Lexicographic order preservation and stochastic dominance

Stochastic dominance concerns conditions on outcome probabilities that are necessary and sufficient for one act to be (strictly) preferred to another according to all preference relations that share certain properties, one of which customarily is an Archimedean property sufficient to entail existence of real-valued representations. We relax this assumption to permit linear lexicographic utility of finite and known dimensionality. In some situations, levels of the lexicographic hierarchy could correspond to explicit criteria or attributes. In our model, subjective probabilities emerge as matrix premultipliers of the outcome utility vectors. We thus obtain matrix probability generalizations of the familiar cumulative probability conditions for stochastic dominance.     

Rough approximation of pairwise comparisons described by multi‐attribute stochastic dominance

Given a finite set A of actions evaluated by a set of attributes, preferential information is considered in the form of a pairwise comparison table including pairs of actions from subset B⊂A described by stochastic dominance relations on particular attributes and a total order on the decision attribute. Using a rough sets approach for the analysis of the subset of preference relations, a set of decision rules is obtained, and these are applied to a set A\B of potential actions. The rough sets approach of looking for the reduction of the set of attributes gives us the possibility of operating on a multi‐attribute stochastic dominance for a reduced number of attributes. Copyright © 1999 John Wiley & Sons, Ltd.     

A Note on the Power of Multiattribute One‐switch Utility Functions

One‐switch utility functions model situations in which the preference between two alternatives switches only once as the outcome of one attribute of both alternatives changes from low to high. Recent research cites evidence that the sum of exponential functions (sumex) is the most convincing type for modelling one‐switch utility functions. Sumex functions allow to model exactly one preferential switch and they are convenient for estimating one‐switch utility functions. However, it is unclear so far if sumex functions are suitable to model preferential switches that are perceivable by a decision maker. This paper first analyses how different the utility of two alternatives before and after a preferential can be modelled with sumex functions given that the preferential switch is caused by a particular attribute outcome improvement. It thereafter investigates how accurately decision makers perceive such utility differences. Copyright © 2015 John Wiley & Sons, Ltd.     

Stochastic Dominance and Opaque Sweetening

This paper addresses the problem of opaque sweetening and argues that one should use stochastic dominance in comparing lotteries even when dealing with incomplete orderings that allow for non-comparable outcomes.     

Invited Review—Survey of Value‐Focused Thinking: Applications,Research Developments and Areas for Future Research

Criteria are the central focus of multi‐criteria decision analysis. Many authors have suggested using our values (or preferences) to define the criteria we use to evaluate alternatives. Value‐focused thinking (VFT) is an important philosophy that advocates a more fundamental view of values in our decision making in our private and professional lives. VFT proponents advocate starting first with our values and then using our values to create decision opportunities, evaluate alternatives and finally develop improved alternatives. It has been 20 years since VFT was first introduced by Ralph Keeney. This paper surveys the VFT literature to provide a comprehensive summary of the significant applications, describe the main research developments and identify areas for future research. We review the scope and magnitude of VFT applications and the key developments in theory since VFT was introduced in 1992 and found 89 papers written in 29 journals from 1992 to 2010. We develop about 20 research questions that include the type of article (application, theory, case study, etc.), the size of the decision space (which, when given, ranged from $200K to billions of dollars), the contribution documented in the article (application benefits) and the research contributions (categorized by preferences, uncertainties and alternatives). After summarizing the answers to these questions, we conclude the paper with suggestions for improving VFT applications and potential future research. We found a large number of significant VFT applications and several useful research contributions. We also found an increasing number of VFT papers written by international authors. Copyright © 2012 John Wiley & Sons, Ltd.     

Effects of Deception on Children's Understanding of Second‐order False Belief

This research examined two questions: effects of deception on children's understanding of second‐order false belief, and possible effects of number of siblings on second‐order performance. Kindergarten children responded to 3 second‐order problems that varied in the presence and the nature of deception. Performance was better on the problems with deception, but significantly so only when the target for the belief attribution produced the deception. This finding helps to clarify differences between the two main paradigms for assessing second‐order false belief. There was no relation between number of siblings and performance. Copyright © 2013 John Wiley & Sons, Ltd.     

