Stochastic Asymmetric Blotto Games: Theory and Experimental Evidence
AbstractWe study a 2-player Blotto game where the n items have asymmetric values. The winner of each item is determined stochastically using a lottery mechanism. We analyze two payoff objectives: (i) players maximize their total expected payoffs and (ii) players maximize their probability of winning a majority value of all items. We develop new theoretical results for the majority rule case and show how that payoff objective results in qualitatively different equilibrium behavior than the total expected payoff objective. We report results from an experiment where the two payoff objectives are compared and find strong support for our theoretical predictions.
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Bibliographic InfoPaper provided by University of Pittsburgh, Department of Economics in its series Working Papers with number 509.
Date of creation: Aug 2013
Date of revision: Nov 2013
Colonel Blotto game; Contests; Resource Allocation; Lotteries; Electoral College; Game Theory; Political Economy; Experimental Economics.;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
- D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-08-10 (All new papers)
- NEP-CBE-2013-08-10 (Cognitive & Behavioural Economics)
- NEP-CDM-2013-08-10 (Collective Decision-Making)
- NEP-EXP-2013-08-10 (Experimental Economics)
- NEP-GTH-2013-08-10 (Game Theory)
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- 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.
- Arad, Ayala & Rubinstein, Ariel, 2012. "Multi-dimensional iterative reasoning in action: The case of the Colonel Blotto game," Journal of Economic Behavior & Organization, Elsevier, vol. 84(2), pages 571-585.
- Sergiu Hart, 2006.
"Discrete Colonel Blotto and General Lotto Games,"
Discussion Paper Series
dp434, The Center for the Study of Rationality, Hebrew University, Jerusalem.
- Dan Kovenock & Brian Roberson, 2007.
"Coalitional Colonel Blotto Games with Application to the Economics of Alliances,"
Purdue University Economics Working Papers
1207, Purdue University, Department of Economics.
- Dan Kovenock & Brian Roberson, 2012. "Coalitional Colonel Blotto Games with Application to the Economics of Alliances," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(4), pages 653-676, 08.
- Kovenock, Dan & Roberson, Brian, 2008. "Coalitional Colonel Blotto games with application to the economics of alliances," Discussion Papers, Research Unit: Market Processes and Governance SP II 2008-02, Social Science Research Center Berlin (WZB).
- Powell, Robert, 2009. "Sequential, nonzero-sum "Blotto": Allocating defensive resources prior to attack," Games and Economic Behavior, Elsevier, vol. 67(2), pages 611-615, November.
- George E. Monahan, 1987. "The Structure of Equilibria in Market Share Attraction Models," Management Science, INFORMS, vol. 33(2), pages 228-243, February.
- Brian Roberson & Dmitriy Kvasov, 2010.
"The Non-Constant-Sum Colonel Blotto Game,"
School of Economics Working Papers
2010-31, University of Adelaide, School of Economics.
- Brian Roberson & Dmitriy Kvasov, 2010. "The Non-Constant-Sum Colonel Blotto Game," Purdue University Economics Working Papers 1252, Purdue University, Department of Economics.
- Brian Roberson & Dmitriy Kvasov, 2008. "The Non-Constant-Sum Colonel Blotto Game," CESifo Working Paper Series 2378, CESifo Group Munich.
- Nicolas Sahuguet & Nicola Persico, 2006. "Campaign spending regulation in a model of redistributive politics," Economic Theory, Springer, vol. 28(1), pages 95-124, 05.
- 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, vol. 52(3), pages 833-861, April.
- 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).
- Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-60, May.
- 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.
- Alexander Matros, 2007.
"A Blotto Game with Incomplete Information,"
332, University of Pittsburgh, Department of Economics, revised Jul 2009.
- Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
- Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
- Laslier, Jean-Francois & Picard, Nathalie, 2002. "Distributive Politics and Electoral Competition," Journal of Economic Theory, Elsevier, vol. 103(1), pages 106-130, March.
- Rafael Hortala-Vallve & Aniol Llorente-Saguer, 2012. "Pure strategy Nash equilibria in non-zero sum colonel Blotto games," International Journal of Game Theory, Springer, vol. 41(2), pages 331-343, May.
- Alex Robson, 2005. "Multi-Item Contests," ANU Working Papers in Economics and Econometrics 2005-446, Australian National University, College of Business and Economics, School of Economics.
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