Chowdhury, Subhasish and Kovenock, Dan and Sheremeta, Roman (2011): An Experimental Investigation of Colonel Blotto Games. Published in: Economic Theory No. 52 (2013): pp. 833-861.
Preview |
PDF
MPRA_paper_46810.pdf Download (291kB) | Preview |
Abstract
This article examines behavior in the two-player, constant-sum Colonel Blotto game with asymmetric resources in which players maximize the expected number of battlefields won. The experimental results support the main qualitative predictions of the theory. In the auction treatment, where winning a battlefield is deterministic, disadvantaged players use a “guerilla warfare” strategy which stochastically allocates zero resources to a subset of battlefields. Advantaged players employ a “stochastic complete coverage” strategy, allocating random, but positive, resource levels across the battlefields. In the lottery treatment, where winning a battlefield is probabilistic, both players divide their resources equally across all battlefields. However, we also find interesting behavioral deviations from the theory and discuss their implications.
Item Type: | MPRA Paper |
---|---|
Original Title: | An Experimental Investigation of Colonel Blotto Games |
Language: | English |
Keywords: | Colonel Blotto, conflict resolution, contest theory, multi-dimensional resource allocation, rent-seeking, experiments |
Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games C - Mathematical and Quantitative Methods > C9 - Design of Experiments > C91 - Laboratory, Individual Behavior D - Microeconomics > D7 - Analysis of Collective Decision-Making > D72 - Political Processes: Rent-Seeking, Lobbying, Elections, Legislatures, and Voting Behavior D - Microeconomics > D7 - Analysis of Collective Decision-Making > D74 - Conflict ; Conflict Resolution ; Alliances ; Revolutions |
Item ID: | 46810 |
Depositing User: | Roman Sheremeta |
Date Deposited: | 07 May 2013 20:44 |
Last Modified: | 27 Sep 2019 04:16 |
References: | Amaldoss, W., & Rapoport, A.: Excessive expenditure in two-stage contests: Theory and experimental evidence. In F. Columbus (Ed.), Game Theory: Strategies, Equilibria, and Theorems. Hauppauge, NY: Nova Science Publishers (2009) Andreoni, J., & Croson, R.: Partners versus Strangers: The Effect of Random Rematching in Public Goods Experiments, in Handbook of Experimental Economics Results, Plott & Smith eds (2008) Avrahami, J., & Kareev, Y.: Do the Weak Stand a Chance? Distribution of Resources in a Competitive Environment. Cognitive Science, 33, 940-950 (2009) Barut, Y., & Kovenock, D., & Noussair, C.N.: A Comparison of Multiple-Unit All-Pay and Winner-Pay Auctions Under Incomplete Information. International Economic Review, 43, 675-708 (2002) Bellman, R.: On Colonel Blotto and Analogous Games. Siam Review, 11, 66–68 (1969) Blackett, D.W.: Some Blotto games. Naval Research Logistics Quarterly, 1, 55–60 (1954) Blackett, D.W.: Pure Strategy Solutions to Blotto Games. Naval Research Logistics Quarterly, 5, 107–109 (1958) Borel, E.: La theorie du jeu les equations integrales a noyau symetrique. Comptes Rendus del Academie 173, 1304–1308 (1921); English translation by Savage, L.: The theory of play and integral equations with skew symmetric kernels. Econometrica 21, 97–100 (1953) Borel, E., Ville, J.: Application de la theorie des probabilities aux jeux de hasard. Paris: Gauthier-Villars (1938); reprinted in Borel E., Cheron, A.: Theorie mathematique du bridge a la portee de tous. Paris: Editions Jacques Gabay (1991) Botelho, A., Harrison, G.W., Pinto, L.M.C., & Rutström, E.E.: Testing static game theory with dynamic experiments: A case study of public goods. Games and Economic Behavior, 67, 253-265 (2009) Brown, J.N., & Rosenthal, R.W.: Testing the Minimax Hypothesis: A Re-examination of O'Neill's Game Experiment. Econometrica, 1065-1081 (1990) Camerer, C.F.: Behavioral Game Theory: Experiments on Strategic Interaction. Princeton: Princeton University Press (2003) Chau, A., & Phillips, J.: Effects of Perceived Control Upon Wagering and Attributions in Computer Blackjack. The Journal of General Psychology, 122, 253–269 (1995) Clark, D.J., & Konrad, K.A.: Asymmetric Conflict: Weakest Link against Best Shot. Journal of Conflict Resolution, 51, 457-469 (2007) Clark, D.J., & Konrad, K.A.: Fragmented Property Rights and Incentives for R&D. Management Science, 54, 969–981 (2008) Crawford, V.P., & Iriberri, N.: Fatal Attraction: Salience, Naïveté, and Sophistication in Experimental “Hide-and-Seek” Games. American Economic Review, 97, 1731-1750 (2007) Croson, R., & Sundali, J.: The Gambler’s Fallacy and the Hot Hand: Empirical Data from Casinos, Journal of Risk and Uncertainty, 30, 195-209 (2005) Crutzen, B.S.Y. & Sahuguet, N.: Redistributive Politics with Distortionary Taxation. Journal of Economic Theory, 144, 264-279 (2009) Davis, D., & Reilly, R.: Do Many Cooks Always Spoil the Stew? An Experimental Analysis of Rent Seeking and the Role of a Strategic Buyer. Public Choice, 95, 89-115 (1998) Druckman, J.: Evaluating framing effects. Journal of Economic