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Strict Monotonicity in Comparative Statics

  • Aaron S. Edlin and Chris Shannon.

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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Paper provided by University of California at Berkeley in its series Economics Working Papers with number 95-238.

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Date of creation: 01 Jul 1995
Date of revision:
Handle: RePEc:ucb:calbwp:95-238
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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, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  3. Edlin, Aaron S & Stiglitz, Joseph E, 1995. "Discouraging Rivals: Managerial Rent-Seeking and Economic Inefficiencies," American Economic Review, American Economic Association, vol. 85(5), pages 1301-12, December.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  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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