In his book from the early 1800s, Essai Philosophique sur les Probabilités, the mathematician Pierre-Simon de Laplace anticipated many ideas developed in the 1970s in cognitive psychology and behavioral economics, explaining human tendencies to deviate from norms of rationality in the presence of probability and uncertainty. A look at Laplace's theories and reasoning is striking, both in how modern they seem and in how much progress he made without the benefit of systematic experimentation. We argue that this work points to these theories being more fundamental and less contingent on recent experimental findings than we might have thought.
数学家皮埃尔-西蒙·德·拉普拉斯(Pierre-Simon de Laplace)在他19世纪初的著作《论概率的哲学》(Essai Philosophique sur les probabilit)中预测了20世纪70年代认知心理学和行为经济学中发展起来的许多观点,解释了人类在概率和不确定性面前偏离理性规范的倾向。看看拉普拉斯的理论和推理是惊人的,既因为它们看起来是多么现代,也因为他在没有系统实验的情况下取得了多大的进步。我们认为,这项工作指出,这些理论比我们想象的更基本,更少依赖于最近的实验发现。
{"title":"Laplace's Theories of Cognitive Illusions, Heuristics, and Biases","authors":"J. Miller, A. Gelman","doi":"10.2139/ssrn.3149224","DOIUrl":"https://doi.org/10.2139/ssrn.3149224","url":null,"abstract":"In his book from the early 1800s, Essai Philosophique sur les Probabilités, the mathematician Pierre-Simon de Laplace anticipated many ideas developed in the 1970s in cognitive psychology and behavioral economics, explaining human tendencies to deviate from norms of rationality in the presence of probability and uncertainty. A look at Laplace's theories and reasoning is striking, both in how modern they seem and in how much progress he made without the benefit of systematic experimentation. We argue that this work points to these theories being more fundamental and less contingent on recent experimental findings than we might have thought.","PeriodicalId":166081,"journal":{"name":"CSN: Mathematics (Topic)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115992065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper we provide conditions under which a preference relation can be represented by concave utility functions. The condition follows naturally from a proof of a theorem about representability of continuous and weakly monotonic preference relations by continuous and weakly increasing utility functions due to Wold (1943). For continuous and homothetic (hence weakly monotonic) preference relations our sufficient condition for the existence of a numerical representation by a concave utility function is also a necessary condition for such a numerical representation. In fact we are able to obtain a necessary condition for numerical representation of a homothetic preference relation by a concave utility function which we call global concavifiability and which is much stronger than concavifiability. On the way, we pick up the result, that all homothetic and continuous preference relations which are convex are numerically representable by concave utility functions.
{"title":"Weakly Monotonic Preference Relations Representable by Concave Utility Functions - It's Easy","authors":"S. Lahiri","doi":"10.2139/ssrn.3088441","DOIUrl":"https://doi.org/10.2139/ssrn.3088441","url":null,"abstract":"In this paper we provide conditions under which a preference relation can be represented by concave utility functions. The condition follows naturally from a proof of a theorem about representability of continuous and weakly monotonic preference relations by continuous and weakly increasing utility functions due to Wold (1943). For continuous and homothetic (hence weakly monotonic) preference relations our sufficient condition for the existence of a numerical representation by a concave utility function is also a necessary condition for such a numerical representation. In fact we are able to obtain a necessary condition for numerical representation of a homothetic preference relation by a concave utility function which we call global concavifiability and which is much stronger than concavifiability. On the way, we pick up the result, that all homothetic and continuous preference relations which are convex are numerically representable by concave utility functions.","PeriodicalId":166081,"journal":{"name":"CSN: Mathematics (Topic)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117115503","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The purpose of the paper is to show that univariate GARCH is not a special case of multivariate GARCH, specifically the Full BEKK model, except under parametric restrictions on the off-diagonal elements of the random coefficient autoregressive coefficient matrix, provides the regularity conditions that arise from the underlying random coefficient autoregressive process, and for which the (quasi-) maximum likelihood estimates have valid asymptotic properties under the appropriate parametric restrictions. The paper provides a discussion of the stochastic processes, regularity conditions, and asymptotic properties of univariate and multivariate GARCH models. It is shown that the Full BEKK model, which in practice is estimated almost exclusively, has no underlying stochastic process, regularity conditions, or asymptotic properties.
