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Decision Theory

In Peter Adamson (ed.), Stanford Encyclopedia of Philosophy. Stanford Encyclopedia of Philosophy (2012)

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  1. The ambiguity aversion literature: A critical assessment.Nabil I. Al-Najjar - 2009 - Economics and Philosophy 25 (3):249-284.
    We provide a critical assessment of the ambiguity aversion literature, which we characterize in terms of the view that Ellsberg choices are rational responses to ambiguity, to be explained by relaxing Savage's Sure-Thing principle and adding an ambiguity-aversion postulate. First, admitting Ellsberg choices as rational leads to behaviour, such as sensitivity to irrelevant sunk cost, or aversion to information, which most economists would consider absurd or irrational. Second, we argue that the mathematical objects referred to as “beliefs” in the ambiguity (...)
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  • Outlines of a formal theory of value, I.Donald Davidson, J. C. C. McKinsey & Patrick Suppes - 1955 - Philosophy of Science 22 (2):140-160.
    Contemporary philosophers interested in value theory appear to be largely concerned with questions of the following sort:What is value?What is the meaning of the word ‘good’?Does the attribution of value to an object have a cognitive, or merely an emotive, significance?The first question is metaphysical; to ask it is analogous to asking in physics:What is matter?What is electricity?The others are generally treated as semantical questions; to ask them is analogous to asking in statistics:What is the meaning of the word ‘probable’?Does (...)
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  • The possibility of parity.Ruth Chang - 2002 - Ethics 112 (4):659-688.
    This paper argues for the existence of a fourth positive generic value relation that can hold between two items beyond ‘better than’, ‘worse than’, and ‘equally good’: namely ‘on a par’.
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  • David Hume, David Lewis, and decision theory.Alex Byrne & Alan Hájek - 1997 - Mind 106 (423):411-728.
    David Lewis claims that a simple sort of anti-Humeanism-that the rational agent desires something to the extent he believes it to be good-can be given a decision-theoretic formulation, which Lewis calls 'Desire as Belief' (DAB). Given the (widely held) assumption that Jeffrey conditionalising is a rationally permissible way to change one's mind in the face of new evidence, Lewis proves that DAB leads to absurdity. Thus, according to Lewis, the simple form of anti-Humeanism stands refuted. In this paper we investigate (...)
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  • Instrumental rationality, epistemic rationality, and evidence-gathering.Lara Buchak - 2010 - Philosophical Perspectives 24 (1):85-120.
    This paper addresses the question of whether gathering additional evidence is always rationally required, both from the point of view of instrumental rationality and of epistemic rationality. It is shown that in certain situations, it is not instrumentally rational to look for more evidence before making a decision. These are situations in which the risk of “misleading” evidence – a concept that has both instrumental and epistemic senses – is not offset by the gains from the possibility of non-misleading evidence. (...)
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  • Desire, belief and expectation.John Broome - 1991 - Mind 100 (2):265-267.
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  • Consequentialize This.Campbell Brown - 2011 - Ethics 121 (4):749-771.
    To 'consequentialise' is to take a putatively non-consequentialist moral theory and show that it is actually just another form of consequentialism. Some have speculated that every moral theory can be consequentialised. If this were so, then consequentialism would be empty; it would have no substantive content. As I argue here, however, this is not so. Beginning with the core consequentialist commitment to 'maximising the good', I formulate a precise definition of consequentialism and demonstrate that, given this definition, several sorts of (...)
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  • Desire, Expectation, and Invariance.Richard Bradley & H. Orii Stefansson - 2016 - Mind 125 (499):691-725.
    The Desire-as-Belief thesis (DAB) states that any rational person desires a proposition exactly to the degree that she believes or expects the proposition to be good. Many people take David Lewis to have shown the thesis to be inconsistent with Bayesian decision theory. However, as we show, Lewis's argument was based on an Invariance condition that itself is inconsistent with the (standard formulation of the) version of Bayesian decision theory that he assumed in his arguments against DAB. The aim of (...)
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  • Can free evidence be bad? Value of informationfor the imprecise probabilist.Seamus Bradley & Katie Steele - 2016 - Philosophy of Science 83 (1):1-28.
    This paper considers a puzzling conflict between two positions that are each compelling: it is irrational for an agent to pay to avoid `free' evidence before making a decision, and rational agents may have imprecise beliefs and/or desires. Indeed, we show that Good's theorem concerning the invariable choice-worthiness of free evidence does not generalise to the imprecise realm, given the plausible existing decision theories for handling imprecision. A key ingredient in the analysis, and a potential source of controversy, is the (...)
