Editorial Board
Publication date: December 2019Source: Journal of Mathematical Psychology, Volume 93Author(s): (Source: Journal of Mathematical Psychology)
Source: Journal of Mathematical Psychology - November 14, 2019 Category: Psychiatry & Psychology Source Type: research
Indistinguishability of small probabilities, subproportionality, and the common ratio effect
Publication date: December 2019Source: Journal of Mathematical Psychology, Volume 93Author(s): Maik Dierkes, Vulnet SejdiuAbstractWe show that, in the framework of Cumulative Prospect Theory, subproportionality as a property of the probability weighting function alone does not automatically imply the common ratio effect. This issue is particularly relevant for equal-mean lotteries because both risk-averse and risk-seeking behavior have to be predicted there. As a solution, we propose three simple properties of the probability weighting function which are sufficient to accommodate the empirical evidence on the common ratio ...
Source: Journal of Mathematical Psychology - November 7, 2019 Category: Psychiatry & Psychology Source Type: research
Decision with multiple alternatives: Geometric models in higher dimensions — the cube model
Publication date: December 2019Source: Journal of Mathematical Psychology, Volume 93Author(s): Keivan Mallahi-Karai, Adele DiederichAbstractWe propose a family of new multi-episode models of decision making with more than two alternatives. These models can be viewed as multi-dimensional extensions of the standard diffusion model (i.e. Wiener process) with two alternatives introduced in Laming (1968), Link and Heath (1975), Ratcliff (1978) while at the same time, they incorporate Tversky’s notion Tversky (1972)of elimination by aspects, as well as the possibility of correlated noise. The models can be extended to an atten...
Source: Journal of Mathematical Psychology - November 5, 2019 Category: Psychiatry & Psychology Source Type: research
Unilateral support equilibria
Publication date: December 2019Source: Journal of Mathematical Psychology, Volume 93Author(s): J. Schouten, P.E.M. Borm, R.L.P. HendrickxAbstractThe concept of Berge equilibria is based on supportive behavior among the players: each player is supported by the group of all other players. In this paper, we consider individual support rather than group support. The main idea is to introduce individual support relations, modeled by derangements. In a derangement, every player supports exactly one other player and every player is supported by exactly one other player. A unilaterally supportive strategy combination with respect ...
Source: Journal of Mathematical Psychology - November 2, 2019 Category: Psychiatry & Psychology Source Type: research
Introducing article numbering to Journal of Mathematical Psychology
Publication date: October 2019Source: Journal of Mathematical Psychology, Volume 92Author(s): Gail M. Rodney (Source: Journal of Mathematical Psychology)
Source: Journal of Mathematical Psychology - November 1, 2019 Category: Psychiatry & Psychology Source Type: research
Editorial Board
Publication date: October 2019Source: Journal of Mathematical Psychology, Volume 92Author(s): (Source: Journal of Mathematical Psychology)
Source: Journal of Mathematical Psychology - November 1, 2019 Category: Psychiatry & Psychology Source Type: research
Coherent orders
Publication date: December 2019Source: Journal of Mathematical Psychology, Volume 93Author(s): Federico QuartieriAbstractA preference relation is a binary endorelation B over an arbitrary ground set X of alternatives. The requisite that B is a strict partial order relation is equivalent to positing that the implication y∈B(x)⇒B(y)⊂B(x) – with B(t) denoting {s∈X:s,t∈B} for all t∈X and with ⊂ denoting strict inclusion – holds true for every pair y,x in X×X. The paper introduces the notion of a coherent order relation, defined as one that satisfies the previous one-way implication as a double implication. ...
Source: Journal of Mathematical Psychology - October 30, 2019 Category: Psychiatry & Psychology Source Type: research
Four-decision tests for stochastic dominance, with an application to environmental psychophysics
Publication date: December 2019Source: Journal of Mathematical Psychology, Volume 93Author(s): Angel G. Angelov, Magnus Ekström, Bengt Kriström, Mats E. NilssonAbstractIf the survival function of a random variable X lies to the right of the survival function of a random variable Y, then X is said to stochastically dominate Y. Inferring stochastic dominance is particularly complicated because comparing survival functions raises four possible hypotheses: identical survival functions, dominance of X over Y, dominance of Y over X, or crossing survival functions. In this paper, we suggest four-decision tests for stochastic do...
