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Strict Monotonicity in Comparative Statics

  • Edlin, Aaron S.
  • Shannon, Chris

This note provides sufficient conditions to draw strict monotone comparative statics conclusions in optimization problems. These results extend the lattice-theoretic results of Milgrom and Shannon (1994) by imposing a stronger differential version of the single crossing property and arguing from first- order conditions. We illustrate the importance of these results through examples involving holdup problems and optimal tax problems.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 81 (1998)
Issue (Month): 1 (July)
Pages: 201-219

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Handle: RePEc:eee:jetheo:v:81:y:1998:i:1:p:201-219
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Milgrom, Paul, 1994. "Comparing Optima: Do Simplifying Assumptions Affect Conclusions?," Journal of Political Economy, University of Chicago Press, vol. 102(3), pages 607-15, June.
  2. Milgrom, Paul & Roberts, John, 1990. "The Economics of Modern Manufacturing: Technology, Strategy, and Organization," American Economic Review, American Economic Association, vol. 80(3), pages 511-28, June.
  3. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
  4. Joseph E. Stiglitz & Aaron S. Edlin, 1997. "Discouraging Rivals: Managerial Rent-Seeking and Economic Inefficiencies," NBER Working Papers 4145, National Bureau of Economic Research, Inc.
  5. Mirrlees, James A, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Wiley Blackwell, vol. 38(114), pages 175-208, April.
  6. Stiglitz, Joseph E., 1987. "Pareto efficient and optimal taxation and the new new welfare economics," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 2, chapter 15, pages 991-1042 Elsevier.
  7. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  8. Edlin, Aaron S & Reichelstein, Stefan, 1996. "Holdups, Standard Breach Remedies, and Optimal Investment," American Economic Review, American Economic Association, vol. 86(3), pages 478-501, June.
  9. Shannon, Chris, 1995. "Weak and Strong Monotone Comparative Statics," Economic Theory, Springer, vol. 5(2), pages 209-27, March.
  10. Klein, Benjamin & Crawford, Robert G & Alchian, Armen A, 1978. "Vertical Integration, Appropriable Rents, and the Competitive Contracting Process," Journal of Law and Economics, University of Chicago Press, vol. 21(2), pages 297-326, October.
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