IDEAS home Printed from https://ideas.repec.org/p/lau/crdeep/10.06.html
   My bibliography  Save this paper

A Cognitive Hierarchy Model of Behavior in Endogenous Timing Games

Author

Listed:
  • Daniel Carvalho
  • Luis Santos-Pinto

Abstract

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.

Suggested Citation

  • Daniel Carvalho & Luis Santos-Pinto, 2010. "A Cognitive Hierarchy Model of Behavior in Endogenous Timing Games," Cahiers de Recherches Economiques du Département d'économie 10.06, Université de Lausanne, Faculté des HEC, Département d’économie.
    • Handle: RePEc:lau:crdeep:10.06
    as

    Download full text from publisher

    File URL: http://www.hec.unil.ch/deep/textes/10.06.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Stahl, Dale II & Wilson, Paul W., 1994. "Experimental evidence on players' models of other players," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 309-327, December.
    2. Miguel Fonseca & Wieland Müller & Hans-Theo Normann, 2006. "Endogenous timing in duopoly: experimental evidence," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 443-456, October.
    3. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
    4. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    5. Saloner, Garth, 1987. "Cournot duopoly with two production periods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 183-187, June.
    6. Asen Ivanov & Dan Levin & James Peck, 2009. "Hindsight, Foresight, and Insight: An Experimental Study of a Small-Market Investment Game with Common and Private Values," American Economic Review, American Economic Association, vol. 99(4), pages 1484-1507, September.
    7. Vincent P. Crawford & Miguel A. Costa-Gomes, 2006. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 96(5), pages 1737-1768, December.
    8. Santos-Pinto, Luís, 2008. "Making sense of the experimental evidence on endogenous timing in duopoly markets," Journal of Economic Behavior & Organization, Elsevier, vol. 68(3-4), pages 657-666, December.
    9. Huck, Steffen & Muller, Wieland & Normann, Hans-Theo, 2002. "To Commit or Not to Commit: Endogenous Timing in Experimental Duopoly Markets," Games and Economic Behavior, Elsevier, vol. 38(2), pages 240-264, February.
    10. 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.
    11. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    12. Huck, Steffen & Muller, Wieland & Normann, Hans-Theo, 2001. "Stackelberg Beats Cournot: On Collusion and Efficiency in Experimental Markets," Economic Journal, Royal Economic Society, vol. 111(474), pages 749-765, October.
    13. 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.
    14. 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.
    15. 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 263-274, May.
    16. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wright, James R. & Leyton-Brown, Kevin, 2017. "Predicting human behavior in unrepeated, simultaneous-move games," Games and Economic Behavior, Elsevier, vol. 106(C), pages 16-37.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Daniel Carvalho & Luís Santos-Pinto, 2014. "A cognitive hierarchy model of behavior in the action commitment game," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(3), pages 551-577, August.
    2. Santos-Pinto, Luís, 2008. "Making sense of the experimental evidence on endogenous timing in duopoly markets," Journal of Economic Behavior & Organization, Elsevier, vol. 68(3-4), pages 657-666, December.
    3. Daniele Nosenzo & Martin Sefton, 2011. "Endogenous Move Structure and Voluntary Provision of Public Goods: Theory and Experiment," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(5), pages 721-754, October.
    4. Miguel A. Fonseca, 2019. "Endogenous Price Leadership with Asymmetric Costs: Experimental Evidence," Studies in Microeconomics, , vol. 7(1), pages 59-74, June.
    5. Daniele Nosenzo & Martin Sefton, 2011. "Endogenous Move Structure and Voluntary Provision of Public Goods: Theory and Experiment," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(5), pages 721-754, October.
    6. Georganas, Sotiris & Healy, Paul J. & Weber, Roberto A., 2015. "On the persistence of strategic sophistication," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 369-400.
    7. Miguel A Costa-Gomes & Vincent P Crawford & Nagore Iriberri, 2008. "Comparing Models of Strategic Thinking in Van Huyck, Battalio, and Beil’s Coordination Games," Levine's Working Paper Archive 122247000000002346, David K. Levine.
    8. Wright, James R. & Leyton-Brown, Kevin, 2017. "Predicting human behavior in unrepeated, simultaneous-move games," Games and Economic Behavior, Elsevier, vol. 106(C), pages 16-37.
    9. Muller, Wieland, 2006. "Allowing for two production periods in the Cournot duopoly: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 60(1), pages 100-111, May.
    10. Berger, Ulrich & De Silva, Hannelore & Fellner-Röhling, Gerlinde, 2016. "Cognitive hierarchies in the minimizer game," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 337-348.
    11. Arad Ayala, 2012. "The Tennis Coach Problem: A Game-Theoretic and Experimental Study," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-43, April.
    12. García-Pola, Bernardo & Iriberri, Nagore & Kovářík, Jaromír, 2020. "Non-equilibrium play in centipede games," Games and Economic Behavior, Elsevier, vol. 120(C), pages 391-433.
    13. Andreas Blume & John Duffy & April Mitchell Franco, 2008. "Decentralized Organizational Learning: An Experimental Investigation," Working Paper 382, Department of Economics, University of Pittsburgh, revised May 2009.
    14. Dimitris Batzilis & Sonia Jaffe & Steven Levitt & John A. List & Jeffrey Picel, 2019. "Behavior in Strategic Settings: Evidence from a Million Rock-Paper-Scissors Games," Games, MDPI, vol. 10(2), pages 1-34, April.
    15. Hildenbrand, Andreas, 2010. "Cournot or Stackelberg competition? A survey on experimental evidence," MPRA Paper 24468, University Library of Munich, Germany.
    16. Ayala Arad & Benjamin Bachi & Amnon Maltz, 2023. "On the relevance of irrelevant strategies," Experimental Economics, Springer;Economic Science Association, vol. 26(5), pages 1142-1184, November.
    17. Bosch-Domènech, Antoni & Vriend, Nicolaas J., 2013. "On the role of non-equilibrium focal points as coordination devices," Journal of Economic Behavior & Organization, Elsevier, vol. 94(C), pages 52-67.
    18. Vincent P. Crawford & Nagore Iriberri, 2004. "Fatal Attraction: Focality, Naivete, and Sophistication in Experimental Hide-and-Seek Games," Levine's Bibliography 122247000000000316, UCLA Department of Economics.
    19. Strzalecki, Tomasz, 2014. "Depth of reasoning and higher order beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 108-122.
    20. Haruvy, Ernan & Stahl, Dale O., 2007. "Equilibrium selection and bounded rationality in symmetric normal-form games," Journal of Economic Behavior & Organization, Elsevier, vol. 62(1), pages 98-119, January.

    More about this item

    Keywords

    endogenous timing games; thinking steps; cognitive hierarchy;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:lau:crdeep:10.06. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christina Seld (email available below). General contact details of provider: https://edirc.repec.org/data/deelsch.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.