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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

    as
    1. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    2. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    3. 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.
    4. 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.
    5. 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.
    6. Echenique, Federico & Manelli, Alejandro M., 2003. "Comparative Statics, English Auctions, and the Stolper-Samuelson Theorem," Working Papers 1178, California Institute of Technology, Division of the Humanities and Social Sciences.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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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    Citations

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    Cited by:

    1. Andrés Pereyra, 2003. "Competencia en telefonía móvil en Uruguay: diseño de subastas, contratos y marco institucional," Documentos de Trabajo (working papers) 0103, Department of Economics - dECON.
    2. Carlos Casacuberta & Ianina Rossi & Máximo Rossi, 2003. "El arte y el éxito: un matrimonio incómodo," Documentos de Trabajo (working papers) 0303, Department of Economics - dECON.
    3. Cecilia González & Máximo Rossi, 2003. "Participación femenina en el mercado de trabajo: efectos sobre la distribución del ingreso en el Uruguay," Documentos de Trabajo (working papers) 1203, Department of Economics - dECON.
    4. Marisa Bucheli & Máximo Rossi, 2003. "El grado de conformidad con la vida: evidencia para las mujeres del Gran Montevideo," Documentos de Trabajo (working papers) 1003, Department of Economics - dECON.
    5. Echenique, Federico & Manelli, Alejandro M., 2003. "Comparative Statics, English Auctions, and the Stolper-Samuelson Theorem," Working Papers 1178, California Institute of Technology, Division of the Humanities and Social Sciences.

    More about this item

    Keywords

    effficient auctions; international trade theory; implicit function theorem;

    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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