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A First Course in Optimization Theory

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  • Sundaram,Rangarajan K.
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    Abstract

    This book, first published in 1996, introduces students to optimization theory and its use in economics and allied disciplines. The first of its three parts examines the existence of solutions to optimization problems in Rn, and how these solutions may be identified. The second part explores how solutions to optimization problems change with changes in the underlying parameters, and the last part provides an extensive description of the fundamental principles of finite- and infinite-horizon dynamic programming. Each chapter contains a number of detailed examples explaining both the theory and its applications for first-year master's and graduate students. 'Cookbook' procedures are accompanied by a discussion of when such methods are guaranteed to be successful, and, equally importantly, when they could fail. Each result in the main body of the text is also accompanied by a complete proof. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.

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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 9780521497701 and published in 1996.

    Order: http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521497701
    Handle: RePEc:cup:cbooks:9780521497701

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

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    Cited by:
    1. Daehoon Nahm & Ha Vu, 2013. "Measuring scale efficiency from a parametric hyperbolic distance function," Journal of Productivity Analysis, Springer, vol. 39(1), pages 83-88, February.
    2. Edward Calthrop & Stef Proost, 2002. "Regulating on-street parking," Energy, Transport and Environment Working Papers Series ete0202, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Energy, Transport and Environment.
    3. Rasch, Alexander & Wambach, Achim, 2009. "Internal decision-making rules and collusion," Journal of Economic Behavior & Organization, Elsevier, vol. 72(2), pages 703-715, November.
    4. Pachkova, Elena V., 2009. "Restricted reallocation of resources," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1049-1057, August.
    5. Nirav Mehta, 2012. "Competition in Public School Districts: Charter School Entry, Student Sorting, and School Input Determination," University of Western Ontario, CIBC Centre for Human Capital and Productivity Working Papers 20123, University of Western Ontario, CIBC Centre for Human Capital and Productivity.
    6. Acharya, Viral V., 2009. "A Theory of Systemic Risk and Design of Prudential Bank Regulation," CEPR Discussion Papers 7164, C.E.P.R. Discussion Papers.
    7. John Duggan & Joanne Roberts, 2002. "Implementing the Efficient Allocation of Pollution," American Economic Review, American Economic Association, vol. 92(4), pages 1070-1078, September.
    8. Pitchford, Rohan & Snyder, Christopher M., 2007. "The identity of the generator in the problem of social cost," Journal of Environmental Economics and Management, Elsevier, vol. 54(1), pages 49-67, July.
    9. Salim, Mir M., 2013. "Revealed objective functions of Microfinance Institutions: Evidence from Bangladesh," Journal of Development Economics, Elsevier, vol. 104(C), pages 34-55.
    10. Kung, Fan-chin, 2008. "Voluntary contributions to multiple public goods in a production economy with widespread externalities," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1364-1378, December.
    11. Vits, Jeroen & Gelders, Ludo & Pintelon, Liliane, 2006. "Production process changes: A dynamic programming approach to manage effective capacity and experience," International Journal of Production Economics, Elsevier, vol. 104(2), pages 473-481, December.
    12. Depetris Chauvin, Nicolas & Porto, Guido G., 2011. "Market Competition in Export Cash Crops and Farm Income," 2012 Conference, August 18-24, 2012, Foz do Iguacu, Brazil 126159, International Association of Agricultural Economists.
    13. Sébastien Rouillon, 2012. "Decentralized Management of a Fishery," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 52(2), pages 181-193, June.
    14. Jean-Paul Chavas, 2012. "On learning and the economics of firm efficiency: a state-contingent approach," Journal of Productivity Analysis, Springer, vol. 38(1), pages 53-62, August.
    15. Yasushi Ishida & Masaaki Bannai & Takahiko Miyazaki & Yasushi Harada & Ryuichi Yokoyama & Atsushi Akisawa, 2009. "The Optimal Operation Criteria for a Gas Turbine Cogeneration System," Energies, MDPI, Open Access Journal, vol. 2(2), pages 202-225, April.
    16. Marco Cosconati, 2011. "Parenting Style and the Development of Human Capital in Children," 2011 Meeting Papers 854, Society for Economic Dynamics.
    17. Pinto, Roberto, 2012. "Stock rationing under service level constraints in a vertically integrated distribution system," International Journal of Production Economics, Elsevier, vol. 136(1), pages 231-240.
    18. Esteban-Bravo, Mercedes & Vidal-Sanz, Jose M., 2007. "Worst-case estimation for econometric models with unobservable components," Computational Statistics & Data Analysis, Elsevier, vol. 51(7), pages 3330-3354, April.
    19. Beltran-Royo, C. & Zhang, H. & Blanco, L.A. & Almagro, J., 2013. "Multistage multiproduct advertising budgeting," European Journal of Operational Research, Elsevier, vol. 225(1), pages 179-188.

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