study. Unfortunately you should study, since you care about passing and you expect to pass only if you study. Is there anything you can do to make it the case that you should not study? Is there any way for you to ‘rationalize’ slacking off? I suggest that such rationalization is impossible. Then I show that if evidential decision theory is true, rationalization is not only (...)
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  • Risk as a Consequence.Paul Weirich - 2020 - Topoi 39 (2):293-303.
    Expected-utility theory advances representation theorems that do not take the risk an act generates as a consequence of the act. However, a principle of expected-utility maximization that explains the rationality of preferences among acts must, for normative accuracy, take the act’s risk as a consequence of the act if the agent cares about the risk. I defend this conclusion against the charge that taking an act’s consequences to comprehend all the agent cares about trivializes the principle of expected-utility maximization.
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  • Psychological determinism and rationality.Ruth Weintraub - 1995 - Erkenntnis 43 (1):67-79.
    There are arguments which purport to rebut psychological determinism by appealing to its alleged incompatibility with rationality. I argue that they all fail. Against Davidson, I argue that rationality does not preclude the existence of psychological laws. Against Popper, I argue that rationality is compatible with the possibility of predicting human actions. Against Schlesinger, I claim that Newcomb's problem cannot be invoked to show that human actions are unpredictable. Having vindicated the possibility of a rationally-based theory of action, I consider (...)
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  • 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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  • 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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  • (1 other version)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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  • 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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