{"title":"The Fiction of Full BEKK","authors":"Chia‐Lin Chang, M. McAleer","doi":"10.2139/ssrn.2995461","DOIUrl":"https://doi.org/10.2139/ssrn.2995461","url":null,"abstract":"The purpose of the paper is to show that univariate GARCH is not a special case of multivariate GARCH, specifically the Full BEKK model, except under parametric restrictions on the off-diagonal elements of the random coefficient autoregressive coefficient matrix, provides the regularity conditions that arise from the underlying random coefficient autoregressive process, and for which the (quasi-) maximum likelihood estimates have valid asymptotic properties under the appropriate parametric restrictions. The paper provides a discussion of the stochastic processes, regularity conditions, and asymptotic properties of univariate and multivariate GARCH models. It is shown that the Full BEKK model, which in practice is estimated almost exclusively, has no underlying stochastic process, regularity conditions, or asymptotic properties.","PeriodicalId":166081,"journal":{"name":"CSN: Mathematics (Topic)","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133643620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The objective of this Research was to compare the average of exercises and the Achievement of Statistic Learning between the Cooperative Learning by Student Teams-Achievement Divisions method (STAD) and the normal study method. The experimental were selected into 2 groups of 40 students of Business Administration Faculty in Academic Year 2015, St. Theresa International College. The assessment was done and stated that:1) The significant of exercise average in Cooperative Learning by Student Teams-Achievement Divisions method (STAD) higher than the normal study method .01;2) The Achievement of Statistic Learning in Cooperative Learning by Student Teams-Achievement Divisions method (STAD) higher than the normal study method .01.
{"title":"Cooperative Learning by Student Teams - Achievement Divisions Method (STAD) in Statistic Learning of St. Theresa International College's Students in Nakhorn Nayok Province, Thailand","authors":"Bandyopadhyay Dwiptendra, Vichian Puncreobutr","doi":"10.2139/ssrn.2849350","DOIUrl":"https://doi.org/10.2139/ssrn.2849350","url":null,"abstract":"The objective of this Research was to compare the average of exercises and the Achievement of Statistic Learning between the Cooperative Learning by Student Teams-Achievement Divisions method (STAD) and the normal study method. The experimental were selected into 2 groups of 40 students of Business Administration Faculty in Academic Year 2015, St. Theresa International College. The assessment was done and stated that:1) The significant of exercise average in Cooperative Learning by Student Teams-Achievement Divisions method (STAD) higher than the normal study method .01;2) The Achievement of Statistic Learning in Cooperative Learning by Student Teams-Achievement Divisions method (STAD) higher than the normal study method .01.","PeriodicalId":166081,"journal":{"name":"CSN: Mathematics (Topic)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126658139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
What does the term “Infinity” mean? There are mathematical, physical and metaphysical definitions of the concept of limitlessness. This study will focus on the scription of the three philosophical foundations of mathematics – formalism, intuitionism and logicism – in set theory. Examples will also be provided of the concept of infinity for these three schools of thought. However, none of them cannot prove whether there is an infinite set or the existence of infinity. It forms the foundational crisis of mathematics. Further elaboration on these schools of philosophy leads to the ideas of actual, potential and absolute boundlessness. These correspond to three basic aforementioned definitions of infinity. Indeed for example, by using Basic Metaphor Infinity, cognitive mechanisms such as conceptual metaphors and aspects, one can appreciate the transfinite cardinals’ beauty fully (Nũnez, 2005). This implies the portraiture for endless is anthropomorphic. In other words, because there is a connection between art and mathematics through infinity, one can enjoy the elegance of boundlessness (Maor, 1986). Actually, in essence this is what mathematics is: the science of researching the limitless.
