Force Project Rand Research Memorandum a Continuous Colonel Blotto
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The Asymmetric Colonel Blotto Game
This paper explores the Nash equilibria of a variant of the Colonel Blotto game, which we call the Asymmetric Colonel Blotto game. In the Colonel Blotto game, two players simultaneously distribute forces across n battlefields. Within each battlefield, the player that allocates the higher level of force wins. The payoff of the game is the proportion of wins on the individual battlefields. In the...
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In the Colonel Blotto game, which was initially introduced by Borel in 1921, two colonels simultaneously distribute their troops across different battlefields. The winner of each battlefield is determined independently by a winner-take-all rule. The ultimate payoff of each colonel is the number of battlefields he wins. The Colonel Blotto game is commonly used for analyzing a wide range of appli...
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Mixed strategies are often evaluated based on the expected payoff that they guarantee. This is not always desirable. In this paper, we consider games for which maximizing the expected payoff deviates from the actual goal of the players. To address this issue, we introduce the notion of a (u, p)-maxmin strategy which ensures receiving a minimum utility of u with probability at least p. We then g...
متن کاملBehavioral Game Theory on Online Social Networks: Colonel Blotto is on Facebook
We show how online social networks such as Facebook can be used in Behavioral Game Theory research. We report the deployment of a Facebook application ‘Project Waterloo’ that allows users to play the Colonel Blotto game against their friends and strangers. Unlike conventional studies performed in the laboratory environment, which rely on monetary incentives to attract human subjects to play gam...
متن کاملDiscrete Colonel Blotto and General Lotto games
A class of integer-valued allocation games—“General Lotto games”—is introduced and solved. The results are then applied to analyze the classical discrete “Colonel Blotto games”; in particular, optimal strategies are obtained for all symmetric Colonel Blotto games.
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