In this chapter I examine how expected-value theory might inform responses to what I call the dual-use problem. I begin by defining that problem. I then outline a procedure, which invokes expected-value theory, for tackling it. I first illustrate the procedure with the aid of a simplified schematic example of a dual-use problem, and then describe how it might also guide responses to more complex real-world cases. I outline some attractive features of the procedure. Finally, I (...) consider whether and how the procedure might be amended to accommodate various criticisms of it. (shrink)

The topic of this thesis is axiological uncertainty – the question of how you should evaluate your options if you are uncertain about which axiology is true. As an answer, I defend Expected Value Maximisation (EVM), the view that one option is better than another if and only if it has the greater expected value across axiologies. More precisely, I explore the axiomatic foundations of this view. I employ results from state-dependent utility theory, extend them in (...) various ways and interpret them accordingly, and thus provide axiomatisations of EVM as a theory of axiological uncertainty. (shrink)

The objective of the study was to develop a structural model that explores the relationship between Mathematics Performance and students’ self-regulated learning skills, grit, and expectancy-value towards science, technology, engineering and mathematics (STEM). The research collected survey data from 664 senior high school students from 17 STEM high schools, and conducted a covariance-based structural equation modeling (SEM) analysis. The results of the SEM analysis indicate that the Re-specified Self-Regulated Learning Skill – Expectancy-Value towards STEM – Grit – Mathematics (...) Performance (Re-specified SRL-EV-GR-MP) model is the most parsimonious fit, offering the best empirical support for the theoretical model of the study. The research findings suggest that the mathematics performance of senior high school students in STEM curriculum is attributed to their high expectancies for success and perceived values of the STEM tasks, high grit, and high self-regulated learning skills. Moreover, the research also observed evidence of mediating and moderating grit effects in the concurrent effects of expectancy-values towards STEM and self-regulated learning skills towards students’ mathematics performance. (shrink)

Vague subjective probability may be modeled by means of a set of probability functions, so that the represented opinion has only a lower and upper bound. The standard rule of conditionalization can be straightforwardly adapted to this. But this combination has difficulties which, though well known in the technical literature, have not been given sufficient attention in probabilist or Bayesian epistemology. Specifically, updating on apparently irrelevant bits of news can be destructive of one’s explicitly prior expectations. Stability of vague subjective (...) opinion appears to need a more complex model. (shrink)

The general question of defining the expectation value of an operator for a fixed value of another noncommuting observable is considered and explicit expressions are derived. Due to the noncommutivity of operators a unique definition is not possible, and we consider different possible expressions. Special cases which have previously been considered in the literature are shown to be derivable from the methods presented.

A proposed 4-space Dirac theory requires modified definitions of expected value and Hermitian operator, because the charge density is not positive definite. However, this does not imply negative probability.

For relativistic particles with spin 1/2, which are described by the Dirac equation, a semiclassical trace formula is introduced that incorporates expectation values of observables in eigenstates of the Dirac-Hamiltonian. Furthermore, the semiclassical limit of an average of expectation values is expressed in terms of a classical average of the corresponding classical observable.

Many researchers are currently showing interest in researching consumers who are purchasing the products with the help of new tools, and new kinds of markets are emerging rapidly. M-commerce is a prevalent mode of marketing and is famous among young people of Pakistan. Current research is planned to check the status of consumer purchase intentions (PIs) using perceived influence, virtual interactivity, brand image, and brand expected value among customers who purchase their products with the help of m-commerce. Data (...) was collected from customers who were engaged in buying with the help of m-commerce by using the convenience sampling technique and 227 complete questionnaires were used in final analysis. This research examines the direct impact of perceived influence, virtual interactivity, brand image, and brand expected value on PIs and finds the indirect effect of brand image and brand expected value on the relationships of perceived influence and virtual interactivity with PIs. Results indicate that all the hypotheses of direct relationships are accepted except the hypothesis for the relation of virtual interactivity with consumer PIs. Virtual interactivity has an insignificant positive impact on consumer PIs. Brand expected value has a strong positive effect on consumer PIs among all. The current study proposed four mediational hypotheses. All the proposed mediational hypotheses are accepted. (shrink)

ABSTRACT: Meno’s Thesis—the idea that knowing something is better than merely having a true belief about it—is incompatible with the joint claims that believing the truth is the sole source of the value of knowledge and true belief and knowledge are equally successful in believing the truth. Recent answers to that so-called “swamping” problem reject either or. This paper rejects Meno’s Thesis instead, as relying on a confusion between expected value and value proper. The proposed solution (...) relies on an externalist view of rationality, which is presented. View HTML Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.The Value and Expected Value of KnowledgeVolume 51, Issue 1Julien Dutant DOI: https://doi.org/10.1017/S0012217312000285Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. The Value and Expected Value of KnowledgeVolume 51, Issue 1Julien Dutant DOI: https://doi.org/10.1017/S0012217312000285Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. The Value and Expected Value of KnowledgeVolume 51, Issue 1Julien Dutant DOI: https://doi.org/10.1017/S0012217312000285Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

