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Publications related to Mathematical Economics (1,507)
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This article tries to discuss profit maximization policies by using four variable inputs, such as capital, labor, principal raw materials, and other inputs in an industry, where mathematical economic models are applied by considering budget constraint. For the sustainable production, every industry should apply scientific method, such as mathematic...
Presentation
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Slide presentasi tentang Model Ekonomi merujuk buku karya Alpha C. Chiang & Kevin Mainwright berjudul "Fundamental Methods of Mathematical Economics" edisi ke 4 diterbitkan oleh McGraw-Hill tahun 2005. Presentasi terdiri dari 6 slide yakni The meaning of equilibrium, Linear partial market equilibrium model, Non-linear partial market equilibrium, Ge...
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Slide presentasi tentang Model Ekonomi merujuk buku karya Alpha C. Chiang & Kevin Mainwright berjudul "Fundamental Methods of Mathematical Economics" edisi ke 4 diterbitkan oleh McGraw-Hill tahun 2005. Presentasi terdiri dari 6 slide yakni model matematika, Sistem bilangan riil, Himpunan, Relasi & fungsi, Jenis fungsi, dan Fungsi 2 variabel atau le...
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جامعة الموصل كلية الادارة والاقتصاد قسم الاقتصاد
Article
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On taking the intermediate value theorem (IVT) and its converse as a point of departure, this paper connects the intermediate value property (IVP) to the continuity postulate typically assumed in mathematical economics, and to the solvability axiom typically assumed in mathematical psychology. This connection takes the form of four portmanteau theo...
Article
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This research aims to try to Construct a comprehensive composite index of good governance in Algeria based on sub-indicators recently approved by the World Bank. The research discussed, through analysis, the characteristics, principles and indicators of good governance and its dimensions. A mathematical economic model was also developed to measure...
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The primary aim of the present Special Issue is to provide a forum for the exchange of ideas and results regarding Rational Economic Theories and Quantitative Finance, expressing economic and financial theoretical structures, along with their dynamic laws, through the adoption of a formal and well-posed mathematical approach, mathematical decision...
Article
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This paper presents four theorems that connect continuity postulates in mathematical economics to solvability axioms in mathematical psychology, and ranks them under alternative supplementary assumptions. Theorem 1 connects notions of continuity (full, separate, Wold, weak Wold, Archimedean, mixture) with those of solvability (restricted, unrestric...
Article
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The significant of studying mathematical economics in colleges of education in Nigeria cannot be over emphasis because of the vital role it plays in enhancement of growth and development of the nation. A shortfall in the knowledge of the students in the area would led to failure in dream goal, therefore the need to improve strategies in developing...
Article
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We consider cooperatives games (TU-games) enriched by a system of a priori unions and a communication forest graph which are independent from each other. These two structures reflect the limitations of cooperation possibilities. In this framework, we introduce four Owen-type allocation rules, which are defined by a two-step application of an alloca...
Presentation
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Spatial Geo-technologies, such as geographic information systems (GIS), Global Navigation Satellite System (GNSS), and remote sensing, have become increasingly important in preparing students to be tomorrow's decision-makers, according to a growing number of educators around the world. Dealing with the 21st century's local, regional, and global iss...
Article
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Accounts of Nicholas Georgescu-Roegen’s career usually focus on his pioneer contributions to mathematical economics during the 1930s and his later conversion to a critical approach to economic theory anchored on the entropy law. These disparate moments, however, were connected by Georgescu-Roegen’s strong attraction to the study of problems afflict...
Article
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Econometric knowledge is distinguished and formed as a result of the interdependence and development of disciplines such as economic theory, economic mathematics, economic statistics, probability theory, and mathematical statistics. Econometrics shapes its subject, purpose, and research. At the same time, the content of econometrics, its compositio...
Article
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As the information carrier of the social economy, the quality of statistical data has become more concerned and sensitive in the society and the data quality of GDP, as one of the core aggregate indicators of national economic accounting, has received more extensive attention. Government statistical departments have placed data quality in a strateg...
Conference Paper
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Elicitation of requirements is an essential part of the software development process. It is critical for assessing the performance of software projects, particularly those using mobile apps. Games are not new to the process of teaching and learning but educational games in a cultural context have also developed into digital games via advancements i...
Book
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Ce livre a pour objet de retracer les liens entre mathématiques et analyse économique. Il étudie ces relations sur le mode historique, du xviie siècle jusqu’à nos jours. Il dresse ainsi une généalogie de l’économie quantitative sous ses deux formes principales : économie mathématique et économétrie. The purpose of this book is to trace the links b...
