Optimization in Economics and Finance

Some Advances in Non-Linear, Dynamic, Multi-Criteria and Stochastic Models

Bruce D. Craven, Sardar M. N. Islam (Autoren)

Buch | Softcover

161 Seiten

2011 | Softcover reprint of hardcover 1st ed. 2005
Springer-Verlag New York Inc.
978-1-4419-3714-8 (ISBN)

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Many optimization questions arise in economics and finance; an important example of this is the society's choice of the optimum state of the economy (the social choice problem). Optimization in Economics and Finance extends and improves the usual optimization techniques, in a form that may be adopted for modeling social choice problems. Problems discussed include: when is an optimum reached; when is it unique; relaxation of the conventional convex (or concave) assumptions on an economic model; associated mathematical concepts such as invex and quasimax; multiobjective optimal control models; and related computational methods and programs. These techniques are applied to economic growth models (including small stochastic perturbations), finance and financial investment models (and the interaction between financial and production variables), modeling sustainability over long time horizons, boundary (transversality) conditions, and models with several conflicting objectives. Although the applications are general and illustrative, the models in this book provide examples of possible models for a society's social choice for an allocation that maximizes welfare and utilization of resources. As well as using existing computer programs for optimization of models, a new computer program, named SCOM, is presented in this book for computing social choice models by optimal control.

Dr. B. D. Craven was (until retirement) a Reader in Mathematics at University of Melbourne, Australia, where he taught Mathematics and various topics in Operations Research for over 35 years. He holds a D.Sc. degree from University of Melbourne. His research interests include continuous optimization, nonlinear and multiobjective optimization, and optimal control. and their applcations. He has published five books, including two on mathematical programming and optimal control, and many papers in international journals. He is a member of Australian Society for Operations Research and INFORMS. Prof. Sardar M N Islam is Professor of Welfare and Environmental Economics at Victoria University, Australia. He is also associated with the Financial Modelling Program, and the Law and Economics Program there. He has published 11 books and monographs and more than 150 technical papers in Economics (Mathematical Economics, Applied Welfare Economics, Optimal Growth), Corporate Governance, Mathematical Finance, Financial Econometrics and E-Commerce.

: Optimal Models for Economics and Finance.- Mathematics of Optimal Control.- Computing Optimal Control : The SCOM package.- Computing Optimal Growth and Development Models.- Modelling Financial Investment with Growth.- Modelling Sustainable Development.- Modelling and Computing a Stochastic Growth Model.- Optimization in Welfare Economics.- Transversality Conditions for Infinite Horizon.- Conclusions.

Erscheint lt. Verlag	5.1.2011
Reihe/Serie	Dynamic Modeling and Econometrics in Economics and Finance ; 7
Zusatzinfo	XI, 161 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	160 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
	Sozialwissenschaften ► Politik / Verwaltung ► Staat / Verwaltung
	Wirtschaft ► Allgemeines / Lexika
	Wirtschaft ► Betriebswirtschaft / Management ► Finanzierung
	Wirtschaft ► Volkswirtschaftslehre ► Makroökonomie
	Wirtschaft ► Volkswirtschaftslehre ► Ökonometrie
	Wirtschaft ► Volkswirtschaftslehre ► Wirtschaftspolitik
ISBN-10	1-4419-3714-5 / 1441937145
ISBN-13	978-1-4419-3714-8 / 9781441937148
Zustand	Neuware