According to all-luck egalitarianism, the differential distributive effects of both brute luck, which defines the outcome of risks which are not deliberately taken, and option luck, which defines the outcome of deliberate gambles, are unjust. Exactly how to correct the effects of option luck is, however, a complex issue. This article argues that (a) option luck should be neutralized not just by correcting luck among gamblers, but among the community as a whole, because it would be unfair for gamblers as (...) a group to be disadvantaged relative to non-gamblers by bad option luck; (b) individuals should receive the warranted expected results of their gambles, except insofar as individuals blamelessly lacked the ability to ascertain which expectations were warranted; and (c) where societal resources are insufficient to deliver expected results to gamblers, gamblers should receive a lesser distributive share which is in proportion to the expected results. Where all-luck egalitarianism is understood in this way, it allows risk-takers to impose externalities on non-risk-takers, which seems counterintuitive. This may, however, be an advantage as it provides a luck egalitarian rationale for assisting ‘negligent victims’. (shrink)

Managing learning continuity is critical for successful MOOC learning. Thus, enabling learners to have learning persistence needs to be integrated into the MOOC learning design. Motivation effort is a critical component enabling students to maintain continuous MOOC learning. The expectancy–value theory explains why learners engage in learning: they have a higher perceived ability for learning success, place value on learning, and avoid psychological costs. However, it is unclear how these factors affect MOOC learning persistence and how learners’ motivation (...) is formed from this perspective. This experimental study explored how learners’ motivational variables affect their learning persistence, focusing on the expectancy–value theory. The results of this study indicated that academic self-efficacy and task value had significant positive effects on learning persistence. The structural relationship of antecedent, process, and outcome variables showed that teaching presence as an antecedent had a significantly positive effect on academic self-efficacy and task value. Among the three factors of the expectancy–value theory, only the task value influenced learning persistence through student engagement as a mediator. Based on the results, suggestions are provided for motivating MOOC environments that support learners’ continuous MOOC learning. (shrink)

Decision-making competence reflects individual differences in the susceptibility to decision-making errors, measured using tasks common from behavioral decision research (e.g., framing effects, under/overconfidence, following decision rules). Prior research demonstrates that those with higher decision-making competence report lower incidence of health-risking and antisocial behaviors, but there has been less focus on intermediate mechanisms that may impact real-world decisions, and, in particular, those implicated by normative models. Here we test the associations between measures of youth decision-making competence (Y-DMC) and one such mechanism, (...) the degree to which individuals make choices consistent with maximizing expected value (EV). Using a task involving hypothetical gambles, we find that greater EV sensitivity is associated with greater Y-DMC. Higher Y-DMC scores are associated with (a) choosing risky options when expected value favors those options and (b) avoiding risky options when expected value favors a certain option. This relationship is stronger for gambles that involved potential losses. The results suggest that Y-DMC captures decision processes consistent with standard normative evaluations of risky decisions. (shrink)

Rational choice models are characterized by the image of the self-interested Homo economicus. The role of moral concerns, which may involve a concern for others' welfare in people's judgments and choices, questions the descriptive validity of such models. Increasing evidence of a role for perceived moral obligation within the expectancy-value-based theory of reasoned action and the theory of planned behavior indicates the importance of moral-normative influences in social behavior. In 2 studies, the influence of moral judgments on attitudes toward (...) food produced with the use of genetic engineering techniques and toward meat consumption is addressed. The reasons participants provide for their moral judgments indicate some foci of their moral concerns. The results of both studies corroborate earlier findings that perceived moral obligation has independent effects on behavioral intentions; they also provide evidence that such judgments may affect attitudes themselves. The results are discussed in relation to the need for attitude-behavior models to reflect the role of moral evaluations in judgment and choice. (shrink)

Of the many possible individual factors bearing on test preparation, one is how individuals’ motivational and cognitive perceptions affect test-driven preparation practices. This study reports an investigation into test preparation of a high-stakes writing test from the perspective of expectancy-value theory. Undergraduate students on their test preparation for the writing tasks of China’s Graduate School Entrance English Examination were recruited voluntarily from 11 universities in mainland China. The perceptions of GSEEE test takers, which included goal, task value, task (...) demand, and expectation of success, were identified. Five types of preparation practices were identified for the GSEEE writing tasks: memorizing practice, test familiarization, comprehensive learning, skills development and drilling practice. Structural equation modeling revealed that the expectancy-value model held up well for the paths from test takers’ perceptions to test-driven preparation practices, which were not construct-oriented but goal-motivated. The GSEEE test takers’ goal, determined by the high-stakes nature of admission test, explained their motivation and determined their behavior toward test preparation. Results also indicated that task demand was inadequate to be termed a strong factor in affecting test preparation. As such, the findings of this study offer evidence regarding how an expectancy-value model fit into test preparation mechanism and provide insights into the nature and scope of test preparation for high-stakes writing tests. (shrink)