Psychology, 22, 96-101 (2001) Fischbacher, U.: z-Tree: Zurich Toolbox for Ready-made Economic Experiments. Experimental Economics, 10, 171-178 (2007) Friedman, L.: Game-theory Models in the Allocation of Advertising Expenditure. Operations Research, 6, 699-709 (1958) Gneezy, U., & Smorodinsky, R.: All-Pay Auctions – An Experimental Study. Journal of Economic Behavior and Organization, 61, 255-275 (2006) Golman, R., & Page, S.E.: General Blotto: Games of Strategic Allocative Mismatch. Public Choice, 138, 279–299 (2009) Gross, O., & Wagner, R.: A Continuous Colonel Blotto game. Unpublished article, RAND Corporation RM-408 (1950) Hart, S.: Discrete Colonel Blotto and General Lotto Games. International Journal of Game Theory, 36, 441-460 (2008) Hausken, K.: Strategic Defense and Attack for Series and Parallel Reliability Systems. European Journal of Operational Research, 186, 856-881 (2008) Holt, C.A., & Laury, S.K.: Risk Aversion and Incentive Effects. American Economic Review, 92, 1644-55 (2002) Klemperer, P.: How (Not) to Run Auctions: The European 3G Telecom Auctions. European Economic Review, 46, 829-845 (2002) Klumpp, T., & Polborn, M.K.: Primaries and the New Hampshire Effect. Journal of Public Economics, 90, 1073–1114 (2006) Kovenock, D., & Roberson, B.: Inefficient Redistribution and Inefficient Redistributive Politics. Public Choice,139, 263-272 (2009a) Kovenock, D., & Roberson, B.: The Optimal Defense of Networks of Targets. Purdue University, Working Paper (2009b) Kreps, D., Milgrom, P., Roberts, J., & Wilson, R.: Rational Cooperation in the Finitely Repeated Prisoners’ Dilemma. Journal of Economic Theory, 27, 245-52 (1982) Kvasov, D.: Contests with limited resources. Journal of Economic Theory, 127, 738-748 (2007) Laslier, J.F.: How Two-Party Competition Treats Minorities. Review of Economic Design, 7, 297-307 (2002) Laslier, J.F., Picard, N.: Distributive Politics and Electoral Competition. Journal of Economic Theory, 103, 106-130 (2002) Lizzeri, A.: Budget Deficits and Redistributive Politics. Review of Economic Studies, 66, 909-28 (1999) Lizzeri, A., & Persico, N.: The Provision of Public Goods under Alternative Electoral Incentives. American Economic Review, 91, 225-239 (2001) Lugovskyy, V., Puzzello, D., & Tucker, S.: An Experimental Investigation of Overdissipation in the All Pay Auction. European Economic Review, 54, 974-997 (2010) Morgan, J., Orzen, H. & Sefton, M.: Endogenous Entry in Contests. Economic Theory, (2011, forthcoming) Myerson, R.B.: Incentives to Cultivate Minorities under Alternative Electoral Systems. American Political Science Review, 87, 856-869 (1993) Parco, J., Rapoport, A., and Amaldoss, W.: Two-stage contests with budget constraints: An experimental study. Journal of Mathematical Psychology, 49, 320-338 (2005) Potters, J.C., De Vries, C.G., & Van Linden, F.: An Experimental Examination of Rational Rent Seeking. European Journal of Political Economy, 14, 783-800 (1998) Powell, R.: Defending against Terrorist Attacks with Limited Resources. American Political Science Review, 101, 527-541 (2007) Price, C.R., & Sheremeta, R.M.: Endowment Effects in Contests. Economics Letters, 111, 217–219 (2011) Roberson, B. & Kvasov, D.: The Non-Constant Sum Colonel Blotto Game. Economic Theory, (2011, forthcoming) Roberson, B.: The Colonel Blotto game. Economic Theory 29 (1), 1-24 (2006) Roberson, B.: Pork-Barrel Politics, Targetable Policies, and Fiscal Federalism. Journal of the European Economic Association, 819-844 (2008) Robson, A. R. W.: Multi-item contests. Australian National University, Working Paper (2005) Rosen, S.: Prizes and Incentives in Elimination Tournaments. American Economic Review, 76, 701-715 (1986) Sahuguet, N., & Persico, N.: Campaign Spending Regulation in a Model of Redistributive Politics. Economic Theory, 28, 95-124 (2006) Schelling, T. C.: The Strategy of Conflict. Cambridge, Massachusetts: Harvard University Press (1960) Schmidt, D., Sheremeta, R.M., Shupp, R., & Walker, J.: Resource Allocation Contests: Experimental Evidence. Indiana University, Working Paper (2011) Sheremeta, R.M.: Multi-Stage Elimination Contests: An Experimental Investigation. Games and Economic Behavior, 68, 731–747 (2010) Sheremeta, R.M.: Contest Design: An Experimental Investigation. Economic Inquiry, 49, 573-590 (2011) Sheremeta, R.M., & Zhang, J.: Can Groups Solve the Problem of Over-Bidding in Contests? Social Choice and Welfare, 35, 175-197 (2010) Shubik, M., & Weber, R.J.: Systems Defense Games: Colonel Blotto, Command and Control. Naval Research Logistics Quarterly, 28, 281–287 (1981) Snyder, J.M.: Election Goals and the Allocation of Campaign Resources. Econometrica, 57, 637-660 (1989) Strömberg, D.: How the Electoral College Influences Campaigns and Policy: The Probability of Being Florida. American Economic Review, 98, 769-807 (2008) Tukey, J.W.: A Problem of Strategy. Econometrica, 17, 73 (1949) Walker, M., & Wooders, J.: Minimax Play at Wimbledon. American Economic Review, 91, 1521-1538 (2001) |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/46810 |