Decomposition of multivariate utility functions in non-additive expected utility theory

In expected utility many results have been derived that give necessary and/or sufficient conditions for a multivariate utility function to be decomposable into lower-dimensional functions. In particular, multilinear, multiplicative and additive decompositions have been widely discussed. These utility functions can be more easily assessed in practical situations. In this paper we present a theory of decomposition in the context of nonadditive expected utility such as anticipated utility or Choquet expected utility. We show that many of the results used in conventional expected utility carry over to these more general frameworks. If preferences over lotteries depend only on the marginal probability distributions, then in expected utility the utility function is additively decomposable. We show that in anticipated utility the marginality condition implies not only that the utility function is additively decomposable but also that the distortion function is the identity function. We further demonstrate that a decision maker who is bivariate risk neutral has a utility function that is additively decomposable and a distortion function q for which q(½) = ½.     

The role of epistemic and social characteristics in children’s selective trust: Three meta‐analyses

Over the last 15 years, researchers have been increasingly interested in understanding the nature and development of children’s selective trust. Three meta‐analyses were conducted on a total of 51 unique studies (88 experiments) to provide a quantitative overview of 3‐ to 6‐year‐old children’s selective trust in an informant based on the informant’s epistemic or social characteristics, and to examine the relation between age and children’s selective trust decisions. The first and second meta‐analyses found that children displayed medium‐to‐large pooled effects in favor of trusting the informant who was knowledgeable or the informant with positive social characteristics. Moderator analyses revealed that 4‐year‐olds were more likely to endorse knowledgeable informants than 3‐year‐olds. The third meta‐analysis examined cases where two informants simultaneously differed in their epistemic and social characteristics. The results revealed that 3‐year‐old children did not selectively endorse informants who were more knowledgeable but had negative social characteristics over informants who were less knowledgeable but had positive social characteristics. However, 4‐ to 6‐year‐olds consistently prioritized epistemic cues over social characteristics when deciding who to trust. Together, these meta‐analyses suggest that epistemic and social characteristics are both valuable to children when they evaluate the reliability of informants. Moreover, with age, children place greater value on epistemic characteristics when deciding whether to endorse an informant’s testimony. Implications for the development of epistemic trust and the design of studies of children’s selective trust are discussed.     

Representation of subjective preferences under ambiguity

The objective of this paper is to show how potentially incomplete preferences of a decision maker (DM) on acts can be modelled formally in a subjective ambiguity perspective. We identify acts as functions from a state space Ω to bounded support (finitely additive) probabilities over a set X of prizes. Then, we characterize preferences over equibounded acts a which have a numerical representation by the family of functionals , where u is a cardinal utility on X (representing the risk attitude of the DM) and Π is a unique pointwise closed convex set of probabilities on all events in Ω (representing the ambiguity perceived by the DM). To this end, in addition to the usual independence and continuity assumptions, we add completeness and dominance for preferences restricted to constant acts; moreover, we consider two other properties (subjective monotonicity and coherence) related with the preferences of a DM who is not able, owing to his partial knowledge, to evaluate any event in Ω.     

Severe Withdrawal (and Recovery)

The problem of how to remove information from an agent's stock of beliefs is of paramount concern in the belief change literature. An inquiring agent may remove beliefs for a variety of reasons: a belief may be called into doubt or the agent may simply wish to entertain other possibilities. In the prominent AGM framework for belief change, upon which the work here is based, one of the three central operations, contraction, addresses this concern (the other two deal with the incorporation of new information). Makinson has generalised this work by introducing the notion of a withdrawal operation. Underlying the account proffered by AGM is the idea of rational belief change. A belief change operation should be guided by certain principles or integrity constraints in order to characterise change by a rational agent. One of the most noted principles within the context of AGM is the Principle of Informational Economy. However, adoption of this principle in its purest form has been rejected by AGM leading to a more relaxed interpretation. In this paper, we argue that this weakening of the Principle of Informational Economy suggests that it is only one of a number of principles which should be taken into account. Furthermore, this weakening points toward a Principle of Indifference. This motivates the introduction of a belief removal operation that we call severe withdrawal. We provide rationality postulates for severe withdrawal and explore its relationship with AGM contraction. Moreover, we furnish possible worlds and epistemic entrenchment semantics for severe withdrawals.     

The Image of God of Neurotheology: Reflections of Culturally Based Religious Commitments or Evolutionarily Based Neuroscientific Theories?