Push-pull theory, consumer decision-making models and rational choice theory are commonly used to explain international student mobility. Despite their merits, the individual’s motivation to study abroad is ignored. Based on two motivation theories—expectancy-value theory and self-determination theory, this study examines whether students’ intention to study abroad originates from the students themselves or compromises social pressure and how the external factors defined in push-pull theory work with these motivations to affect their decision-making. A quantitative study was conducted with a sample (...) size of 736 international students in China. The findings show that the decision to study abroad is a highly subjective and intrinsically driven behavior in which realizing one’s self-worth or fulfilling one’s purpose of life plays the most significant role. Making a decision needs a “cost-benefits calculus,” but the utility value of study abroad was positioned behind attainment value and identified motivation. The heterogeneity of international students’ motivation was also differentiated by both their gender and their parents’ educational backgrounds. (shrink)

:We address the question, in decision theory, of how the value of risky options should be assessed when they have no finite standard expected value, that is, where the sum of the probability-weighted payoffs is infinite or not well defined. We endorse, combine and extend the proposal of Easwaran to evaluate options on the basis of their weak expected value, and the proposal of Colyvan to rank options on the basis of their relative expected (...) value. (shrink)

It is commonly believed that when a finite value is received in a game that has an infinite expected value, it is in one’s interest to redo the game. We have argued against this belief, at least in the repeated St Petersburg two-envelope case. We also show a case where repeatedly opting for a higher expected value leads to a worse outcome.

The term value may be defined as a principle or ideal of intrinsic worth or desirability. Values and attitudes relate a property of an external object (intrinsic worth) with an internal process (feeling). People impute worth or value onto objects, principles or ideals. The values are preferences, criteria or choices of personal or group conduct. They are general principles that guide an individual's decisions. These principles have an inherent organization and a rational basis to impart worth to objects (...) and other individuals. As society and culture are not static, there can be many changes in a society in the course of a decade. Changes in societal values are usually gradual when viewed from a distance, and are at both individual and group levels. Individuals have values which they express both in terms of stated beliefs and actions. The present article is an attempt to understand the impact of profession, represented by teachers of higher education and medical doctors, and dietary habits, categorized as vegetarians and non–vegetarians, on the perception of existing values and expectation of ought to be values in the society. (shrink)

Many philosophers assume that, when making moral decisions under uncertainty, we should choose the option that has the greatest expected moral value, regardless of how risky it is. But their arguments for maximizing expected moral value do not support it over rival, risk-averse approaches. In this paper, I present a novel argument for maximizing expected value: when we think about larger series of decisions that each decision is a part of, all but the most (...) risk-averse agents would prefer that we consistently choose the option with the highest expected value. To the extent that what we choose on a given occasion should be guided by the entire series of choices we prefer, then on each occasion, we should choose the option with the highest expected moral value. (shrink)

This paper evaluates a recent method proposed by Jeremy Gwiazda for calculating the value of gambles that fail to have expected values in the standard sense. I show that Gwiazda’s method fails to give answers for many gambles that do have standardly defined expected values. However, a slight modification of his method (based on the mathematical notion of the ‘Cauchy principal value’ of an integral), is in fact a proper extension of both his method and the (...) method of ‘weak expectations’. I show that this method gives an appropriate value when the ‘tails’ of the gambles that are eliminated in the truncation are ‘stable’, but that the value is not appropriate when the tails are not stable. I do not attempt to give an argument for the use of this method, but just note that it is more general than Gwiazda’s method, and is mathematically quite natural. (shrink)

The values that will govern choices among future energy systems are unlikely to be the same as the values we embrace today. This paper discusses principles of rational choice for agents expecting future value shifts. How do we ought to reason if we believe that some values are likely to change in the future? Are future values more, equally, or less important than present ones? To answer this question, I propose and discuss the Expected Center of Gravity Principle, (...) which articulates what I believe to be a reasonable compromise between present and future values. (shrink)

Sometimes we believe that others receive harmful information. However, Marschak’s value of information framework always assigns non-negative value under expected utility: it starts from the decision maker’s beliefs – and one can never anticipate information’s harmfulness for oneself. The impact of decision makers’ capabilities to process information and of their expectations remains hidden behind the individual and subjective perspective Marschak’s framework assumes. By introducing a second decision maker as a point of reference, this paper introduces a way (...) for evaluating others’ information from a cross-individual, imperfect expectations perspective for agents maximising expected utility. We define the cross-value of information that can become negative – then the information is “harmful” from a cross-individual perspective – and we define (mutual) cost of limited information processing capabilities and imperfect expectations as an opportunity cost from this same point of reference. The simple relationship between these two expected utility-based concepts and Marschak’s framework is shown, and we discuss evaluating short-term reactions of stock market prices to new information as an important domain of valuing others’ information. (shrink)