Eliciting Subjective Probabilities through Pair‐wise Comparisons

We propose and test a novel approach for eliciting subjective joint probabilities. In the proposed approach, judges compare pairs of possible outcomes and identify which of the two is more likely and by how much. These pair‐wise comparative judgments create a matrix of ratio judgments from which the target probabilities are extracted using the rows' (or columns') geometric means. In Study 1, subjects provided direct assessments of the likelihood of joint events (e.g., sunny days and stock market gains) and also made pair‐wise comparisons of the same joint events. Subjects in Study 2 learnt the distribution of hypothetical events pairs and provided direct and ratio estimates. In both studies, the ratio estimates were significantly more accurate than the direct estimates. The results suggest that it is possible to elicit probabilistic estimates without explictly asking for probabilities and that the pair‐wise approach is a candidate for complementing or replacing traditional elicitation approaches. Copyright © 2016 John Wiley & Sons, Ltd.     

Children's moral judgments of commission and omission based on their understanding of second‐order mental states1

Abstract: Children's moral judgments about acts of commission and omission with negative outcomes were studied based on their understanding of mental states. Children (N = 142) in the first, third, and fifth grades made judgments about four tasks composed of two levels of mental states (first‐order or second‐order) and two types of acts (commission or omission). The results showed that the 7‐year‐olds responded considering only first‐order mental states, but the 9‐ and 11‐year‐olds also used second‐order mental states in their judgments. Whether the acts were commission or omission did not make a difference. These results indicate that children can make moral judgments regarding acts of commission and omission based on an understanding of second‐order mental states by approximately the age of 9 years.     

Endorsement of sexist ideology in Taiwan and the United States: Social dominance orientation,right‐wing authoritarianism,and deferential family norms

Despite close relationships between men and women in daily lives, gender inequality is ubiquitous and often supported by sexist ideology. The understanding of potential bases of sexist ideology is thus important. According to Duckitt's dual‐process model (2001), different worldviews may explain different types of sexist ideology. Individuals who hold a “competitive world” worldview tend to endorse group‐based dominance. This lends itself to the endorsement of hostile sexism, because hostile sexism is an obvious form of male dominance. Conversely, individuals who hold a “dangerous world” worldview tend to adhere to social cohesion, collective security, and social traditions. This lends itself to the endorsement of benevolent sexism, because benevolent sexism values women who conform to gender norms. As predicted by Duckitt's model, research has shown that social dominance orientation, a general orientation towards the endorsement of group‐based dominance, is closely associated with hostile sexism. Furthermore, right‐wing authoritarianism, which measures adherence to social traditions, is closely associated with benevolent sexism. Due to the interdependent nature of gender relationships, the current research proposed that a relationship‐based belief in hierarchy, deferential family norms, and norms depicting proper manners among family members should predict the endorsement of hostile and benevolent sexism, after controlling for social dominance orientation and right‐wing authoritarianism. As predicted, according to student samples collected in Taiwan and the US, the endorsement of deferential family norms predicted the endorsement of hostile sexism and of benevolent sexism, respectively. In addition, among men and women, social dominance orientation predicted hostile sexism more strongly (as opposed to benevolent sexism), whereas right‐wing authoritarianism predicted benevolent sexism more strongly (as opposed to hostile sexism). Implications regarding relationship norms, social dominance orientation, right‐wing authoritarianism, and sexist ideology are discussed.     

The effect of on‐ or off‐line extinction of a first‐order conditioned stimulus on a second‐order conditioned response in rats

In a water‐licking experiment with rats, the effects of the extinction of a first‐order conditioned stimulus (CS1) on the suppression of licking established for a second‐order conditioned stimulus (CS2) were explored. Extinction of the first‐order conditioned response (CR1) attenuated the conditioned suppression induced by CS2 when the rats had been allowed to lick water during the CR1 extinction phase. However, if water had been unavailable during the CR1 extinction phase, suppression by CS2 was not affected. The latter result is consistent with other studies of rats' conditioned suppression and suggests that the underlying mechanism of second‐order conditioning in this experiment is a connection between CS2 and the response elicited by CS1 rather than a CS2‐CS1 connection. The former result was interpreted as the CR1 extinction phase encouraging the rats to lick water despite the fear elicited by CS1, and thus, in testing, they licked despite the fear elicited by CS2.     

Model and interactive algorithm of bi‐level multi‐objective decision‐making with multiple interconnected decision makers

Furthering a prior research on two‐person bi‐level multi‐objective decision‐making problems of the leader‐follower Stackelberg game, we present an extended model of bi‐level multi‐objective decision‐making with multiple interconnected decision makers at the lower level. In the model, the upper level decision maker acts as a leader and the lower level decision makers behave as the followers, and inter‐connections and interactions exist among these followers in decision‐making scenarios. Following the rules of leader‐follower Stackelberg game, we develop an interactive algorithm of the model for solving multi‐objective decision‐making problems and reflecting the interactive natures among the decision makers. Finally, the authors exemplify the model and algorithm, and draw a conclusion on points of contributions and the significance of this study in decision‐making and support. Copyright © 2001 John Wiley & Sons, Ltd.     