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  • Counterfactual Desirability.Richard Bradley & H. Orii Stefansson - 2017 - British Journal for the Philosophy of Science 68 (2):485-533.
    The desirability of what actually occurs is often influenced by what could have been. Preferences based on such value dependencies between actual and counterfactual outcomes generate a class of problems for orthodox decision theory, the best-known perhaps being the so-called Allais Paradox. In this paper we solve these problems by extending Richard Jeffrey's decision theory to counterfactual prospects, using a multidimensional possible-world semantics for conditionals, and showing that preferences that are sensitive to counterfactual considerations can still be desirability maximising. We (...)
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  • A unified Bayesian decision theory.Richard Bradley - 2007 - Theory and Decision 63 (3):233-263,.
    This paper provides new foundations for Bayesian Decision Theory based on a representation theorem for preferences defined on a set of prospects containing both factual and conditional possibilities. This use of a rich set of prospects not only provides a framework within which the main theoretical claims of Savage, Ramsey, Jeffrey and others can be stated and compared, but also allows for the postulation of an extended Bayesian model of rational belief and desire from which they can be derived as (...)
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  • A representation theorem for a decision theory with conditionals.Richard Bradley - 1998 - Synthese 116 (2):187-229.
    This paper investigates the role of conditionals in hypothetical reasoning and rational decision making. Its main result is a proof of a representation theorem for preferences defined on sets of sentences (and, in particular, conditional sentences), where an agent’s preference for one sentence over another is understood to be a preference for receiving the news conveyed by the former. The theorem shows that a rational preference ordering of conditional sentences determines probability and desirability representations of the agent’s degrees of belief (...)
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  • A simultaneous axiomatization of utility and subjective probability.Ethan D. Bolker - 1967 - Philosophy of Science 34 (4):333-340.
    This paper contributes to the mathematical foundations of the model for utility theory developed by Richard Jeffrey in The Logic of Decision [5]. In it I discuss the relationship of Jeffrey's to classical models, state and interpret an existence theorem for numerical utilities and subjective probabilities and restate a theorem on their uniqueness.
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  • Desire Beyond Belief.Philip Pettit & Alan Hájek - 2004 - Australasian Journal of Philosophy 82 (1):77-92.
    David Lewis [1988; 1996] canvases an anti-Humean thesis about mental states: that the rational agent desires something to the extent that he or she believes it to be good. Lewis offers and refutes a decision-theoretic formulation of it, the 'Desire-as-Belief Thesis'. Other authors have since added further negative results in the spirit of Lewis's. We explore ways of being anti-Humean that evade all these negative results. We begin by providing background on evidential decision theory and on Lewis's negative results. We (...)
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  • Inquiry.Robert C. Stalnaker - 1984 - Cambridge University Press.
    The abstract structure of inquiry - the process of acquiring and changing beliefs about the world - is the focus of this book which takes the position that the "pragmatic" rather than the "linguistic" approach better solves the philosophical problems about the nature of mental representation, and better accounts for the phenomena of thought and speech. It discusses propositions and propositional attitudes (the cluster of activities that constitute inquiry) in general and takes up the way beliefs change in response to (...)
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  • Policymaking under scientific uncertainty.Joe Roussos - 2020 - Dissertation, London School of Economics
    Policymakers who seek to make scientifically informed decisions are constantly confronted by scientific uncertainty and expert disagreement. This thesis asks: how can policymakers rationally respond to expert disagreement and scientific uncertainty? This is a work of non-ideal theory, which applies formal philosophical tools developed by ideal theorists to more realistic cases of policymaking under scientific uncertainty. I start with Bayesian approaches to expert testimony and the problem of expert disagreement, arguing that two popular approaches— supra-Bayesianism and the standard model of (...)
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  • Decision Theory.Lara Buchak - 2016 - In Alan Hájek & Christopher Hitchcock (eds.), The Oxford Handbook of Probability and Philosophy. Oxford: Oxford University Press.
    Decision theory has at its core a set of mathematical theorems that connect rational preferences to functions with certain structural properties. The components of these theorems, as well as their bearing on questions surrounding rationality, can be interpreted in a variety of ways. Philosophy’s current interest in decision theory represents a convergence of two very different lines of thought, one concerned with the question of how one ought to act, and the other concerned with the question of what action consists (...)