How ought you to evaluate your options if you're uncertain about what's fundamentally valuable? A prominent response is Expected Value Maximisation (EVM)—the view that under axiological uncertainty, an option is better than another if and only if it has the greater expected value across axiologies. But the expected value of an option depends on quantitative probability and value facts, and in particular on value comparisons across axiologies. We need to explain what it (...) is for such facts to hold. Also, EVM is by no means self-evident. We need an argument to defend that it’s true. This book introduces an axiomatic approach to answer these worries. It provides an explication of what EVM means by use of representation theorems: intertheoretic comparisons can be understood in terms of facts about which options are better than which, and mutatis mutandis for intratheoretic comparisons and axiological probabilities. And it provides a systematic argument to the effect that EVM is true: the theory can be vindicated through simple axioms. The result is a formally cogent and philosophically compelling extension of standard decision theory, and original take on the problem of axiological or normative uncertainty. (shrink)

TheoryDigital technologies have become an integral part of everyday life that children are exposed to. Therefore, it is important for children to acquire an understanding of these technologies early on by teaching them computational thinking as a part of STEM. However, primary school teachers are often reluctant to teach CT. Expectancy-value theory suggests that motivational components play an important role in teaching and learning. Thus, one hindrance to teachers’ willingness to teach CT might be their low expectancies of success (...) and high emotional costs, e.g., anxiety towards CT. Thus, introducing preservice teachers to CT during their university years might be a promising way to support their expectancies and values, while simultaneously alleviating their emotional costs. Prior CT competences might contribute to these outcomes.AimsWe investigated whether a specifically designed seminar on CT affected preservice teachers’ expectancies and values towards programming.Method: A total of 311 German primary school and special education preservice teachers took part in the study. The primary school preservice teachers received a seminar on CT and programming with low-threshold programming tasks, while the special education teachers served as a baseline group. The seminar was specifically designed to enhance expectancies and values and decrease emotional costs, following implications of research on expectancy-value theory.ResultsThe preservice teachers who visited the seminar gained higher expectancies and values towards CT and programming compared to the baseline group. Moreover, their emotional costs decreased. CT was positively related to change in expectancies and values and negatively related to emotional costs.DiscussionInterventions with low-threshold programming tasks can support primary school preservice teachers in finding trust in their abilities and values towards CT. Moreover, their anxiety towards CT and programming can be alleviated. Thus, first steps in preparing preservice teachers to teach CT in their future classrooms can be taken in university. (shrink)

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 of actual value, and show that a form of decision theory due to Stalnaker can be reformulated so as to be in line with the edict to maximize expected value. By contrast, I show that there is no quantity — given by my definition or otherwise — that plays the role of actual value in Jeffrey's decision theory. (shrink)

The principle that rational agents should maximize expected utility or choiceworthiness is intuitively plausible in many ordinary cases of decision-making under uncertainty. But it is less plausible in cases of extreme, low-probability risk (like Pascal's Mugging), and intolerably paradoxical in cases like the St. Petersburg and Pasadena games. In this paper I show that, under certain conditions, stochastic dominance reasoning can capture most of the plausible implications of expectational reasoning while avoiding most of its pitfalls. Specifically, given sufficient background (...) uncertainty about the choiceworthiness of one's options, many expectation-maximizing gambles that do not stochastically dominate their alternatives "in a vacuum" become stochastically dominant in virtue of that background uncertainty. But, even under these conditions, stochastic dominance will not require agents to accept options whose expectational superiority depends on sufficiently small probabilities of extreme payoffs. The sort of background uncertainty on which these results depend looks unavoidable for any agent who measures the choiceworthiness of her options in part by the total amount of value in the resulting world. At least for such agents, then, stochastic dominance offers a plausible general principle of choice under uncertainty that can explain more of the apparent rational constraints on such choices than has previously been recognized. (shrink)

A number of authors have noted that vagueness engenders degrees of belief, but that these degrees of belief do not behave like subjective probabilities. So should we countenance two different kinds of degree of belief: the kind arising from vagueness, and the familiar kind arising from uncertainty, which obey the laws of probability? I argue that we cannot coherently countenance two different kinds of degree of belief. Instead, I present a framework in which there is a single notion of degree (...) of belief, which in certain circumstances behaves like a subjective probability assignment and in other circumstances does not. The core idea is that one’s degree of belief in a proposition P is one’s expectation of P’s degree of truth. (shrink)