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Mathematics, 2023 From Cournot, Walras, and Pareto’s research to what followed in the form of marginalist economics, chaos theory, agent-based modeling, game theory, and econophysics, the interpretation and analysis of economic systems have been carried out using a broad ...
Kyriaki Tsilika
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Mathematical Economics: Application of Fractional Calculus
Mathematics, 2020 Mathematical economics is a theoretical and applied science in which economic objects, processes, and phenomena are described by using mathematically formalized language [...]
Vasily E. Tarasov
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The unreasonable ineffectiveness of mathematics in economics [PDF]
Cambridge Journal of Economics, 2005 In this paper, I attempt to show that mathematical economics is unreasonably ineffective. Unreasonable, because the mathematical assumptions are economically unwarranted; ineffective because the mathematical formalisations imply non-constructive and uncomputable structures.
K. Vela Velupillai
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On History of Mathematical Economics: Application of Fractional Calculus
Mathematics, 2019 Modern economics was born in the Marginal revolution and the Keynesian revolution. These revolutions led to the emergence of fundamental concepts and methods in economic theory, which allow the use of differential and integral calculus to describe ...
Vasily E. Tarasov
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Mathematics of Economics and Business [PDF]
, 2006 For all students who wish to understand current economic and business literature, knowledge of mathematical methods has become a prerequisite. Clear and concise, with precise definitions and theorems, Werner and Sotskov cover all the major topics required to gain a firm grounding in this subject including sequences, series, applications in finance ...
Frank Werner, Yuri N. Sotskov
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Cournot and Mathematical Economics
, 1898 "Cournot's genius must give a new mental activity to every one who passes through his hands."—Marshall.
Irving Fisher
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Mathematics and Economics of Leonid Kantorovich [PDF]
Siberian Mathematical Journal, 2011 This is a short overview of the contribution of Leonid Kantorovich into the formation of the modern outlook on the interaction between mathematics and economics.
S. S. Kutateladze
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Springer Texts in Business and Economics, 1987 In a shortest path problem, agents seek to ship their respective demands; and the cost on a given arc is linear in the flow. Previous works have proposed cost allocations falling in the core of the associated cooperative game.
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Mathematics in economics [PDF]
Bulletin of the American Mathematical Society, 1954 Wassily Leontief
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Applications of Discrete Convex Analysis to Mathematical Economics
, 2004 Discrete convex analysis, which is a unified framework of discrete optimization, is being recognized as a basic tool for mathematical economics. This paper surveys the recent progress in applications of discrete convex analysis to mathematical economics.
Akihisa Tamura
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