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.     

Early Positive Information Impacts Final Evaluations: No Deliberation‐Without‐Attention Effect and a Test of a Dynamic Judgment Model

Evaluation judgments were affected by information order and not by subsequent unconscious versus conscious deliberation. In three experiments, we examined the influence of early positive information on final evaluations of four objects. Based on a task analysis, we predicted primacy effects in judgments in a sequential data acquisition task. Thinking periods following presentation were used to manipulate conscious or unconscious processing. In all three studies, we found no effects of thinking manipulations but instead found reliable order effects. We developed and tested an online judgment model on the basis of the belief updating model of Hogarth and Einhorn. The model accounted for large proportion of the individual level variability, and model comparison tests supported the presence of a primacy effect. Copyright © 2013 John Wiley & Sons, Ltd.     

Effects of social dominance orientation and right‐wing authoritarianism on corrupt intention: The role of moral outrage

Previous research suggested that dominance orientation and authoritarianism may be associated with corruption, but little research has verified this assumption or uncovered its psychological processes. In this article, we examined empirically the relationships between social dominance orientation (SDO), right‐wing authoritarianism (RWA) and corrupt intention and explored the mediating role of moral outrage on these relationships. A total of 677 college students participated in the study and completed measures of SDO, RWA, moral outrage and corrupt intention. Our findings demonstrated that both SDO and RWA were positively associated with corrupt intention. Additionally, moral outrage partially mediated the relation between SDO and corrupt intention and fully mediated the relation between RWA and corrupt intention. Specifically, the results indicated that higher SDO or RWA was associated with reduced moral outrage and increased corrupt intention. This implies that the enhancement of morality and moral outrage may inhibit corrupt intention.     

How a terror attack affects right‐wing authoritarianism,social dominance orientation,and their relationship to torture attitudes

Self‐reported level of right‐wing authoritarianism (RWA ), the two facets of social dominance orientation (SDO ‐Dominance and SDO ‐Egalitarianism) and pro‐torture attitudes were measured both in the immediate aftermath (terror salience, N = 152) of the terror attacks in Paris and Brussels and when terrorism was not salient (non‐salience, N = 140). Results showed that RWA and pro‐torture attitudes, but not SDO ‐Dominance and SDO ‐Egalitarianism, were significantly higher immediately after. Furthermore, RWA and SDO both predicted pro‐torture attitudes more strongly under terror salience. We argue that the reason why RWA is higher under terror salience is a response to external threat, and that SDO ‐Dominance may be more clearly related to acceptance of torture and other human‐rights violations, across context. Future research on the effects of terror‐related events on sociopolitical and pro‐torture attitudes should focus on person‐situation interactions and also attempt to discriminate between trait and state aspects of authoritarianism.     

Mechanisms of moral disengagement and their differential use by right‐wing authoritarianism and social dominance orientation in support of war

Right‐wing authoritarianism (RWA) and social dominance orientation (SDO) are associated with the approval of war as a political intervention [McFarland, 2005]. We examined whether the effects of RWA and SDO on war support are mediated by moral‐disengagement mechanisms [i.e., responsibility reduction, moral justification, minimizing consequences, and dehumanizing–blaming victims; Bandura, 1999] and whether the ideologies use the mechanisms differently. Our data were consistent with the possibility that minimizing consequences (Study 1) and moral justification (Study 2) mediate the effects of RWA and SDO on approval of war. Both ideologies were positively associated with all moral‐disengagement mechanism though more strongly so for RWA. Comparisons within ideologies suggest that RWA was most strongly associated with moral justification and SDO was most strongly associated with dehumanizing–blaming victims. We discuss implications and limitations. Aggr. Behav. 36:238–250, 2010. © 2010 Wiley‐Liss, Inc.     

A demonstration of higher‐order response class development in children

We evaluated a procedure for teaching two children, one typically developing and one with autism, a higher‐order generalized operant response class of unscrambling sight words. The procedures were efficacious in teaching the participants to unscramble words appearing in isolation and in the context of a sentence, with 98% of the presented discriminative stimuli novel to the participants.