Article
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This study aimed to develop a blended learning program for mathematical economics course to meet both valid and practical aspects. The Rowntree and the Tessmer formative evaluation model was used in this study to describe three stages of the development process, namely planning, development and evaluation. The participants of this research comprise...
Article
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This paper aims to provide a comprehensive feasibility study for the installation of a 100 MW wind power plant using the INVELOX system in Manjil, Gilan, in Northern Iran. In the first part of the paper, we provide a review of the status of wind energy installation in Iran. We then review the mathematical equations involved in wind power calcul...
Preprint
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In this paper, we give three different new proofs of the validity of the geometry conjecture about cycles of projections onto nonempty closed, convex subsets of a Hilbert space. The first uses a simple minimax theorem, which depends on the finite dimensional Hahn-Banach theorem. The second uses Fan's inequality, which has found many applications in...
Article
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In this paper, we study the turnpike phenomenon for trajectories of continuous-time dynamical systems generated by differential inclusions, which have a prototype in mathematical economics. In particular, we show that, if the differential inclusion has a certain symmetric property, the turnpike possesses the corresponding symmetric property. If we...
Article
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We examine two very different approaches to formalising real computation, commonly referred to as “Computable Analysis” and “the BSS approach”. The main models of computation underlying these approaches—bit computation (or Type-2 Effectivity) and BSS, respectively—have also been put forward as appropriate foundations for scientific computing. The t...
Article
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Financial mathematics in share market is the merchandise of applying mathematics to portfolio choice theory and option pricing theory. With the rapid development of the profitable situation, the products and derivatives of the financial industry are continuously optimized and innovative, and new financial goods and services are gradually increasing...
Article
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In today's conditions, the development and competitiveness of countries is realized with the intellectual capital they have. Due to the influence of the information age and globalization in which we are located, the ability to guide changes in many issues related to society can only be realized with the importance given to information and investmen...
Preprint
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Cake-cutting is a playful name for the fair division of a heterogeneous, divisible good among agents, a well-studied problem at the intersection of mathematics, economics, and artificial intelligence. The cake-cutting literature is rich and edifying. However, different model assumptions are made in its many papers, in particular regarding the set o...
Chapter
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En este capítulo se presenta una propuesta de estrategia docente a partir de la experiencia de los autores, tras la puesta en marcha de varios proyectos de innovación docente en una serie de asignaturas con características similares. En concreto, todas las asignaturas que han participado en la consolidación de este modelo son del área de Economía A...
Article
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In this note, we define Meir-Keeler contraction in -metric spaces. Further, by adding the concept of -admissible mappings, we define generalized -Meir-Keeler contraction and used it for examining the existence and uniqueness of fixed points. Various results are also given as a consequence of our results. 1. Introduction and Preliminaries The Banac...
Chapter
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This chapter covers definitions of econometrics and then briefly discusses what is financial econometrics? How is financial econometrics is different from the mathematical economics, economic statistics, mathematical statistics, and others also covered? Then a brief history of econometrics is covered such as how it evolves over a period of time and...
Article
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Резюме: Харолд Хотелинг е влиятелен учен-статистик, работил в началото на 20-и век, включително в областта на кономическата теория. Трудовете му имат основополагаща роля за съвременната икономика и отварят пътя за нови изследователски въпроси в стопанската наука. Най-известна е работата му върху решението на проблема с изчерпаемите ресур- си. Хотел...
Article
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Under uncertainty, the analytical behavior of fractional differential equations is frequently puzzling and difficult to predict. As a result, it's necessary to develop a suitable, comprehensive , and highly effective theory to solve these challenges. The fuzzy fractional differential equation theory is a relatively recent concept that has applicati...
Article
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In the field of economic research, most of the sample data is not obtained based on controllable experiments but generated during the normal operation of the economic system. Therefore, the change of an economic variable is usually not caused by a single change of a cause variable. It is the result of a combination of multiple factors. Therefore, i...
Preprint
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We characterize a rich class of valuated matroids, called R-minor valuated matroids that includes the indicator functions of matroids, and is closed under operations such as taking minors, duality, and induction by network. We refute the refinement of a 2003 conjecture by Frank, exhibiting valuated matroids that are not R-minor. The family of count...
Book
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This book presents the history of economic thought as it relates to today’s most pressing problems, and it emphasizes the critical connection that exists between what may seem cold, unrealistic mathematical economic models, and the quality of everyday life of any citizen of the planet earth. It shows how contemporary developments in neoclassical th...
Article
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The Cobb-Douglas production function in the field of economics has a long history. In mathematical economics, it is used to find the functional relationship between the economic inputs and potential outputs. This study applies the Cobb-Douglas production function to predict the cost minimization policies of a running garments industry of Bangladesh...
