Multi-dimensional iterative reasoning in action: The case of the Colonel Blotto game
We 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”.
If 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.
Volume (Year): 84 (2012)
Issue (Month): 2 ()
|Contact details of provider:|| Web page: http://www.elsevier.com/locate/jebo|
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.:
- 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.
- 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.
- Chowdhury, Subhasish & Kovenock, Dan & Sheremeta, Roman, 2011.
"An Experimental Investigation of Colonel Blotto Games,"
46810, University Library of Munich, Germany.
- Subhasish Chowdhury & Dan Kovenock & Roman Sheremeta, 2013. "An experimental investigation of Colonel Blotto games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 833-861, April.
- Chowdhury, Subhasish M. & Kovenock, Dan & Sheremeta, Roman M., 2009.
"An experimental investigation of Colonel Blotto games
[Eine experimentelle Untersuchung von „Colonel Blotto“-Spielen]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2009-08, Social Science Research Center Berlin (WZB).
- 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.
- Sotiris Georganas & Paul J. Healy & Roberto A. Weber, 2014.
"On the Persistence of Strategic Sophistication,"
CESifo Working Paper Series
4653, CESifo Group Munich.
- Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 1-24, September.
- 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 3561-3573, December.
- Sergiu Hart, 2006.
"Discrete Colonel Blotto and General Lotto Games,"
Discussion Paper Series
dp434, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- 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.
- 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.
- 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.
786969000000000438, UCLA Department of Economics.
- 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.
When requesting a correction, please mention this item's handle: RePEc:eee:jeborg:v:84:y:2012:i:2:p:571-585. 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: (Shamier, Wendy)
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.