{"title":"The Philosophical Implications of Set Theory in Infinity","authors":"K. Lam","doi":"10.2139/ssrn.2815293","DOIUrl":"https://doi.org/10.2139/ssrn.2815293","url":null,"abstract":"What does the term “Infinity” mean? There are mathematical, physical and metaphysical definitions of the concept of limitlessness. This study will focus on the scription of the three philosophical foundations of mathematics – formalism, intuitionism and logicism – in set theory. Examples will also be provided of the concept of infinity for these three schools of thought. However, none of them cannot prove whether there is an infinite set or the existence of infinity. It forms the foundational crisis of mathematics. Further elaboration on these schools of philosophy leads to the ideas of actual, potential and absolute boundlessness. These correspond to three basic aforementioned definitions of infinity. Indeed for example, by using Basic Metaphor Infinity, cognitive mechanisms such as conceptual metaphors and aspects, one can appreciate the transfinite cardinals’ beauty fully (Nũnez, 2005). This implies the portraiture for endless is anthropomorphic. In other words, because there is a connection between art and mathematics through infinity, one can enjoy the elegance of boundlessness (Maor, 1986). Actually, in essence this is what mathematics is: the science of researching the limitless.","PeriodicalId":166081,"journal":{"name":"CSN: Mathematics (Topic)","volume":"150 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127271461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper will provide information on what a hypercube is and how to use them in graphing the financial markets, especially in the Poseidon software that I am developing. What types of hypercubes are there? How to describe the market in higher dimensions? What are the common variables to use in a hypercube? These questions will be explored and expounded upon. Lately, an exploration of future research in quantitative finance is presented, especially in the realm of artificial intelligence and virtual reality.
{"title":"Hypercubes and the Future","authors":"P. Cottrell","doi":"10.2139/ssrn.2776969","DOIUrl":"https://doi.org/10.2139/ssrn.2776969","url":null,"abstract":"This paper will provide information on what a hypercube is and how to use them in graphing the financial markets, especially in the Poseidon software that I am developing. What types of hypercubes are there? How to describe the market in higher dimensions? What are the common variables to use in a hypercube? These questions will be explored and expounded upon. Lately, an exploration of future research in quantitative finance is presented, especially in the realm of artificial intelligence and virtual reality.","PeriodicalId":166081,"journal":{"name":"CSN: Mathematics (Topic)","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121656636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kant's transcendental philosophy (transcendentalism) is associated with the study and substantiation of objective validity both “a human mode of cognition” as whole, and specific kinds of our cognition (resp. knowledge) [KrV, B 25]. This article is devoted to Kant’s theory of the construction of mathematical concepts and his understanding (substantiation) of mathematics as cognition “through construction of concepts in intuition” [KrV, B 752] (see also: “to construct a concept means to exhibit a priori the intuition corresponding to it”; [KrV, Â 741]). Unlike the natural sciences the mathematics is an abstract – formal cognition (knowledge), its thoroughness “is grounded on definitions, axioms, and demonstrations” [KrV, B 754]. The article consequently analyzes each of these components. Mathematical objects, unlike the specific ‘physical’ objects, have an abstract character (a–objects vs. the–objects) and they are determined by Hume’s principle (Hume – Frege principle of abstraction). Transcendentalism considers the question of genesis and ontological status of mathematical concepts. To solve them Kant suggests the doctrine of schematism (Kant’s schemata are “acts of pure thought" [KrV, B 81]), which is compared with the contemporary theories of mathematics. We develop the dating back to Kant original concept of the transcendental constructivism (pragmatism) as the as the program of foundation of mathematics. “Constructive” understanding of mathematical acts is a significant innovation of Kant. Thus mathematical activity is considered as a two-level system, which supposes a “descent” from the level of rational under-standing to the level of sensual contemplation and a return “rise”. In his theory Kant highlights ostensive (geometric) and symbolic (algebraic) constructing. The article analyses each of them and shows that it is applicable to modern mathematics, in activity of which both types of Kant's constructing are intertwined