Article
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In modern algebra, the correlation between the derivations and the algebraic structures of quotient rings has become an exciting subject during the last few decades. In particular, the derivations and their generalizations play a major role in mathematics, economics, quantum physics, and biology such as in chemotherapy. The main purpose of this art...
Article
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With the continuous upgrade of consumption structure, the supply and demand contradictions continue to deepen, and the Ministry of Finance issued by the Ministry of Finance in October 2014 stipulates that the six major industries can adopt accelerated depreciation of newly purchased fixed assets. The purpose of item initiative is to further promote...
Article
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The subject of the present paper are stability properties of the solution set to set-valued inclusions. The latter are problems emerging in robust optimization and mathematical economics, which can not be cast in traditional generalized equations. The analysis here reported focuses on several quantitative forms of semicontinuity for set-valued mapp...
Article
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In this paper, we propose three new axiomatizations of the Owen value, similar as the axiomatizations of the Shapley value of Chun (Int J Game Theory 20(2):183–190, 1991), van den Brink (Int J Game Theory 30(3):309–319, 2002), and Manuel et al. (Math Methods Oper Res 77:1–14, 2013), respectively. Firstly, we show that the additivity and null player...
Chapter
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Un fenómeno constante dentro de los programas de pregrado de economía es la falta de interés de los estudiantes en cursar espacios académicos como cálculo, economía matemática y econometría. Parte de la dificultad, evidenciada por los docentes, la generan las siguientes tres circunstancias: primera, problemas de tipo cognoscitivo, pues las bases me...
Article
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In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly -convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities for -convex and convex functions. Also, error estimations of Caputo fractional derivative Hadamar...
Article
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Teaching econometrics has been studied by a number of researchers, however, there is little information available on the quality of examination and on simplification of tests for demonstration the high-quality knowledge by students in concrete topics of econometrics or mathematical economics.One can note the following main goals of studying the bas...
Article
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We root this tribute to Nicholas Yannelis in Chapter II of his 1983 Rochester Ph.D. dissertation, and in his 1983 paper with Prabhakar: this work strengthens the lower semicontinuity assumption of Michael’s continuous selection theorem to open lower sections, and leads to correspondences defined on a paracompact space with values on a Hausdorff lin...
Article
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In this work, we obtain a weak version of the turnpike property of trajectories of perturbed discrete disperse dynamical systems, which have a prototype in mathematical economics.
Article
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Ruptures represent the pertinent cause of scientific progress. On the one hand, such “scientific breaks” demarcate one type of scientific discourse from another, while simultaneously always putting in place some specific ideological aspect of the science in question. They consequently suture a determinate scientific totality, one that always reflec...
Article
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The Anna Karenina principle is named after the opening sentence in the eponymous novel: Happy families are all alike; every unhappy family is unhappy in its own way. The two envelopes problem (TEP) is a much‐studied paradox in probability theory, mathematical economics, logic and philosophy. Time and again a new analysis is published in which an au...
Article
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This paper investigates fixed points of Reich-Suzuki-type nonexpansive mappings in the context of uniformly convex Banach spaces through an iterative method. Under some appropriate situations, some strong and weak convergence theorems are established. To support our results, a new example of Reich-Suzuki-type nonexpansive mappings is presented whic...
Article
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This aim of this paper is to provide the immune particle swarm optimization (IPSO) algorithm for solving the single-leader–multi-follower game (SLMFG). Through cooperating with the particle swarm optimization (PSO) algorithm and an immune memory mechanism, the IPSO algorithm is designed. Furthermore, we define the efficient Nash equilibrium from th...
Preprint
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Abstract. The report presents and substantiates the author's point of view on mathematical Economics as an art form close to the drawing art, adapted to multidimensional spaces. As a justification for this point of view, it is argued that both the visualization of economic ideas and their formal mathematical representation are metaphors used in sci...
Presentation
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*Calculate the cofactors of a 3 × 3 matrix. ● Use cofactors to find the determinant and inverse of a 3 × 3 matrix. ● Use matrix inverses to solve systems of linear equations arising in economics.
Article
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In this paper, we establish fixed point theorems for Chatterjea contraction mappings on a generalized metric space endowed with a graph. Our results extend, generalize, and improve many of existing theorems in the literature. Moreover, some examples and an application to matrix equations are given to support our main result. 1. Introduction Fixed...
