Journal of Mathematical Psychology最新文献_第2页

The dual and the complement of a skill function 技能函数的对偶和补

IF 1.5 4区心理学

Journal of Mathematical Psychology Pub Date : 2025-12-01 Epub Date: 2025-11-02 DOI: 10.1016/j.jmp.2025.102953

Gongxun Wang , Jinjin Li , Jun-e Feng

{"title":"The dual and the complement of a skill function","authors":"Gongxun Wang , Jinjin Li , Jun-e Feng","doi":"10.1016/j.jmp.2025.102953","DOIUrl":"10.1016/j.jmp.2025.102953","url":null,"abstract":"<div><div>In knowledge structure theory, the conjunctive model is the dual of the disjunctive model. What, then, is the dual of the competence model? Regarding the competence model, prior work has established necessary and sufficient conditions for delineating knowledge spaces via the competence model and has well studied the fringe characterization of knowledge states in delineated knowledge spaces. Accordingly, what are the necessary and sufficient conditions for delineating simple closure spaces via the competence model? How can the fringe of knowledge states be characterized in delineated simple closure spaces? Furthermore, in the competence model, top space characterization is complex. How to simplify it? To address these problems, this paper proposes the dual skill function (i.e., dual competence model) and the complement skill function. The dual competence model provides a novel methodology for analyzing the competence model, enabling the transfer of results on delineated knowledge spaces to their dual closure spaces, and offering a more direct characterization of top spaces. In doing so, it effectively addresses the latter three problems. These results refine knowledge structure theory.</div></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":"127 ","pages":"Article 102953"},"PeriodicalIF":1.5,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145465504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Corrigendum to “An entropy model of decision uncertainty” [Journal of Mathematical Psychology 125 (2025), 102919] “决策不确定性的熵模型”的更正[数学心理学杂志125 (2025),102919]

IF 1.5 4区心理学

Journal of Mathematical Psychology Pub Date : 2025-12-01 Epub Date: 2025-09-28 DOI: 10.1016/j.jmp.2025.102951

Keith A. Schneider

引用次数: 0

Experiment-based calibration in psychology: Foundational and data-generating model 心理学中基于实验的校准：基础和数据生成模型

IF 1.5 4区心理学

Journal of Mathematical Psychology Pub Date : 2025-12-01 Epub Date: 2025-09-15 DOI: 10.1016/j.jmp.2025.102950

Dominik R. Bach

{"title":"Experiment-based calibration in psychology: Foundational and data-generating model","authors":"Dominik R. Bach","doi":"10.1016/j.jmp.2025.102950","DOIUrl":"10.1016/j.jmp.2025.102950","url":null,"abstract":"<div><div>Experiment-based calibration is a novel method for measurement validation, which – unlike classical validity metrics – does not require stable between-person variance. In this approach, the latent variable to be measured is manipulated by an experiment, and its predicted scores – termed standard scores – are compared against the measured scores. Previous work has shown that under plausible boundary conditions, the correlation between standard and measured scores – termed retrodictive validity – is informative about measurement accuracy, i.e. combined trueness and precision. Here, I expand these findings in several directions. First, I formalise the approach in a probability-theoretic framework with the concept of a standardised calibration space. Second, I relate this framework to classical validity theory and show that the boundary conditions in fact apply to any form of criterion validity, including classical convergent validity. Thus, I state precise and empirically quantifiable boundary conditions under which criterion validity metrics are informative on validity. Third, I relate these boundary conditions to confounding variables, i.e. correlated latent variables. I show that in the limit, calibration will converge on the latent variable that is most closely related to the standard. Finally, I provide a framework for modelling the data-generating process with Markov kernels, and identify sufficient conditions under which the data generation model results in a calibration space. In sum, this article provides a formal probability-theoretic framework for experiment-based calibration and facilitates modelling and empirical assessment of the data generating processes.</div></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":"127 ","pages":"Article 102950"},"PeriodicalIF":1.5,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145059932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On informativeness and reducibility in competence models 论胜任力模型的信息性和可约性

