This is the first monograph that discusses in detail the interactions between Fourier analysis and dynamic economic theories, in particular, business cycles. Many economic theories have analyzed cyclical behaviors of economic variables. In this book, the focus is on a couple of trials: (1) the Kaldor theory and (2) the Slutsky effect. The Kaldor theory tries to explain business fluctuations in terms of nonlinear, 2nd-order ordinary differential equations (ODEs). In order to explain periodic behaviors of a solution, the Hopf-bifurcation theorem frequently plays a key role. Slutsky´s idea is to look at the periodic movement as an overlapping effect of random shocks. The Slutsky process is a weakly stationary process, the periodic (or almost periodic) behavior of which can be analyzed by the Bochner theorem. The goal of this book is to give a comprehensive and rigorous justification of these ideas. Therefore, the aim is first to give a complete theory that supports the Hopf theorem and to prove the existence of periodic solutions of ODEs; and second to explain the mathematical structure of the Bochner theorem and its relation to periodic (or almost periodic) behaviors of weakly stationary processes. Although these two targets are the principal ones, a large number of results from Fourier analysis must be prepared in order to reach these goals. The basic concepts and results from classical as well as generalized Fourier analysis are provided in a systematic way. Prospective readers are assumed to have sufficient knowledge of real, complex analysis. However, necessary economic concepts are explained in the text, making this book accessible even to readers without a background in economics.
Functional Analysis and Economic Theory:Softcover reprint of the original 1st ed. 1998
Were you looking for the book with access to MyMathLab Global? This product is the book alone and does NOT come with access to MyMathLab Global. Buy Essential Mathematics for Economic Analysis, 5th edition, with MyMathLab Global access card (ISBN 9781292074719) if you need access to MyMathLab Global as well, and save money on this resource. You will also need a course ID from your instructor to access MyMathLab Global. An extensive introduction to all the mathematical tools an economist needs is provided in this worldwide bestseller. ´´The scope of the book is to be applauded? Dr Michael Reynolds, University of Bradford ´´Excellent book on calculus with several economic applications? Mauro Bambi, University of York
This is the first definitive introduction to behavioral economics aimed at advanced undergraduate and postgraduate students. Authoritative, cutting edge, yet accessible, it guides the reader through theory and evidence, providing engaging and relevant applications throughout.
Variations in Economic Analysis:
Economic Analysis of the Law:Selected Readings