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Strict Monotonicity in Comparative Statics

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  • Aaron S. Edlin and Chris Shannon.

Abstract

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.

Suggested Citation

  • Aaron S. Edlin and Chris Shannon., 1995. "Strict Monotonicity in Comparative Statics," Economics Working Papers 95-238, University of California at Berkeley.
  • Handle: RePEc:ucb:calbwp:95-238
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    1. 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.
    2. 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 1301-1312, December.
    3. Shannon, Chris, 1995. "Weak and Strong Monotone Comparative Statics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 209-227, March.
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