IF 1.5 4区心理学

Journal of Mathematical Psychology Pub Date : 2025-12-01 Epub Date: 2025-11-20 DOI: 10.1016/j.jmp.2025.102955

Huihua Shi , Bo Wang , Ning Gan , Jinjin Li

引用次数: 0

A dynamic model of context-based retrieval 基于上下文检索的动态模型

IF 1.5 4区心理学

Journal of Mathematical Psychology Pub Date : 2025-12-01 Epub Date: 2025-11-26 DOI: 10.1016/j.jmp.2025.102957

Madison D. Paron , James D. Paron , Michael J. Kahana

引用次数: 0

On Iverson’s law of similarity 关于艾弗森的相似定律

IF 1.5 4区心理学

Journal of Mathematical Psychology Pub Date : 2025-12-01 Epub Date: 2025-09-12 DOI: 10.1016/j.jmp.2025.102943

Eszter Gselmann , Christopher W. Doble , Yung-Fong Hsu

{"title":"On Iverson’s law of similarity","authors":"Eszter Gselmann , Christopher W. Doble , Yung-Fong Hsu","doi":"10.1016/j.jmp.2025.102943","DOIUrl":"10.1016/j.jmp.2025.102943","url":null,"abstract":"<div><div><span><span>Iverson (2006b)</span></span> proposed the law of similarity <span><span><span><math><mrow><msub><mrow><mi>ξ</mi></mrow><mrow><mi>s</mi></mrow></msub><mrow><mo>(</mo><mi>λ</mi><mi>x</mi><mo>)</mo></mrow><mo>=</mo><mi>γ</mi><mrow><mo>(</mo><mi>λ</mi><mo>,</mo><mi>s</mi><mo>)</mo></mrow><msub><mrow><mi>ξ</mi></mrow><mrow><mi>η</mi><mrow><mo>(</mo><mi>λ</mi><mo>,</mo><mi>s</mi><mo>)</mo></mrow></mrow></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span></span></span>for the sensitivity functions <span><math><mrow><msub><mrow><mi>ξ</mi></mrow><mrow><mi>s</mi></mrow></msub><mspace></mspace><mrow><mo>(</mo><mi>s</mi><mo>∈</mo><mi>S</mi><mo>)</mo></mrow></mrow></math></span>. Compared to the former models, the generality of this one lies in that here <span><math><mi>γ</mi></math></span> and <span><math><mi>η</mi></math></span> can also depend on the variables <span><math><mi>λ</mi></math></span> and <span><math><mi>s</mi></math></span>. In the literature, this model (or its special cases) is usually considered together with a given psychophysical representation (e.g. Fechnerian, subtractive, or affine). Our goal, however, is to study at first Iverson’s law of similarity on its own. We show that if certain mild assumptions are fulfilled, then <span><math><mi>ξ</mi></math></span> can be written in a rather simple form containing only one-variable functions. The obtained form proves to be very useful when we assume some kind of representation.</div><div>Motivated by <span><span>Hsu and Iverson (2016)</span></span>, we then study the above model assuming that the mapping <span><math><mi>η</mi></math></span> is multiplicatively translational. First, we show how these mappings can be characterized. Later we turn to the examination of Falmagne’s power law. According to our results, the corresponding function <span><math><mi>ξ</mi></math></span> can have a Fechnerian representation, and also it can have a subtractive representation. We close the paper with the study of the shift invariance property.</div></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":"127 ","pages":"Article 102943"},"PeriodicalIF":1.5,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145049728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Standardized mean difference effect sizes for interval-valued data. A distance-based approach 区间值数据的标准化平均差异效应大小。基于距离的方法

IF 1.5 4区心理学

Journal of Mathematical Psychology Pub Date : 2025-12-01 Epub Date: 2025-11-18 DOI: 10.1016/j.jmp.2025.102954

