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Optimisation and Stability Theory for Economic Analysis

Author

Listed:
  • 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.

Suggested Citation

  • Beavis,Brian & Dobbs,Ian, 1990. "Optimisation and Stability Theory for Economic Analysis," Cambridge Books, Cambridge University Press, number 9780521336055, April.
  • Handle: RePEc:cup:cbooks:9780521336055
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    Cited by:

    1. Ben White, 2000. "A Review of the Economics of Biological Natural Resources," Journal of Agricultural Economics, Wiley Blackwell, vol. 51(3), pages 419-462.
    2. Pierre Martinon & Pierre Picard & Anasuya Raj, 2017. "On the Design of Optimal Health Insurance Contracts under Ex Post Moral Hazard," Working Papers hal-01348551, HAL.
    3. 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).
    4. C.J. O’Donnell, 2017. "Estimating Total Factor Productivity Change When No Price or Value-Share Data are Available," CEPA Working Papers Series WP012017, School of Economics, University of Queensland, Australia.
    5. Giorgio Giorgi & Cesare Zuccotti, 2015. "An Overview on D-stable Matrices," DEM Working Papers Series 097, University of Pavia, Department of Economics and Management.
    6. Aleš Černý, 2003. "Generalised Sharpe Ratios and Asset Pricing in Incomplete Markets," Review of Finance, European Finance Association, vol. 7(2), pages 191-233.
    7. Ryo Itoh, 2010. "Economic Development And Non-Monotonic Spatial Transitions," The Japanese Economic Review, Japanese Economic Association, vol. 61(2), pages 234-251.

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