Multi-dimensional iterative reasoning in action: The case of the Colonel Blotto game
AbstractWe introduce a novel decision procedure involving multi-dimensional iterative reasoning, in which a player decides separately on the various features of his strategy using an iterative process. This type of strategic reasoning fits a range of complicated situations in which a player faces a large and non-ordered strategy space. In this paper, the procedure is used to explain the results of a large web-based experiment of a tournament version of the Colonel Blotto game. The interpretation of the participants’ choices as reflecting multi-dimensional iterative reasoning is supported by an analysis of their response times and the relation between the participants’ behavior in this game and their choices in another game which triggers standard k-level reasoning. Finally, we reveal the most successful strategies in the tournament, which appear to reflect 2–3 levels of reasoning in the two main “dimensions”.
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Behavior & Organization.
Volume (Year): 84 (2012)
Issue (Month): 2 ()
Contact details of provider:
Web page: http://www.elsevier.com/locate/jebo
Multi-dimensional iterative reasoning; Response time; Colonel Blotto;
Other versions of this item:
- Ayala Arad & Ariel Rubinstein, 2012. "Multi-Dimensional Iterative Reasoning in Action: The Case of the Colonel Blotto Game," Levine's Working Paper Archive 786969000000000497, David K. Levine.
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- C9 - Mathematical and Quantitative Methods - - Design of Experiments
- D03 - Microeconomics - - General - - - Behavioral Microeconomics; Underlying Principles
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.:
- Ayala Arad & Ariel Rubinstein, 2012. "The 11-20 Money Request Game: A Level-k Reasoning Study," American Economic Review, American Economic Association, vol. 102(7), pages 3561-73, December.
- Ariel Rubinstein, 2006.
"Instinctive and Cognitive Reasoning: A Study of Response Times,"
2006.36, Fondazione Eni Enrico Mattei.
- Ariel Rubinstein, 2007. "Instinctive and Cognitive Reasoning: A Study of Response Times," Economic Journal, Royal Economic Society, vol. 117(523), pages 1243-1259, October.
- Ariel Rubinstein, 2006. "Instinctive and Cognitive Reasoning: A Study of Response Times," Discussion Papers 1424, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer, vol. 29(1), pages 1-24, September.
- Subhasish Chowdhury & Dan Kovenock & Roman Sheremeta, 2013.
"An experimental investigation of Colonel Blotto games,"
Springer, vol. 52(3), pages 833-861, April.
- Chowdhury, Subhasish & Kovenock, Dan & Sheremeta, Roman, 2011. "An Experimental Investigation of Colonel Blotto Games," MPRA Paper 46810, University Library of Munich, Germany.
- Subhasish M. Chowdhury & Dan Kovenock J. & Roman M. Sheremeta, 2009. "An Experimental Investigation of Colonel Blotto Games," CESifo Working Paper Series 2688, CESifo Group Munich.
- Chowdhury, Subhasish M. & Kovenock, Dan & Sheremeta, Roman M., 2009. "An experimental investigation of Colonel Blotto games," Discussion Papers, Research Unit: Market Processes and Governance SP II 2009-08, Social Science Research Center Berlin (WZB).
- 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.
- Vincent P. Crawford & Nagore Iriberri, 2007. "Fatal Attraction: Salience, Naivete, and Sophistication in Experimental Hide-and-Seek Games," Levine's Bibliography 321307000000000861, UCLA Department of Economics.
- Stahl Dale O. & Wilson Paul W., 1995.
"On Players' Models of Other Players: Theory and Experimental Evidence,"
Games and Economic Behavior,
Elsevier, vol. 10(1), pages 218-254, July.
- Dale O. Stahl & Paul W. Wilson, 2010. "On Players' Models of Other Players: Theory and Experimental Evidence," Levine's Working Paper Archive 542, David K. Levine.
- Sergiu Hart, 2008.
"Discrete Colonel Blotto and General Lotto games,"
International Journal of Game Theory,
Springer, vol. 36(3), pages 441-460, March.
- Sergiu Hart, 2006. "Discrete Colonel Blotto and General Lotto Games," Levine's Bibliography 321307000000000532, UCLA Department of Economics.
- Sergiu Hart, 2006. "Discrete Colonel Blotto and General Lotto Games," Discussion Paper Series dp434, The Center for the Study of Rationality, Hebrew University, Jerusalem.
- 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.
- Hortala-Vallve, Rafael & Llorente-Saguer, Aniol, 2010. "A simple mechanism for resolving conflict," Games and Economic Behavior, Elsevier, vol. 70(2), pages 375-391, November.
- Yetkin ÇINAR & Türkmen GÖKSEL, 2012. "An experimental analysis of Colonel Blotto Games under alternative environments," Iktisat Isletme ve Finans, Bilgesel Yayincilik, vol. 27(312), pages 39-57.
- Ayala Arad & Ariel Rubinstein, 2012. "Strategic Tournaments," Levine's Bibliography 786969000000000438, UCLA Department of Economics.
- John Duffy & Alexander Matros, 2013. "Stochastic Asymmetric Blotto Games: Theory and Experimental Evidence," Working Papers 509, University of Pittsburgh, Department of Economics, revised Nov 2013.
- Ralf Bergheim & Michael W.M. Roos, 2013. "Intuition and Reasoning in Choosing Ambiguous and Risky Lotteries," Ruhr Economic Papers 0440, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
- Ronald M. Harstad & Reinhard Selten, 2013. "Bounded-Rationality Models: Tasks to Become Intellectually Competitive," Journal of Economic Literature, American Economic Association, vol. 51(2), pages 496-511, June.
- Vincent P. Crawford, 2013. "Boundedly Rational versus Optimization-Based Models of Strategic Thinking and Learning in Games," Journal of Economic Literature, American Economic Association, vol. 51(2), pages 512-27, June.
- Ariel Rubenstein, 2013. "Response time and decision making: An experimental study," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 8(5), pages 540-551, September.
- Florian Lindner & Matthias Sutter, 2013.
"Level-k reasoning and time pressure in the 11-20 money request game,"
2013-13, Faculty of Economics and Statistics, University of Innsbruck.
- Lindner, Florian & Sutter, Matthias, 2013. "Level-k reasoning and time pressure in the 11–20 money request game," Economics Letters, Elsevier, vol. 120(3), pages 542-545.
- Maria Montero & Alex Possajennikov & Martin Sefton & Theodore Turocy, 2013. "Majoritarian Contests with Asymmetric Battlefields: An Experiment," Discussion Papers 2013-12, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
- Montero García, Maria & Possajennikow, Alex & Sefton, Martín & Turocy, Theodore L., 2013. "Majoritarian Contests with Asymmetric Battlefields: An Experiment," IKERLANAK Ikerlanak;2013-76, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.