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Lie Groups of Partial Differential Equations and Their Application to theMultidimensional Screening Problems

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  • Suren Basov

Abstract

In this paper I described group theoretic methods that can be used for analyzing the boundary problems, which arise when the Hamiltonian method is applied to solve the relaxed problem for the multidimensional screening problem. This technique can provide some useful insights into the structure of solutions and some times may help to arrive at particular solutions.

Suggested Citation

  • Suren Basov, 2004. "Lie Groups of Partial Differential Equations and Their Application to theMultidimensional Screening Problems," Department of Economics - Working Papers Series 895, The University of Melbourne.
    • Handle: RePEc:mlb:wpaper:895
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    File URL: http://www.economics.unimelb.edu.au/downloads/wpapers-04/895.pdf
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    References listed on IDEAS

    as
    1. Basov, Suren, 2001. "Hamiltonian approach to multi-dimensional screening," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 77-94, September.
    2. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    3. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    4. Suren Basov, 2002. "A Partial Characterization of the Solution of the Multidimensional Screening Problem with Nonlinear Preferences," Department of Economics - Working Papers Series 860, The University of Melbourne.
    5. Wilson, Robert, 1997. "Nonlinear Pricing," OUP Catalogue, Oxford University Press, number 9780195115826.
    6. Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
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    Cited by:

    1. Tenorio Villal¢n, Angel F. & Martín Caraballo, Ana M. & Paralera Morales, Concepción & Contreras Rubio, Ignacio, 2013. "Ecuaciones diferenciales y en diferencias aplicadas a los conceptos económicos y financieros || Differential and Difference Equations Applied to Economic and Financial Concepts," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 16(1), pages 165-199, December.
    2. Melike Bildirici & Yasemen Ucan & Sérgio Lousada, 2022. "Interest Rate Based on The Lie Group SO(3) in the Evidence of Chaos," Mathematics, MDPI, vol. 10(21), pages 1-9, October.
    3. Shaikh, Abdul Wasim & Memon, Ghulam Qadir, 2014. "Analytical and numerical solutions of fluid flow filled with and without porous media in circular pipes," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 983-999.

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    More about this item

    Keywords

    Multidimensional screening; Lie groups;

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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