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A Cognitive Hierarchy Model of Behavior in Endogenous Timing Games

  • Daniel Carvalho
  • Luis Santos-Pinto

This paper applies the cognitive hierarchy model of Camerer, Ho and Chong (2004) to the action commitment game of Hamilton and Slutsky (1990). The model generates the heterogeneity of behavior reported in Huck, Müeller and Normann (2002). The model predicts the spike in the leadership quantity in the first period as well as the spike in the Cournot quantity in the second period. The model predicts delay, a feature that cannot be explained by social preferences. The also model predicts very well the percentage of Stackelberg outcomes, double leadership outcomes, and Stackelberg leaders punished by followers. Notwithstanding, the model produces low first period movement and is unable to generate sufficient percentages of sequential play of Cournot quantities and collusive market outcomes.

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File URL: http://www.hec.unil.ch/deep/textes/10.06.pdf
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Paper provided by Université de Lausanne, Faculté des HEC, DEEP in its series Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) with number 10.06.

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Length: 48 pages
Date of creation: Jan 2010
Date of revision:
Handle: RePEc:lau:crdeep:10.06
Contact details of provider: Postal: Université de Lausanne, Faculté des HEC, DEEP, Internef, CH-1015 Lausanne
Phone: ++41 21 692.33.64
Fax: ++41 21 692.33.05
Web page: http://www.hec.unil.ch/deep/publications/cahiers/seriesEmail:


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  1. Vincent P. Crawford & Nagore Iriberri, 2007. "Fatal Attraction: Salience, Naïveté, and Sophistication in Experimental "Hide-and-Seek" Games," American Economic Review, American Economic Association, vol. 97(5), pages 1731-1750, December.
  2. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-26, December.
  3. Asen Ivanov & Dan Levin & James Peck, 2008. "Hindsight, Foresight, and Insight: An Experimental Study of a Small-Market Investment Game with Common and Private Values," Working Papers 0801, VCU School of Business, Department of Economics.
  4. repec:ner:tilbur:urn:nbn:nl:ui:12-112549 is not listed on IDEAS
  5. Costa-Gomes, Miguel A. & Crawford, Vincent P., 2004. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," University of California at San Diego, Economics Working Paper Series qt449812fx, Department of Economics, UC San Diego.
  6. Fonseca, M.A. & Müller, W. & Normann, H.T., 2006. "Endogenous timing in duopoly : Experimental evidence," Other publications TiSEM 4ce35136-68ab-4ee4-a119-4, School of Economics and Management.
  7. Steffen Huck & Wieland Müller & Hans-Theo Normann, 1999. "To commit or not to commit: Endogenous timing in experimental duopoly markets," Experimental 9906002, EconWPA.
  8. repec:ner:tilbur:urn:nbn:nl:ui:12-193647 is not listed on IDEAS
  9. Hamilton, J.H. & Slutsky, S.M., 1988. "Endogenous Timing In Duopoly Games: Stackelberg Or Cournot Equilibria," Papers 88-4, Florida - College of Business Administration.
  10. Robson, Arthur J, 1990. "Duopoly with Endogenous Strategic Timing: Stackelberg Regained," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 263-74, May.
  11. Harless, David W. & Camerer, Colin F., 1995. "An error rate analysis of experimental data testing Nash refinements," European Economic Review, Elsevier, vol. 39(3-4), pages 649-660, April.
  12. Saloner, Garth, 1987. "Cournot duopoly with two production periods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 183-187, June.
  13. repec:dgr:kubcen:200577 is not listed on IDEAS
  14. Santos-Pinto, Luís, 2006. "Making Sense of the Experimental Evidence on Endogenous Timing in Duopoly Markets," MPRA Paper 3142, University Library of Munich, Germany, revised 27 Apr 2007.
  15. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
  16. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, MIT Press, vol. 119(3), pages 861-898, August.
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