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  • Statistical Reasoning with Imprecise Probabilities.Peter Walley - 1991 - Chapman & Hall.
    An examination of topics involved in statistical reasoning with imprecise probabilities. The book discusses assessment and elicitation, extensions, envelopes and decisions, the importance of imprecision, conditional previsions and coherent statistical models.
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  • Risk, Uncertainty and Profit.Frank H. Knight - 1921 - University of Chicago Press.
    Role of the entrepreneur in a distinct role of profit.
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  • The Foundations of Mathematics and Other Logical Essays.Frank Plumpton Ramsey - 1925 - London, England: Routledge & Kegan Paul. Edited by R. B. Braithwaite.
    First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
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  • Decisions with Multiple Objectives.Ralph Keeney & Howard Raiffa - 1976 - New York: Wiley.
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  • Beyond Uncertainty: Reasoning with Unknown Possibilities.Katie Steele & H. Orri Stefánsson - 2021 - Cambridge University Press.
    The main aim of this book is to introduce the topic of limited awareness, and changes in awareness, to those interested in the philosophy of decision-making and uncertain reasoning.
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  • Theory of Games and Economic Behavior.John Von Neumann & Oskar Morgenstern - 1944 - Princeton, NJ, USA: Princeton University Press.
    This is the classic work upon which modern-day game theory is based. What began as a modest proposal that a mathematician and an economist write a short paper together blossomed, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry (...)
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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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  • Representation theorems and realism about degrees of belief.Lyle Zynda - 2000 - Philosophy of Science 67 (1):45-69.
    The representation theorems of expected utility theory show that having certain types of preferences is both necessary and sufficient for being representable as having subjective probabilities. However, unless the expected utility framework is simply assumed, such preferences are also consistent with being representable as having degrees of belief that do not obey the laws of probability. This fact shows that being representable as having subjective probabilities is not necessarily the same as having subjective probabilities. Probabilism can be defended on the (...)
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  • A unificationist defence of revealed preferences.Kate Vredenburgh - 2020 - Economics and Philosophy 36 (1):149-169.
    Revealed preference approaches to modelling agents’ choices face two seemingly devastating explanatory objections. The no self-explanation objection imputes a problematic explanatory circularity to revealed preference approaches, while the causal explanation objection argues that, all things equal, a scientific theory should provide causal explanations, but revealed preference approaches decidedly do not. Both objections assume a view of explanation, the constraint-based view, that the revealed preference theorist ought to reject. Instead, the revealed preference theorist should adopt a unificationist account of explanation, allowing (...)
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  • Instrumental Rationality Without Separability.Johanna Thoma - 2020 - Erkenntnis 85 (5):1219-1240.
    This paper argues that instrumental rationality is more permissive than expected utility theory. The most compelling instrumentalist argument in favour of separability, its core requirement, is that agents with non-separable preferences end up badly off by their own lights in some dynamic choice problems. I argue that once we focus on the question of whether agents’ attitudes to uncertain prospects help define their ends in their own right, or instead only assign instrumental value in virtue of the outcomes they may (...)
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  • In Defence of Revealed Preference Theory.Johanna Thoma - 2021 - Economics and Philosophy 37 (2):163-187.
    This paper defends revealed preference theory against a pervasive line of criticism, according to which revealed preference methodology relies on appealing to some mental states, in particular an agent’s beliefs, rendering the project incoherent or unmotivated. I argue that all that is established by these arguments is that revealed preference theorists must accept a limited mentalism in their account of the options an agent should be modelled as choosing between. This is consistent both with an essentially behavioural interpretation of preference (...)
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  • Rejoinder.Teddy Seidenfeld - 1988 - Economics and Philosophy 4 (2):309.
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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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  • What are the minimal requirements of rational choice? Arguments from the sequential-decision setting.Katie Siobhan Steele - 2010 - Theory and Decision 68 (4):463-487.
    There are at least two plausible generalisations of subjective expected utility (SEU) theory: cumulative prospect theory (which relaxes the independence axiom) and Levi’s decision theory (which relaxes at least ordering). These theories call for a re-assessment of the minimal requirements of rational choice. Here, I consider how an analysis of sequential decision making contributes to this assessment. I criticise Hammond’s (Economica 44(176):337–350, 1977; Econ Philos 4:292–297, 1988a; Risk, decision and rationality, 1988b; Theory Decis 25:25–78, 1988c) ‘consequentialist’ argument for the SEU (...)
