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Comparative Statics, English Auctions, and the Stolper-Samuelson Theorem

Author

Listed:
  • Federico Echenique

    (Caltech)

  • Alejandro Manelli

    (Arizona State University)

Abstract

Changes in the parameters of an $n$-dimensional system of equations induce changes in its solutions. For a class of such systems, we determine the qualitative change in solutions given certain qualitative changes in parameters. Our methods and results are elementary yet useful. They highlight the existence of a common thread, our ``own effect'' assumption, in formally diverse areas of economics. We discuss several applications; among them, we establish the existence of efficient equilibria in English auctions with interdependent valuations, and a version of the Stolper-Samuelson Theorem for an $n \times n$ trade model.

Suggested Citation

  • Federico Echenique & Alejandro Manelli, 2003. "Comparative Statics, English Auctions, and the Stolper-Samuelson Theorem," GE, Growth, Math methods 0309005, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpge:0309005
    Note: Type of Document - PDF; prepared on Unix; to print on PostScript; pages: 16
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    References listed on IDEAS

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    1. Dubra, Juan & Echenique, Federico & Manelli, Alejandro M., 2009. "English auctions and the Stolper-Samuelson theorem," Journal of Economic Theory, Elsevier, vol. 144(2), pages 825-849, March.
    2. Paul A. Samuelson, 1953. "Prices of Factors and Goods in General Equilibrium," Review of Economic Studies, Oxford University Press, vol. 21(1), pages 1-20.
    3. Chipman, John S, 1969. "Factor Price Equalization and the Stolper-Samuelson Theorem," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 399-406, October.
    4. Robert Wilson, 1998. "Sequential equilibria of asymmetric ascending auctions: The case of log-normal distributions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 433-440.
    5. Silvia Laens & Inés Terra, 2003. "Integration of the Americas: Welfare Effects and Options for the MERCOSUR," Documentos de Trabajo (working papers) 0903, Department of Economics - dECON.
    6. Ethier, Wilfred J., 1984. "Higher dimensional issues in trade theory," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 1, chapter 3, pages 131-184, Elsevier.
    7. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    8. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    9. Alvaro Forteza & Daniel Buquet & Mario Ibarburu & Jorge Lanzaro & Andrés Pereyra & Eduardo Siandra & Marcel Vaillant, 2003. "Understanding reform. The Uruguayan case," Documentos de Trabajo (working papers) 0603, Department of Economics - dECON.
    10. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
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    Cited by:

    1. Beker, Victor A., 2012. "A case study on trade liberalization: Argentina in the 1990s," Economics Discussion Papers 2012-3, Kiel Institute for the World Economy (IfW Kiel).

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    More about this item

    Keywords

    effficient auctions; international trade theory; implicit function theorem;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • F11 - International Economics - - Trade - - - Neoclassical Models of Trade

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