In Augustinian fashion, James B. Ashbrook and Carol Rausch Albright develop a neurotheology that finds evolutionarily based correlations between the functions of the human mind-brain and the roles God plays in human life. I argue that their assumptions of anthropomorphism , that the human mind-brain must conceptualize its environment in human terms, and realism , that anthropomorphism is correct, are evolutionarily unlikely. I conclude that the image of God ( imago dei ) the authors find reflected in the human mind-brain appears to derive from their Christian religious commitments rather than from evolutionary theory.     

EFFECTS OF PREFERENCE AND REINFORCER VARIATION ON WITHIN-SESSION PATTERNS OF RESPONDING

We examined correspondence between preference assessment outcome and within‐session patterns of responding in one subject with autism. Responding maintained by a single highly preferred item resulted in a greater total number of responses, a slower decline in within‐session response rates, and a greater proportion of short interresponse times compared to responding maintained by varied moderately preferred (MP) stimuli. Presenting varied MP stimuli within the same session produced greater levels and more sustained responding than presenting those same stimuli individually.     

Counter-Closure

The focus of this paper is the prima facie plausible view, expressed by the principle of Counter-Closure, that knowledge-yielding competent deductive inference must issue from known premises. I construct a case that arguably falsifies this principle and consider five available lines of response that might help retain Counter-Closure. I argue that three are problematic. Of the two remaining lines of response, the first relies on non-universal intuitions and forces one to view the case I construct as exhibiting a justified, true belief to which none of the usual diagnoses of knowledge failure in Gettier cases apply. The second line involves claiming that Fake Barns and its ilk are misdiagnosed by epistemological orthodoxy as Gettier cases. We are thus confronted by a trilemma: either the case I discuss undermines the first-blush plausible principle of Counter-Closure; or the case I discuss instantiates a novel kind of Gettier case; or a popular conception of a key range of alleged Gettier cases must be rejected. No matter which horn we choose, the case points to a philosophically curious conclusion.     

On Empty Compliments and Deceptive Detours A Neopragmatist Response to Theodore W. Nunez

The philosophical question Nunez raises is whether we can have, as he thinks we need, a theoretical grounding for appeal to the intrinsic value of nature. This article examines the neopragmatist reasons for repudiating metaphysical realism's notions of intrinsicality and subject-independent reality. Following the holism of Donald Davidson and Richard Rorty rather than the epistemological premises of Holmes Rolston and Bernard Lonergan, the author concludes that coping with the ecological crisis does not require conjuring an epistemic crisis. Environmental ethics in neopragmatist hands would seek procedures for bringing about agreement in improving our practices, not our epistemology.     

The ‘should’ in conceptual engineering

Several philosophers have inquired into the metaphysical limits of conceptual engineering: ‘Can we engineer? And if so, to what extent?’. This paper is not concerned with answering these questions. It does concern itself, however, with the limits of conceptual engineering, albeit in a largely unexplored sense: it cares about the normative, rather than about the metaphysical limits thereof. I first defend an optimistic claim: I argue that the ameliorative project has, so far, been too modest; there is little value theoretic reason to restrict the project to remedying deficient representational devices, rather than go on a more ambitious quest: conceptual improvement. That being said, I also identify a limitation to the optimistic claim: I show that the ‘should’ in ameliorative projects suffers from a ‘wrong-kind-of-reasons’ problem. Last but not least, I sketch a proposal of normative constraining meant to address both the above results. The proposal gives primacy to epistemic constraints: accordingly, a concept should be ameliorated only insofar as this does not translate into epistemic loss.     

Multi‐Criteria Evaluation for Collaborative Circulating Farming with Collective Operations Between Arable and Cattle Farmers

Tokachi sub‐prefecture in Hokkaido is one of the most famous dairy and crop farming regions in Japan. It is known that Tokachi is faced with various difficult problems such as soil degradation, water contamination and unpleasant odours because of the excessive use of chemical fertilizers and inappropriate treatment of livestock excretion. In this paper, we focus on Shihoro town where agricultural outputs are relatively large in Tokachi, and propose collaborative circulating farming with collective operations between arable and cattle farmers. Under the assumption that the decision‐maker in this problem is a representative of a farming organization who hopes for sustainable agricultural development and values the intentions of local residents including arable and cattle farmers in this region, we employ multi‐attribute utility theory in order to evaluate multiple alternatives of the farming management problem. Copyright © 2012 John Wiley & Sons, Ltd.