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Optimisation and Stability Theory for Economic Analysis
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  • Cited by 19
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    This (lowercase (translateProductType product.productType)) has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Lu, Zhanhui Wang, Weijuan Zhu, Quanxin and Li, Gengyin 2017. The mean square stability analysis of a stochastic dynamic model for electricity market. International Journal of Machine Learning and Cybernetics, Vol. 8, Issue. 4, p. 1071.

    Lu, Zhanhui Ji, Mengfan Wang, Weijuan and Li, Gengyin 2016. Stability of the Stochastic Model for Power Markets with Interval Parameters. Mathematical Problems in Engineering, Vol. 2016, p. 1.

    Lu, Zhanhui Wang, Weijuan Li, Gengyin and Xie, Di 2014. Electricity Market Stochastic Dynamic Model and Its Mean Stability Analysis. Mathematical Problems in Engineering, Vol. 2014, p. 1.

    Malinowska, Agnieszka B. Martins, Natália and Torres, Delfim F. M. 2011. Transversality conditions for infinite horizon variational problems on time scales. Optimization Letters, Vol. 5, Issue. 1, p. 41.

    ITOH, RYO 2009. ECONOMIC DEVELOPMENT AND NON-MONOTONIC SPATIAL TRANSITIONS. Japanese Economic Review, Vol. 61, Issue. 2, p. 234.

    Yan-Bing, Jia and Zheng, Yan 2009. Analysis of effects of contracts on the stability of dynamic power markets. European Transactions on Electrical Power, Vol. 19, Issue. 1, p. 56.

    White, Ben 2008. A Review of the Economics of Biological Natural Resources. Journal of Agricultural Economics, Vol. 51, Issue. 3, p. 419.

    Wang, Xiaogang and Zidek, James V. 2005. Derivation of mixture distributions and weighted likelihood function as minimizers of KL-divergence subject to constraints. Annals of the Institute of Statistical Mathematics, Vol. 57, Issue. 4, p. 687.

    Youfei Liu Ni, Y.X. and Wu, F.F. 2004. Control theory application in power market stability analysis. p. 562.


    Hossain, Mustaque and Chen, J.Z. 2002. Optimization of Superpave Mixture Volumetric Properties. International Journal of Pavement Engineering, Vol. 3, Issue. 2, p. 63.

    Duy Huu Manh Nguyen and Kit Po Wong 2000. A general stability metric for competitive power markets. p. 320.

    Yang, Zili 1999. A coupling algorithm for computing large-scale dynamic computable general equilibrium models. Economic Modelling, Vol. 16, Issue. 3, p. 455.

    Alvarado, Fernando L. 1999. The stability of electric energy markets. Decision Support Systems, Vol. 24, Issue. 3-4, p. 233.

    Alvarado, F. 1999. The stability of power system markets. IEEE Transactions on Power Systems, Vol. 14, Issue. 2, p. 505.

    sedaghat, Hassan 1996. Permanence and global stability in a model of consumer demand. Journal of Difference Equations and Applications, Vol. 2, Issue. 3, p. 289.

    Isaac, Alan G. 1993. Is there a Natural Rate?. Journal of Post Keynesian Economics, Vol. 15, Issue. 4, p. 453.

    Baldick, R. Wu, F.F. and Kaye, R.J. 1992. Electricity Tariffs Under Imperfect Knowledge of Participant Benefits. IEEE Power Engineering Review, Vol. 12, Issue. 11, p. 44.

    Baldick, R. Kaye, R.J. and Wu, F.F. 1992. Electricity tariffs under imperfect knowledge of participant benefits. IEEE Transactions on Power Systems, Vol. 7, Issue. 4, p. 1471.

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Book description

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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