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How averaging individual curves transforms their shape: Mathematical analyses with application to learning and forgetting curves
How averaging individual curves transforms their shape: Mathematical analyses with application to learning and forgetting curves
This paper demonstrates how averaging over individual learning and forgetting curves gives rise to transformed averaged cu...
Regret theory, Allais’ paradox, and Savage’s omelet
Regret theory, Allais’ paradox, and Savage’s omelet
The history of expected utility theory (EUT) started with Bernoulli’s work resolving the St. Petersburg paradox (Stearns, ...
How do people build up visual memory representations from sensory evidence? Revisiting two classic models of choice
How do people build up visual memory representations from sensory evidence? Revisiting two classic models of choice
We make choices in virtually every real-world and laboratory task. For example, we decide which cereal we prefer in a supe...
Multi-Attribute Gain Loss (MAGL) method to predict choices
Multi-Attribute Gain Loss (MAGL) method to predict choices
Understanding an individual’s decision-making process in the selection, consumption, and disposal of products and services...
A characterization of two-agent Pareto representable orderings
A characterization of two-agent Pareto representable orderings
Partial orders defined on a nonempty set X admitting a two-agent Pareto representation are characterized. The characteriza...
A new type of polytomous surmise system
A new type of polytomous surmise system
Knowledge space theory (KST) is a mathematical theory first proposed by Doignon and Falmagne, 1985, Doignon and Falmagne, ...
Sparse attentional subsetting of item features and list-composition effects on recognition memory
Many mathematical memory models treat an item in a memory task as a list of features comprising a vector (Fig. 1a). Featur...
Mathematical self-determination theory II: Affine space representation
Self-determination theory (SDT) is a theory of motivation (Deci and Ryan, 1985, Deci and Ryan, 2000), a theory about exter...
Mathematical self-determination theory I: Real representation
Motivation has many definitions (e.g., Deci, 1975, Ryan and Deci, 2000a, Weiner, 1990, White, 1959). Self-determination th...
Bayesian stopping
Stopping rules in statistics are rules for determining when a scientist can or should stop collecting data and make an inf...
An illustrated guide to context effects
Across the many disciplines that study decision making and choice, the term context effect broadly refers to how preferenc...
Modal preference structures
A total preorder is a transitive and complete binary relation on a set. A modal preference structure of rank n is a string...
A characterization of the existence of succinct linear representation of subset-valuations
Representation of valuations over multiple objects is foundational in modeling, from models of human behavior and choice t...
The standard relationship between choice frequency and choice time is violated in multi-attribute preferential choice
Many theories of preferential choice assume a latent valuation function drives a decision process that terminates upon mee...
Modelling constituent order despite symmetric associations in memory
Memory for associations forms the cognitive basis for a large portion of behaviour (Lashley, 1951, Murdock, 1974). In many...
Speeded response tasks with unpredictable deadlines
In response time (RT) research, it is common to instruct participants to respond as fast and as accurately as possible, wh...
Towards a competence-based polytomous knowledge structure theory
The aim of the present article is to lay out the foundations of an axiomatic theory of attribute maps. These last can be r...
Subjective expected utility with signed threshold
If the decision environment allows you to know the outcomes of unchosen alternatives, it has been argued in the literature...
Sufficient conditions making lexicographic rules over the power set satisfy extensibility
Volume 115, August 2023, 102780Author links open overlay panelHighlights•Null alternatives indicate ‘choosing not to choos...
A representation of interval orders through a bi-utility function
The elaboration and reflection on utility theory can be traced back to early economic theory (Hervés-Beloso & del Vall...
A queueing model of visual search
Understanding how attentional resources are deployed in visual processing is a fundamental and highly debated topic. As an...
Nondecomposable Item Response Theory models: Fundamental measurement in psychometrics
The additive conjoint measurement theory (ACMT; Luce & Tukey, 1964) is an abstract theory of measurement that shows th...
Special issue on knowledge structures: Theoretical developments and applications
Volume 114, June 2023, 102773Author links open overlay panelSection snippetsKnowledge structuresThe appeal of KST lies in ...
Well-graded polytomous knowledge structures
The dichotomous knowledge structure theory was introduced to polytomous items, which is proved meaningful in representing ...
Stochastic choice with bounded processing capacity
Choosing from a large menu of alternatives typically imposes a significant burden on the cognitive resources of a decision...
Adjacencies on random ordering polytopes and flow polytopes
Block and Marschak (1960) introduce “random utility models”, showing in many cases their equivalence with “random ordering...
The best-worst-choice polytope on four alternatives
Finn and Louviere (1992) introduced the best-worst choice (BWC) paradigm, according to which the subject, when presented w...
Diffusion models with time-dependent parameters: An analysis of computational effort and accuracy of different numerical methods
Mathematical models describing the time course of decision-making have become an increasingly valuable tool in psychology ...
Comparison of type I error and statistical power between state trace analysis and analysis of variance
State-Trace Analysis (STA) is a methodology for investigating the number of latent variables. Recently, a quantitative STA...
Geometrical properties of a generalized cone and its 2D image
Shapes of many natural and man-made objects in real scenes can be characterized by symmetry or they can be decomposed into...
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