Monotone comparative statics: Changes in preferences vs changes in the feasible set
Let a preference ordering on a lattice be perturbed. As is well known, single crossing conditions are necessary and sufficient for a monotone reaction of the set of optimal choices from every chain. Actually, there are several interpretations of monotonicity and several corresponding single crossing conditions. We describe restrictions on the preferences that ensure a monotone reaction of the set of optimal choices from every sublattice whenever a perturbation of preferences satisfies the corresponding single crossing condition. Quasisupermodularity is necessary if we want monotonicity in every conceivable sense; otherwise, weaker conditions will do.
|Date of creation:||15 Jun 2011|
|Date of revision:|
|Contact details of provider:|| Postal: Ludwigstraße 33, D-80539 Munich, Germany|
Web page: https://mpra.ub.uni-muenchen.de
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Philip J Reny, 2005.
"On the Existence of Monotone Pure Strategy Equilibria in Bayesian Games,"
NajEcon Working Paper Reviews
- Philip J Reny, 2005. "On the Existence of Monotone Pure Strategy Equilibria in Bayesian Games," Levine's Working Paper Archive 784828000000000413, David K. Levine.
- Philip J. Reny, 2005. "On the Existence of Monotone Pure Strategy Equilibria in Bayesian Games," Levine's Working Paper Archive 784828000000000067, David K. Levine.
- Milgrom, P. & Shannon, C., 1991.
"Monotone Comparative Statics,"
11, Stanford - Institute for Thoretical Economics.
- Athey, S., 1997.
"Sigle Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information,"
97-11, Massachusetts Institute of Technology (MIT), Department of Economics.
- Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-89, July.
- Bruno Strulovici & Thomas Weber, 2010. "Generalized monotonicity analysis," Economic Theory, Springer, vol. 43(3), pages 377-406, June.
- Aaron S. Edlin and Chris Shannon., 1995.
"Strict Monotonicity in Comparative Statics,"
Economics Working Papers
95-238, University of California at Berkeley.
- Vives, X., 1988.
"Nash Equilibrium With Strategic Complementarities,"
UFAE and IAE Working Papers
107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- John K.-H Quah, 2007. "The Comparative Statics of Constrained Optimization Problems," Econometrica, Econometric Society, vol. 75(2), pages 401-431, 03.
- Agliardi, Elettra, 2000. "A generalization of supermodularity," Economics Letters, Elsevier, vol. 68(3), pages 251-254, September.
- Shannon, Chris, 1995. "Weak and Strong Monotone Comparative Statics," Economic Theory, Springer, vol. 5(2), pages 209-27, March.
When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:31612. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter)
If references are entirely missing, you can add them using this form.