There are many mathematics textbooks on real analysis, but they focus on topics not readily helpful for studying economic theory or they are inaccessible to most graduate students of economics. The emphasis throughout is on topics directly relevant to economic theory. In addition to addressing the usual topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations.
Efe Ok complements the mathematical development with applications that provide concise introductions to various topics from economic theory, including individual decision theory and games, welfare economics, information theory, general equilibrium and finance, and intertemporal economics. The book is rigorous, but accessible to those who are relatively new to the ways of real analysis. It is largely graduate level mathematics, and the students should have a solid undergraduate real analysis background. Hans eds. From Walras to Pareto.
American Economic Review. Von Neumann's irreducibility condition was called the "whales and wranglers " hypothesis by David Champernowne, who provided a verbal and economic commentary on the English translation of von Neumann's article. Von Neumann's hypothesis implied that every economic process used a positive amount of every economic good. Thompson in the s and then by Stephen M. The theory of linear economic models.
McGraw-Hill, New York, Mathematical theory of expanding and contracting economies. Lexington Books. Lexington, Massachusetts: D. Heath and Company. Tyrrell Monotone processes of convex and concave type. Memoirs of the American Mathematical Society. Providence, R. In Josef Loz; Maria Loz eds. Mathematical models in economics Proc. Convex analysis.
Thompson , and Nicholas Kaldor. John Von Neumann and modern economics.
Interior point algorithms: Theory and analysis. An Outline of the History of Economic Thought. Optimization in Economic Theory , 2nd ed. Description and contents preview. Feldman Whinston, and Jerry R. Green , Microeconomic Theory , Chapter Description Archived at the Wayback Machine and contents.
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Samuelson, and Robert M. Solow Linear Programming and Economic Analysis. Chapter-preview links. Proceedings of 2nd Berkeley Symposium. Berkeley: University of California Press. Nonlinear Programming Second ed.
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Cambridge, Massachusetts. Optimization theory for large systems. Macmillan series in operations research. New York: The Macmillan Company. Optimization theory for large systems reprint of the Macmillan ed. Berlin: Springer-Verlag. Lecture Notes in Computer Science. The Mathematical Theory of Optimal Processes. New York: Wiley. Preview link. Description link. Essays on the Theory of Optimal Economic Growth. Lucas with Edward Prescott Desecription and chapter-preview links. Abstract Archived at the Wayback Machine. New York: Springer. Scroll to chapter-preview links. Durlauf and L.
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Leifman ed. Kantorovich, —, pp. Mathematical Programming. Retrieved 12 Dec Existence and optimality of competitive equilibria. Berlin: Springer—Verlag.
Real Analysis with Economic Applications
Conjugate duality and optimization. Telser and Robert L. The Theory of general economic equilibrium: A differentiable approach. Econometric Society monographs. Weintraub, ed. Abstract per sect.
Smith, ed. Handbook of Experimental Economics Results , v. Aumann and S. Hart, ed. Games and Information , 4th ed. Description and chapter-preview links. Handbook of Game Theory with Economic Applications v. Description and chapter-preview links, pp. Sandholm, Tuomas. Description Archived at the Wayback Machine. Miller Brian , Micromotives and Macrobehavior , Norton. Description , preview. Bounded Rationality in Macroeconomics , Oxford. Description and chapter-preview 1st-page links. Pre-pub PDF. Links to description and chapter previews. Abstract and pre-pub PDF. Arthur, S. Durlauf, and D.