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Optimisation and Stability Theory for Economic Analysis

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  • Beavis,Brian
  • Dobbs,Ian

Abstract

This book presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability. Both of these are topics central to economic analysis since the latter is so much concerned with the optimizing behaviour of economic agents and the stability of the interaction processes to which this gives rise. The topics covered include convexity, mathematical programming, fixed point theorems, comparative static analysis and duality, the stability of dynamic systems, the calculus of variations and optimal control theory. The authors present a more detailed and wide-ranging discussion of these topics than is to be found in the few books which attempt a similar coverage. Although the text deals with fairly advanced material, the mathematical prerequisites are minimised by the inclusion of an integrated mathematical review designed to make the text self-contained and accessible to the reader with only an elementary knowledge of calculus and linear algebra. A novel feature of the book is that it provides the reader with an understanding and feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. This is achieved through an extensive use of a broad range of economic examples (rather than the numerical/algebraic examples so often found).This is suitable for use in advanced undergraduate and postgraduate courses in economic analysis and should in addition prove a useful reference work for practising economists.

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Bibliographic Info

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This book is provided by Cambridge University Press in its series Cambridge Books with number 9780521336055 and published in 1990.

Order: http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521336055
Handle: RePEc:cup:cbooks:9780521336055

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Web page: http://www.cambridge.org

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Cited by:
  1. Gianluca Femminis, 2007. "From simple growth to numerical simulations: a primer in dynamic programming," DISCE - Quaderni dell'Istituto di Teoria Economica e Metodi Quantitativi itemq0745, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
  2. Miravete, E.J., 1997. "Time-Consistent Protection With Learning by Doing," UFAE and IAE Working Papers 395.97, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. Wegberg, M.J.A.M. & Witteloostuijn, A. van, 1992. "Credible entry threats into contestable markets: a multimarket model of contestability," Open Access publications from Tilburg University urn:nbn:nl:ui:12-5373412, Tilburg University.
  4. Wegberg,M.,van, 1995. "Can R&D alliances facilitate the formation of a cartel? The example of the European IT industry," Research Memorandum 004, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  5. Richard E. Baldwin, 1999. "The Core-Periphery Model with Forward-Looking Expectations," NBER Working Papers 6921, National Bureau of Economic Research, Inc.
  6. Barbosa, Fernando de Holanda, 1991. "Macrodinâmica: os sistemas dinâmicos na macroeconomia," Economics Working Papers (Ensaios Economicos da EPGE) 182, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  7. Xiaogang Wang & James Zidek, 2005. "Derivation of mixture distributions and weighted likelihood function as minimizers of KL-divergence subject to constraints," Annals of the Institute of Statistical Mathematics, Springer, vol. 57(4), pages 687-701, December.
  8. Barbosa, Fernando de Holanda, 1990. "Política monetária ótima no combate à inflação," Economics Working Papers (Ensaios Economicos da EPGE) 158, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  9. Tsoukis, Christopher & Miller, Nigel James, 2008. "Learning, scale effects, and (very) long-run growth," Economic Modelling, Elsevier, vol. 25(3), pages 446-462, May.
  10. Sanso, Marcos & Aisa, Rosa M., 2006. "Endogenous longevity, biological deterioration and economic growth," Journal of Health Economics, Elsevier, vol. 25(3), pages 555-578, May.
  11. Kampas, Athanasios & White, Ben, 2003. "Probabilistic programming for nitrate pollution control: Comparing different probabilistic constraint approximations," European Journal of Operational Research, Elsevier, vol. 147(1), pages 217-228, May.
  12. Yang, Zili, 1999. "A coupling algorithm for computing large-scale dynamic computable general equilibrium models," Economic Modelling, Elsevier, vol. 16(3), pages 455-473, August.
  13. Athanasios Kampas & Ben White, 2004. "Administrative Costs and Instrument Choice for Stochastic Non-point Source Pollutants," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 27(2), pages 109-133, February.

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