康德的先验哲学(先验主义)与客观有效性的研究和证实有关,既包括整体的“一种人类的认知方式”,也包括我们的特定的认知方式(见第2章)。知识)[KrV, B 25]。本文致力于探讨康德关于数学概念建构的理论,以及他对数学作为“通过概念在直觉中的建构”的认知的理解(实证化)[KrV, B 752](另见:“建构一个概念意味着先验地展示与之相对应的直觉”;[KrV, Â 741])。与自然科学不同,数学是一种抽象的形式认知(知识),它的彻彻性“建立在定义、公理和论证的基础上”[KrV, B 754]。因此,本文将分析每一个组成部分。数学对象与具体的“物理”对象不同,具有抽象的特征(a-objects vs - the - objects),它们是由休谟原则(休谟-弗雷格抽象原则)决定的。先验主义考虑数学概念的起源和本体论地位问题。为了解决这些问题,康德提出了模式主义学说(康德的模式是“纯粹思维的行为”[KrV, B 81]),并将其与当代数学理论进行了比较。我们发展了可以追溯到康德原始概念的先验建构主义(实用主义)作为数学基础的纲领。对数学行为的“建设性”理解是康德的一项重大创新。因此,数学活动被认为是一个两级系统,它假设从理性理解的水平“下降”到感性沉思的水平,并返回“上升”。在他的理论中,康德强调了明示(几何)和象征(代数)的建构。本文分析了这两种类型,并指出它适用于现代数学,在现代数学的活动中,这两种类型的康德建构是交织在一起的
{"title":"Transcendental Analysis of Mathematics: The Transcendental Constructivism (Pragmatism) as the Program of Foundation of Mathematics","authors":"S. Katrechko","doi":"10.2139/ssrn.2676626","DOIUrl":"https://doi.org/10.2139/ssrn.2676626","url":null,"abstract":"Kant's transcendental philosophy (transcendentalism) is associated with the study and substantiation of objective validity both “a human mode of cognition” as whole, and specific kinds of our cognition (resp. knowledge) [KrV, B 25]. This article is devoted to Kant’s theory of the construction of mathematical concepts and his understanding (substantiation) of mathematics as cognition “through construction of concepts in intuition” [KrV, B 752] (see also: “to construct a concept means to exhibit a priori the intuition corresponding to it”; [KrV, Â 741]). Unlike the natural sciences the mathematics is an abstract – formal cognition (knowledge), its thoroughness “is grounded on definitions, axioms, and demonstrations” [KrV, B 754]. The article consequently analyzes each of these components. Mathematical objects, unlike the specific ‘physical’ objects, have an abstract character (a–objects vs. the–objects) and they are determined by Hume’s principle (Hume – Frege principle of abstraction). Transcendentalism considers the question of genesis and ontological status of mathematical concepts. To solve them Kant suggests the doctrine of schematism (Kant’s schemata are “acts of pure thought\" [KrV, B 81]), which is compared with the contemporary theories of mathematics. We develop the dating back to Kant original concept of the transcendental constructivism (pragmatism) as the as the program of foundation of mathematics. “Constructive” understanding of mathematical acts is a significant innovation of Kant. Thus mathematical activity is considered as a two-level system, which supposes a “descent” from the level of rational under-standing to the level of sensual contemplation and a return “rise”. In his theory Kant highlights ostensive (geometric) and symbolic (algebraic) constructing. The article analyses each of them and shows that it is applicable to modern mathematics, in activity of which both types of Kant's constructing are intertwined","PeriodicalId":166081,"journal":{"name":"CSN: Mathematics (Topic)","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129066894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this article we develop a completely new method of microeconomic optimization of a retail outlet. It shows how many substitute goods of each kind a firm should purchase within a trading period in order to maximize its profit given the purchase prices, trade margins and the preference structure of the customer base (i.e. a share of potential customers who prefer good A to good B, a share of customers who prefer good B to good A and an indifferent, "neutral" share, respectively). The element of uncertainty emerges due to the fact that the order in which the customers come to the outlet is not defined in advance. The method uses combinatorics and probability theory. The practical application of the method can be, particularly, airline meal optimization.