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  • Desires, beliefs and conditional desirability.H. Orri Stefánsson - 2014 - Synthese 191 (16):4019-4035.
    Does the desirability of a proposition depend on whether it is true? Not according to the Invariance assumption, held by several notable philosophers. The Invariance assumption plays an important role in David Lewis’ famous arguments against the so-called Desire-as-Belief thesis (DAB), an anti-Humean thesis according to which a rational agent desires a proposition exactly to the degree that she believes the proposition to be desirable. But the assumption is of interest independently of Lewis’ arguments, for instance since both Richard Jeffrey (...)
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  • A mistake in dynamic coherence arguments?Brian Skyrms - 1993 - Philosophy of Science 60 (2):320-328.
    Maher (1992b) advances an objection to dynamic Dutch-book arguments, partly inspired by the discussion in Levi (1987; in particular by Levi's case 2, p. 204). Informally, the objection is that the decision maker will "see the dutch book coming" and consequently refuse to bet, thus escaping the Dutch book. Maher makes this explicit by modeling the decision maker's choices as a sequential decision problem. On this basis he claims that there is a mistake in dynamic coherence arguments. There is really (...)
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  • The Independence Postulate, Hypothetical and Called-off Acts: a further reply to Rabinowicz. [REVIEW]Teddy Seidenfeld - 2000 - Theory and Decision 48 (4):319-322.
    The Independence postulate links current preferences between called-off acts with current preferences between constant acts. Under the assumption that the chance-events used in compound von Neumann-Morgenstern lotteries are value-neutral, current preferences between these constant acts are linked to current preferences between hypothetical acts, conditioned by those chance events. Under an assumption of stability of preferences over time, current preferences between these hypothetical acts are linked to future preferences between what are then and there constant acts. Here, I show that a (...)
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  • Substitution of indifferent options at choice nodes and admissibility: a reply to Rabinowicz.Teddy Seidenfeld - 2000 - Theory and Decision 48 (4):305-310.
    Tiebreak rules are necessary for revealing indifference in non- sequential decisions. I focus on a preference relation that satisfies Ordering and fails Independence in the following way. Lotteries a and b are indifferent but the compound lottery f, 0.5b> is strictly preferred to the compound lottery f, 0.5a>. Using tiebreak rules the following is shown here: In sequential decisions when backward induction is applied, a preference like the one just described must alter the preference relation between a and b at (...)
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  • No Exception for Belief.Susanna Rinard - 2017 - Philosophy and Phenomenological Research 94 (1):121-143.
    This paper defends a principle I call Equal Treatment, according to which the rationality of a belief is determined in precisely the same way as the rationality of any other state. For example, if wearing a raincoat is rational just in case doing so maximizes expected value, then believing some proposition P is rational just in case doing so maximizes expected value. This contrasts with the popular view that the rationality of belief is determined by evidential support. It also contrasts (...)
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  • Choices: An Introduction to Decision Theory.Michael D. Resnik - 1987 - Univ of Minnesota Press.
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  • Weight or the value of knowledge.F. P. Ramsey - 1990 - British Journal for the Philosophy of Science 41 (1):1-4.
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  • Preference stability and substitution of indifferents: a rejoinder to Seidenfeld.Wlodek Rabinowicz - 2000 - Theory and Decision 48 (4):311-318.
    Seidenfeld (Seidenfeld, T. [1988a], Decision theory without 'Independence' or without 'Ordering', Economics and Philosophy 4: 267-290) gave an argument for Independence based on a supposition that admissibility of a sequential option is preserved under substitution of indifferents at choice nodes (S). To avoid a natural complaint that (S) begs the question against a critic of Independence, he provided an independent proof of (S) in his (Seidenfeld, T. [1988b], Rejoinder [to Hammond and McClennen], Economics and Philosophy 4: 309-315). In reply to (...)
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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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  • Consequentializing moral theories.Douglas W. Portmore - 2007 - Pacific Philosophical Quarterly 88 (1):39–73.
    To consequentialize a non-consequentialist theory, take whatever considerations that the non-consequentialist theory holds to be relevant to determining the deontic statuses of actions and insist that those considerations are relevant to determining the proper ranking of outcomes. In this way, the consequentialist can produce an ordering of outcomes that when combined with her criterion of rightness yields the same set of deontic verdicts that the non-consequentialist theory yields. In this paper, I argue that any plausible non-consequentialist theory can be consequentialized. (...)