M. Asunción Lubiano , José García-García , Antonio L. García-Izquierdo , Ana M. Castaño

引用次数: 0

Characterization of countable and continuous Richter–Peleg multi-utility representations 可数连续Richter-Peleg多效用表示的表征

IF 1.5 4区心理学

Journal of Mathematical Psychology Pub Date : 2025-08-01 Epub Date: 2025-08-21 DOI: 10.1016/j.jmp.2025.102940

Gianni Bosi , Esteban Induráin , Ana Munárriz , Yeray R. Rincón

{"title":"Characterization of countable and continuous Richter–Peleg multi-utility representations","authors":"Gianni Bosi , Esteban Induráin , Ana Munárriz , Yeray R. Rincón","doi":"10.1016/j.jmp.2025.102940","DOIUrl":"10.1016/j.jmp.2025.102940","url":null,"abstract":"<div><div>This paper contributes to the theoretical literature on decision models where agents may encounter challenges in comparing alternatives. We introduce a characterization of countable Richter–Peleg multi-utility representations, both semicontinuous (upper and lower) and continuous, within preorders that may not be total. The proposed theorems provide a comprehensive mathematical framework, complementing previous results of Alcantud et al. and Bosi on countable multi-utility representations. Our characterizations establish necessary and sufficient conditions through topological properties and constructive methods via indicator functions. Furthermore, we introduce a topological framework aligned with the property of strong local non-satiation and provide a novel theorem containing sufficient conditions for the existence of countable upper semi-continuous multi-utility representations of a preorder. The results demonstrate that preference representations can be achieved using countably many functions rather than uncountable families, with implications for computational tractability and the identification of maximal elements in optimization contexts.</div></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":"126 ","pages":"Article 102940"},"PeriodicalIF":1.5,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144886895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Expected exponential discounting in inter-temporal decision making 跨期决策中的预期指数折现

IF 2.2 4区心理学

Journal of Mathematical Psychology Pub Date : 2025-08-01 Epub Date: 2025-05-30 DOI: 10.1016/j.jmp.2025.102927

Tom H. Rosenström , Alasdair I. Houston

引用次数: 0

Random utility without regularity 无规律性的随机效用

IF 2.2 4区心理学

Journal of Mathematical Psychology Pub Date : 2025-08-01 Epub Date: 2025-07-27 DOI: 10.1016/j.jmp.2025.102938

Johannes Müller-Trede , Michel Regenwetter

{"title":"Random utility without regularity","authors":"Johannes Müller-Trede , Michel Regenwetter","doi":"10.1016/j.jmp.2025.102938","DOIUrl":"10.1016/j.jmp.2025.102938","url":null,"abstract":"<div><div>Classical random utility models imply a consistency property called <em>regularity</em>. Decision makers who satisfy regularity are at least as likely to choose an option <span><math><mi>x</mi></math></span> from a set <span><math><mi>X</mi></math></span> of available options as from any larger set <span><math><mi>Y</mi></math></span> that contains <span><math><mi>X</mi></math></span>. In light of ample empirical evidence for context-dependent choice that violates regularity, some researchers have questioned the descriptive validity of all random utility models. In this article, we show that not all random utility models imply regularity. We propose a general framework for random utility models that accommodate context dependence and may violate regularity. Mathematically, like the classical models, context-dependent random utility models form convex polytopes. They yield behavioral predictions for those choice sets from which choices are made, by specifying combinations of preference rankings across two or more contexts. We discuss how context-dependent models can be less or more parsimonious than the classical models. Random utility models with or without regularity can be tested with contemporary methods of order-constrained inference.</div></div>","PeriodicalId":50140,"journal":{"name":"Journal of Mathematical Psychology","volume":"126 ","pages":"Article 102938"},"PeriodicalIF":2.2,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144713491","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0