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Comparative Statics, English Auctions and the Stolper-Samuelson Theorem

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Author Info

  • Federico Echenique

    (Departmento de Economía, Facultad de Ciencias Sociales, Universidad de la República and California Institute of Technology, Pasadena CA 91125, USA.)

  • Alejandro Manelli

    (Department of Economics, Arizona State University, Tempe, AZ 85287-3806, USA)

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 × n trade model.

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Bibliographic Info

Paper provided by Department of Economics - dECON in its series Documentos de Trabajo (working papers) with number 0503.

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Length: 20 pages
Date of creation: Sep 2003
Date of revision:
Handle: RePEc:ude:wpaper:0503

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  1. Federico Echenique & Alejandro Manelli, 2003. "Comparative Statics, English Auctions and the Stolper-Samuelson Theorem," Documentos de Trabajo (working papers) 0503, Department of Economics - dECON.
  2. 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.
  3. 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.
  4. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
  5. Dubra, Juan & Echenique, Federico & Manelli, Alejandro, 2007. "English auctions and the Stolper-Samuelson theorem," MPRA Paper 8218, University Library of Munich, Germany.
  6. 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.
  7. 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.
  8. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
  9. Robert Wilson, 1998. "Sequential equilibria of asymmetric ascending auctions: The case of log-normal distributions," Economic Theory, Springer, vol. 12(2), pages 433-440.
  10. 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.
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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. 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. Maximo Rossi & Cecilia Gonzalez, 2004. "Participación femenina en el mercado de trabajo: efectos sobre la distribución del ingreso en el Uruguay," Labor and Demography 0409008, 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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