{"title":"Microeconomic Optimization of a Retail Outlet: Combinatorial and Probability Theory Methods","authors":"Savva Shanaev, Mikhail Vasenin","doi":"10.2139/ssrn.2593471","DOIUrl":"https://doi.org/10.2139/ssrn.2593471","url":null,"abstract":"In this article we develop a completely new method of microeconomic optimization of a retail outlet. It shows how many substitute goods of each kind a firm should purchase within a trading period in order to maximize its profit given the purchase prices, trade margins and the preference structure of the customer base (i.e. a share of potential customers who prefer good A to good B, a share of customers who prefer good B to good A and an indifferent, \"neutral\" share, respectively). The element of uncertainty emerges due to the fact that the order in which the customers come to the outlet is not defined in advance. The method uses combinatorics and probability theory. The practical application of the method can be, particularly, airline meal optimization.","PeriodicalId":166081,"journal":{"name":"CSN: Mathematics (Topic)","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125519028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Cross-efficiency evaluation is an effective way of ranking decision-making units (DMUs) in data envelopment analysis (DEA) and can be performed with different formulations (aggressive or benevolent), secondary goals and models. In this paper we use neutral formulation for cross-efficiency aggregation. The neutral formulation determines one set of input and output weights for each DMU from its own point of view without being aggressive or benevolent to the other DMUs. Existing approaches for cross-efficiency evaluation are mainly focused on the calculation of cross-efficiency matrix, but pay little attention to the aggregation of the efficiencies in the cross-efficiency matrix. This paper focuses on the use of ordered weighted averaging (OWA) operator weights for cross-efficiency aggregation. The use of OWA operator weights allows the decision maker (DM)’s optimism level towards the best relative efficiencies. But in real world, we are often conformed to ambiguous and uncertain data. So, there is an undeniable need for fuzzy logic to evaluate the efficiency unit.
{"title":"Cross-Efficiency Aggregation by OWA Operator Weights with Fuzzy Data","authors":"F. Adjogble, Elham Rostamiyan","doi":"10.2139/ssrn.2392955","DOIUrl":"https://doi.org/10.2139/ssrn.2392955","url":null,"abstract":"Cross-efficiency evaluation is an effective way of ranking decision-making units (DMUs) in data envelopment analysis (DEA) and can be performed with different formulations (aggressive or benevolent), secondary goals and models. In this paper we use neutral formulation for cross-efficiency aggregation. The neutral formulation determines one set of input and output weights for each DMU from its own point of view without being aggressive or benevolent to the other DMUs. Existing approaches for cross-efficiency evaluation are mainly focused on the calculation of cross-efficiency matrix, but pay little attention to the aggregation of the efficiencies in the cross-efficiency matrix. This paper focuses on the use of ordered weighted averaging (OWA) operator weights for cross-efficiency aggregation. The use of OWA operator weights allows the decision maker (DM)’s optimism level towards the best relative efficiencies. But in real world, we are often conformed to ambiguous and uncertain data. So, there is an undeniable need for fuzzy logic to evaluate the efficiency unit.","PeriodicalId":166081,"journal":{"name":"CSN: Mathematics (Topic)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132773458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Numerical precision – unusually precise or sharp numbers – can trigger heuristic processing and influence judgments. Numerical precision triggers heuristic processing because it causes computational difficulty or encoding difficulty. The authors propose that the discrepancy attribution model can offer a parsimonious explanation for the effects of numerical precision on everyday judgments.
{"title":"The Precision Effect: How Numerical Precision Influences Everyday Judgments","authors":"Manoj. T. Thomas, Joowon Park","doi":"10.2139/ssrn.2229833","DOIUrl":"https://doi.org/10.2139/ssrn.2229833","url":null,"abstract":"Numerical precision – unusually precise or sharp numbers – can trigger heuristic processing and influence judgments. Numerical precision triggers heuristic processing because it causes computational difficulty or encoding difficulty. The authors propose that the discrepancy attribution model can offer a parsimonious explanation for the effects of numerical precision on everyday judgments.","PeriodicalId":166081,"journal":{"name":"CSN: Mathematics (Topic)","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130693162","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}