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  • Gimmicky representations of moral theories.Peter Vallentyne - 1988 - Metaphilosophy 19 (3-4):253-263.
    The teleological/deontological distinction is generally considered to be the fundamental classificatory distinction for ethics. I have argued elsewhere (Vallentyne forthcoming (a), and Ch.2 of Vallentyne 1984) that the distinction is ill understood and not as important as is generally supposed. Some authors have advocated a moral radical thesis. Oldenquist (1966) and Piper (1982) have both argued that the purported distinction is a pseudo distinction in that any theory can be represented both as teleological and as deontological. Smart (1973, p.13, and (...)
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  • Ordering and Independence.Edward F. McClennen - 1988 - Economics and Philosophy 4 (2):298-308.
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  • Modelling the Moral Dimension of Decisions.Mark Colyvan, Damian Cox & Katie Siobhan Steele - 2010 - Noûs 44 (3):503-529.
    In this paper we explore the connections between ethics and decision theory. In particular, we consider the question of whether decision theory carries with it a bias towards consequentialist ethical theories. We argue that there are plausible versions of the other ethical theories that can be accommodated by “standard” decision theory, but there are also variations of these ethical theories that are less easily accommodated. So while “standard” decision theory is not exclusively consequentialist, it is not necessarily ethically neutral. Moreover, (...)
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  • Diachronic rationality.Patrick Maher - 1992 - Philosophy of Science 59 (1):120-141.
    This is an essay in the Bayesian theory of how opinions should be revised over time. It begins with a discussion of the principle that van Fraassen has dubbed "Reflection". This principle is not a requirement of rationality; a diachronic Dutch argument, that purports to show the contrary, is fallacious. But under suitable conditions, it is irrational to actually implement shifts in probability that violate Reflection. Conditionalization and probability kinematics are special cases of the principle not to implement shifts that (...)
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  • Awareness growth and dispositional attitudes.Anna Mahtani - 2020 - Synthese 198 (9):8981-8997.
    Richard Bradley and others endorse Reverse Bayesianism as the way to model awareness growth. I raise a problem for Reverse Bayesianism—at least for the general version that Bradley endorses—and argue that there is no plausible way to restrict the principle that will give us the right results. To get the right results, we need to pay attention to the attitudes that agents have towards propositions of which they are unaware. This raises more general questions about how awareness growth should be (...)
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  • Relativity of value and the consequentialist umbrella.Jennie Louise - 2004 - Philosophical Quarterly 54 (217):518–536.
    Does the real difference between non-consequentialist and consequentialist theories lie in their approach to value? Non-consequentialist theories are thought either to allow a different kind of value (namely, agent-relative value) or to advocate a different response to value ('honouring' rather than 'promoting'). One objection to this idea implies that all normative theories are describable as consequentialist. But then the distinction between honouring and promoting collapses into the distinction between relative and neutral value. A proper description of non-consequentialist theories can only (...)
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  • Reason-based choice and context-dependence: An explanatory framework.Franz Dietrich & Christian List - 2016 - Economics and Philosophy 32 (2):175-229.
    We introduce a “reason-based” framework for explaining and predicting individual choices. It captures the idea that a decision-maker focuses on some but not all properties of the options and chooses an option whose motivationally salient properties he/she most prefers. Reason-based explanations allow us to distinguish between two kinds of context-dependent choice: the motivationally salient properties may (i) vary across choice contexts, and (ii) include not only “intrinsic” properties of the options, but also “context-related” properties. Our framework can accommodate boundedly rational (...)
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  • Mentalism versus Behaviourism in Economics: A Philosophy-of-Science Perspective.Franz Dietrich & Christian List - 2016 - Economics and Philosophy 32 (2):249-281.
    Behaviourism is the view that preferences, beliefs, and other mental states in social-scientific theories are nothing but constructs re-describing people's behaviour. Mentalism is the view that they capture real phenomena, on a par with the unobservables in science, such as electrons and electromagnetic fields. While behaviourism has gone out of fashion in psychology, it remains influential in economics, especially in ‘revealed preference’ theory. We defend mentalism in economics, construed as a positive science, and show that it fits best scientific practice. (...)
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  • Desire as belief II.David K. Lewis - 1996 - Mind 105 (418):303-13.
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