Article
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The motivation for our consideration comes from the fuzzy set theory in a potential relation to quantum theories and mathematical economics: Given a certain non-additive assignment on a Boolean algebra (a kind of “belief measure”), can this assignment be extended over a larger Boolean algebra? We answer this question in the affirmative. By examinin...
Presentation
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The sustainability of natural resources has created new challenges in decision theory, mathematical economics, and game theory. Green deals are now considered the main strategic objectives in economic theory and of even more relevance to policy makers, “mathematical green economics” have been proven to contribute to many sustainability issues. Our...
Preprint
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In mathematical economics, the used functions are, in general, considered to be quasiconcave. Moreover, they are, in many cases, separable of nature. It is known that a local maximum of a quasiconcave function is not, in general, a global maximum. In this paper we will show that this property is true when the quasiconcave function is furthermore se...
Preprint
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Our goal in this work is to present some mean value type theorems that are not studied in classic calculus and analysis courses. They are simple theorems yet with large applicability in mathematical analysis (for example, in the study of functional equations and integral operators), computational mathematics, economics among other areas.
Presentation
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Macroeconomics is concerned with the analysis of economic theory and policy at a national level. In this section we focus on one particular aspect known as national income determination. We describe how to set up simple models of the national economy which enable equilibrium levels of income to be calculated. Initially we assume that the economy is...
Presentation
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For a two-commodity market the equilibrium prices and quantities can be found by solving a system of two simultaneous equations. Exactly the same procedure can be applied to a three-commodity market, which requires the solution of a system of three simultaneous equations
Preprint
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Many still rightly wonder whether accounting numbers affect business value. Basic questions are why? and how? I aim at promoting an objective choice on how optimizing the most suitable valuation methods under a value-based management framework through some performance measurement systems. First, I present a comprehensive review of valuation methods...
Article
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Many still rightly wonder whether accounting numbers affect business value. Basic questions are “why?” and “how?” We aim at promoting an objective choice on how optimizing the most suitable valuation methods under a “value-based management” framework through some performance measurement systems. First, we present a comprehensive review of valuation...
Article
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Studying applications of mathematics, economics and behavioral sciences for various problems in business education seems to be prerequisite because its applied nature is obvious. So far, the public sector management and the decision making manner in this sector significantly differed from the private sector. However, public management has undergone...
Preprint
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Accounts of Nicholas Georgescu-Roegen’s career usually focus on his pioneer contributions to mathematical economics during the 1930s and his later conversion to a critical approach to economic theory anchored on the entropy law. These disparate moments, however, were connected by Georgescu-Roegen’s strong attraction to the study of problems afflict...
Book
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LECCIONES DE ECONOMÍA estudia los contenidos de las Guías Docentes de los primeros cursos de Introducción a la Economía, Microeconomía y Macroeconomía de los grados y licenciaturas en ciencias sociales de las universidades españolas y latinoamericanas. La presente es una versión renovada y ampliada de las tres ediciones de LECCIONES DE ECONOMÍA PAR...
Presentation
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Manuscript Topics Sustainability of natural resources (in a wide sense: air, water, food, etc...) and human life on earth are now worldwide considered as fundamentally important objectives and needs in the economic theory and they reveal themselves of even more basic relevance to policy makers and to human population itself. In those directions, de...
Book
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On April, 21 2020, the Insititut of Advanced Studies of the University of Siegen (“Forschungskolleg Siegen”) hosted a virtual conference on digitization. While hosting a purely digital event is well suited for a conference that seeks to discuss topics at the edges of innovation, it was also triggered by the current Corona pandemic. Therefore, we ho...
Preprint
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This work promotes new methods in Mathematical Modeling, consisting in the use of the methods of Non-standard Analysis in Topoi, having as its main purpose, the mathematical definitions of the pseudoparticles from the title, with arguments from Biology/Physiology (Mathematical Neuroscience), Physics (String Theory and Emergent Quantum Mechanics), a...
Article
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Abstract: The aim of this research work is to analyze growth and convergence processes in the service sector and its large groups, market, and non-market services, at the regional level in Ecuador by taking the labor productivity variable as a reference. The methodology used is an analysis of distributive dynamics of the data, applying the non-para...
Article
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The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. We study the existence and compactness of solution sets and the u.s.c. of operator solutions. 1. Introduction In the past twenty...
Article
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The twenty-first-century classroom comes with changes in instructional delivery. This has demanded a paradigm shift on pedagogical practices. In the Nigerian context, literature is scarce on the impact of two-dimensional (2D) animation on students' achievement. Thus, this study explored the impact of 2D animation technique on students' achievement...