Source: Journal of Mathematical Psychology - October 20, 2019 Category: Psychiatry & Psychology Source Type: research
Editorial on developments in systems factorial technology: Theory and applications
Publication date: Available online 16 October 2019Source: Journal of Mathematical PsychologyAuthor(s): Joseph W. Houpt, Daniel R. Little, Ami Eidels (Source: Journal of Mathematical Psychology)
Source: Journal of Mathematical Psychology - October 18, 2019 Category: Psychiatry & Psychology Source Type: research
Adaptive design for systems factorial technology experiments
Publication date: Available online 18 September 2019Source: Journal of Mathematical PsychologyAuthor(s): Joseph J. Glavan, Elizabeth L. Fox, Mario Fifić, Joseph W. HouptAbstractSystems factorial technology (SFT) is a powerful framework for examining how people use multiple sources of information together. Unfortunately, it is often difficult to apply. Appropriate manipulation of the salience of each source of information is critical to assessing processing characteristics so a significant amount of time can be spent piloting to determine the correct levels. Even with piloting, some participants’ data ends up unusable du...
Source: Journal of Mathematical Psychology - September 19, 2019 Category: Psychiatry & Psychology Source Type: research
Fictional narrative as a variational Bayesian method for estimating social dispositions in large groups
Publication date: December 2019Source: Journal of Mathematical Psychology, Volume 93Author(s): James Carney, Cole Robertson, Tamás Dávid-BarrettAbstractModelling intentions in large groups is cognitively costly. Not alone must first order beliefs be tracked (’what does A think about X?’), but also beliefs about beliefs (’what does A think about B’s belief concerning X?’). Thus linear increases in group size impose non-linear increases in cognitive processing resources. At the same time, however, large groups offer coordination advantages relative to smaller groups due to specialisation and increased productive ...
Source: Journal of Mathematical Psychology - September 17, 2019 Category: Psychiatry & Psychology Source Type: research
An examination of age-related differences in attentional control by systems factorial technology
Publication date: Available online 12 September 2019Source: Journal of Mathematical PsychologyAuthor(s): Cheng-Ta Yang, Shulan Hsieh, Cheng-Ju Hsieh, Mario Fifić, Yen-Ting Yu, Chun-Hao WangAbstractA recent study by Ben-David et al. (2014) indicated that older adults process redundant targets with a larger workload capacity than younger adults, even though older adults exhibit generally slower response times (RTs). To investigate the organization of mental processes that underlie age-related differences, we conducted four experiments with redundant-target tasks. In a series of discrimination-type redundant-target tasks (Ex...
Source: Journal of Mathematical Psychology - September 13, 2019 Category: Psychiatry & Psychology Source Type: research
A Gibbs sampling algorithm that estimates the Q-matrix for the DINA model
Publication date: December 2019Source: Journal of Mathematical Psychology, Volume 93Author(s): Mengta ChungAbstractCognitive diagnostic assessment has drawn more attention in recent years, which attempts to evaluate whether an examinee has mastered those cognitive skills or attributes being measured in an assessment. To achieve this objective, a variety of cognitive diagnosis models have been developed. The core element of these models is the Q-matrix, which is a binary matrix that establishes item-to-attribute mapping in an exam. Traditionally, the Q-matrix is fixed and designed by domain experts. However, there are conce...
Source: Journal of Mathematical Psychology - September 13, 2019 Category: Psychiatry & Psychology Source Type: research
A theoretical study of process dependence for critical statistics in standard serial models and standard parallel models
Publication date: Available online 7 September 2019Source: Journal of Mathematical PsychologyAuthor(s): Ru Zhang, Yanjun Liu, James T. TownsendAbstractLong before the mathematical developments that led inexorably to the development of systems factorial technology, the somewhat arduous, but arguably requisite labors which precisely defined parallel and serial architectures had begun (e.g., Townsend, 1969, 1972). Both then and now, what are now referred to as standard serial models and standard parallel models not only play an important role in psychological science, they are often what non-mathematical psychologists are (so...
Source: Journal of Mathematical Psychology - September 8, 2019 Category: Psychiatry & Psychology Source Type: research
Testing selective influence directly using trackball movement tasks
Publication date: Available online 7 September 2019Source: Journal of Mathematical PsychologyAuthor(s): Ru Zhang, Cheng-Ta Yang, Janne V. KujalaAbstractSystems factorial technology (SFT; Townsend & Nozawa, 1995) is regarded as a useful tool to diagnose if features (or dimensions) of the investigated stimulus are processed in a parallel or serial fashion. In order to use SFT, one has to assume the speed to process each feature is influenced by that feature only, termed as selective influence (Sternberg, 1969). This assumption is usually untestable as the processing time for a stimulus feature is not observable. Stochastic d...
Source: Journal of Mathematical Psychology - September 8, 2019 Category: Psychiatry & Psychology Source Type: research
