Monotone Comparative Statics in Games with both Strategic Complements and Strategic Substitutes
AbstractThis paper analyzes games with both strategic substitutes and strategic complements. Such games may behave differently from either games with strategic complements or games with strategic substitutes. In such games, equilibria do not decrease as the parameter increases. Moreover, natural conditions are presented to guarantee that an increase in the parameter leads to an increase in the equilibrium: in other words, conditions to guarantee monotone comparative statics. These conditions are based on intuitive tradeoffs between direct parameter effects and indirect strategic effects. These conditions are needed only for players with strategic substitutes; no conditions are imposed on players with strategic complements. Several examples highlight the results.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University of Kansas, Department of Economics in its series WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS with number 201236.
Length: 30 pages
Date of creation: Aug 2012
Date of revision: Aug 2012
Lattice games; strategic complements; strategic substitutes; equilibrium set; monotone comparative statics;
Find related papers by JEL classification:
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-09-09 (All new papers)
- NEP-GTH-2012-09-09 (Game Theory)
- NEP-MIC-2012-09-09 (Microeconomics)
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.:
- Acemoglu, Daron & Jensen, Martin Kaae, 2009. "Aggregate Comparative Statics," CEPR Discussion Papers 7254, C.E.P.R. Discussion Papers.
- John Quah & Bruno Strulovici, 2007.
"Comparative Statics, Informativeness, and the Interval Dominance Order,"
Economics Series Working Papers
2007-WO4, University of Oxford, Department of Economics.
- John K.-H. Quah & Bruno Strulovici, 2009. "Comparative Statics, Informativeness, and the Interval Dominance Order," Econometrica, Econometric Society, vol. 77(6), pages 1949-1992, November.
- John K.-H. Quah & Bruno Strulovici, 2007. "Comparative Statics, Informativeness, and the Interval Dominance Order," Economics Papers 2007-W04, Economics Group, Nuffield College, University of Oxford.
- Federico Echenique, 2000.
"Comparative Statics by Adaptive Dynamics and The Correspondence Principle,"
GE, Growth, Math methods
- Federico Echenique, 2002. "Comparative Statics by Adaptive Dynamics and the Correspondence Principle," Econometrica, Econometric Society, vol. 70(2), pages 833-844, March.
- Federico Echenique., 2000. "Comparative Statics by Adaptive Dynamics and The Correspondence Principle," Economics Working Papers E00-273, University of California at Berkeley.
- Federico Echenique, 2000. "Comparative Statics by Adaptive Dynamics and The Correspondence Principle," Econometric Society World Congress 2000 Contributed Papers 1906, Econometric Society.
- Federico Echenique, 1999. "Comparative Statics by Adaptative Dynamics and the Correspondence Principle," Documentos de Trabajo (working papers) 2099, Department of Economics - dECON.
- Tombak, Mihkel M., 2006. "Strategic asymmetry," Journal of Economic Behavior & Organization, Elsevier, vol. 61(3), pages 339-350, November.
- Alexander Zimper, 2005.
"A fixed point characterization of the dominancesolvability of lattice games with strategic substitutes,"
32, Economic Research Southern Africa.
- Alexander Zimper, 2007. "A fixed point characterization of the dominance-solvability of lattice games with strategic substitutes," International Journal of Game Theory, Springer, vol. 36(1), pages 107-117, September.
- Andrew Monaco & Tarun Sabarwal, 2010. "A non-robustness in the order structure of the equilibrium set in lattice games," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201004, University of Kansas, Department of Economics, revised Aug 2011.
- Amir, Rabah & Garcia, Filomena & Knauff, Malgorzata, 2010. "Symmetry-breaking in two-player games via strategic substitutes and diagonal nonconcavity: A synthesis," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1968-1986, September.
- Villas-Boas, J. Miguel, 1997. "Comparative Statics of Fixed Points," Journal of Economic Theory, Elsevier, vol. 73(1), pages 183-198, March.
- John K.-H Quah, 2007. "The Comparative Statics of Constrained Optimization Problems," Econometrica, Econometric Society, vol. 75(2), pages 401-431, 03.
- Roy, Sunanda & Sabarwal, T, 2008. "On the (Non)-Lattice Structure of Equilibrium Sets in Games with Strategic Substitutes," Staff General Research Papers 13103, Iowa State University, Department of Economics.
- Martin Jensen, 2010. "Aggregative games and best-reply potentials," Economic Theory, Springer, vol. 43(1), pages 45-66, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Jianbo Zhang).
If references are entirely missing, you can add them using this form.