Article
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The main contribution of the paper is the proof that any element in the convex hull of a decomposably antichain-convex set is Pareto dominated by at least one element of that set. Building on this result, the paper demonstrates the disjointness of the convex hulls of two disjoint decomposably antichain-convex sets, under the assumption that one of...
Preprint
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In a 1983 paper, Yannelis-Prabhakar rely on Michael's selection theorem to guarantee a continuous selection in the context of the existence of maximal elements and equilibria in abstract economies. In this tribute to Nicholas Yannelis, we root this paper in Chapter II of Yannelis' 1983 Rochester Ph.D. dissertation, and identify its pioneering appli...
Article
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Calyampudi Radhakrishna Rao (Henceforth Dr. Rao for brevity, the way several of his students had always addressed him) will be celebrating his birth centenary on September 10 of 2020. Dr. Rao is an outstanding mathematician, statistician, computational methods expert, biometrician, psychometrician, and an econometrician. He is also popularly known...
Article
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Industrial relocation and its environmental impact attract widespread attention. We incorporated environmental elements into the decision-making framework of industrial relocation and developed a mathematical economics model. With this model, we investigated the impact of environmental regulation on industrial relocation; we also compared the envir...
Article
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Debates on how to fully incorporate the macroeconomics of developing countries into mainstream digital economics and economy is inconclusiveness with mixed outcome especially due to huge power infrastructure constraints. Yet the economic impact of the internet is widely documented. Thus, this called for a mathematical economics research. This is to...
Preprint
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The indirect transactions between sectors of an economic system has been a long-standing open problem. There have been numerous attempts to conceptually define and mathematically formulate this notion in various other scientific fields in literature as well. The existing direct and indirect effects formulations, however, can neither determine the d...
Preprint
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The indirect transactions between sectors of an economic system has been a long-standing open problem. There have been numerous attempts to define and mathematically formulate this concept in various other scientific fields in literature as well. The existing indirect effects formulations, however, can neither determine the direct and indirect tran...
Article
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Decision-making is an interdisciplinary area that has roots in mathematics, economics, and social science. Multiple-criteria group decision-making (MCGDM) is one of the most applicable areas of decision-making. Social cognition is involved in group decision-making. Therefore, it is necessary to address how decision makers (DMs) process and apply ju...
Article
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p class="JRPMAbstractBodyEnglish">The purpose of this study is to improve students’ creativity through problem solving learning. Students’ creativity is an important issue in Mathematics Economics class. Some of the problems that occur are (1) the lack of students in asking questions; (2) low idea of students; (3) lack of courage in expressing opin...
Article
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Mathematical economics is a theoretical and applied science in which economic objects, processes, and phenomena are described by using mathematically formalized language [...]
Article
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Previous studies have revealed the role of relative performance information feedback on providing agent incentives under a relative rewarding scheme through laboratory experiments. This study examines the impact of relative performance information feedback of students’ performance on their examination score under the relative grading scheme in an a...
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Its a mathematical economic approach to assembling the right conditions for uploading the economies of less developed countries into the electronic World/eWorld
Article
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China’s development shows that its industrial development level has a great correlation with the establishment of mathematical economic models. China’s industrial trade has become more and more mathematical and quantitative, and the creation of mathematical economic models will run through all aspects of China’s industrial trade. This paper is a si...
Article
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The interest in the theory of set-valued mappings is caused by many reasons. This intensely developing branch of mathematics has lot in common with topology, nonlinear, convex and non-smooth analysis, the theory of functions and ordinary or partial differential equations. Many results of this theory have found interesting applications in game theor...
Preprint
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The Anna Karenina principle is named after the opening sentence in the eponymous novel: Happy families are all alike; every unhappy family is unhappy in its own way. The Two Envelopes Problem (TEP) is a much-studied paradox in probability theory, mathematical economics, logic, and philosophy. Time and again a new analysis is published in which an a...
Article
Full-text available
Matrix theory plays a very important role in teaching Mathematics and solving mathematical problems. Studying the theory of matrix can help academics, practitioners, and students solve many problems in Engineering, Econometrics, Finance, Economics, Optimization, Decision Sciences, and many other areas. To review the matrix theory with applications,...
Article
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Big Data (BD) refers to the ability to process data with the following characteristics: velocity, variety, and volume. Analytics include the ability to get different points of view from data by manipulating the data using statistics, mathematics, economics, simulations, optimizations, or other techniques that will enhance the decision making of bus...
Article
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We consider a quasi-metric topological structure for the construction of a new reinforcement learning model in the framework of financial markets. It is based on a Lipschitz type extension of reward functions defined in metric spaces. Specifically, the McShane and Whitney extensions are considered for a reward function which is defined by the total...