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

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  • Echenique, Federico
  • Manelli, Alejandro M.

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 Stopler-Samuelson Theorem for an n X n trade model.

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Bibliographic Info

Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number 1178.

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Length: 15 pages
Date of creation: Sep 2003
Date of revision:
Publication status: Published:
Handle: RePEc:clt:sswopa:1178

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Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
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Keywords: efficient auctions; international trade theory; implicit function theorem;

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References

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  1. Robert Wilson, 1998. "Sequential equilibria of asymmetric ascending auctions: The case of log-normal distributions," Economic Theory, Springer, vol. 12(2), pages 433-440.
  2. 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.
  3. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
  4. 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.
  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. Federico Echenique & Alejandro Manelli, 2003. "Comparative Statics, English Auctions and the Stolper-Samuelson Theorem," Documentos de Trabajo (working papers) 0503, Department of Economics - dECON.
  7. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  8. 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.
  9. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. 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.
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Cited by:
  1. Federico Echenique & Alejandro Manelli, 2003. "Comparative Statics, English Auctions, and the Stolper-Samuelson Theorem," GE, Growth, Math methods 0309005, EconWPA.
  2. 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.
  3. Maximo Rossi & Carlos Casacuberta & Ianina Rossi, 2004. "El arte y el éxito: un matrimonio incómodo," Microeconomics 0409004, EconWPA.
  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. 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.

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