Generalizations of the General Lotto and Colonel Blotto Games

Dan Kovenock and Brian Roberson

Working Papers from Chapman University, Economic Science Institute

Abstract: In this paper, we generalize the General Lotto game (budget constraints satisfied in expectation) and the Colonel Blotto game (budget constraints hold with probability one) to allow for battlefield valuations that are heterogeneous across battlefields and asymmetric across players, and for the players to have asymmetric resource constraints. We completely characterize Nash equilibrium in the generalized version of the General Lotto game and then show how this characterization can be applied to identify equilibria in the Colonel Blotto version of the game. In both games, we find that there exist sets of non-pathological parameter configurations of positive Lebesgue measure with multiple payoff nonequivalent equilibria.

Keywords: Colonel Blotto game; General Lotto game; Multi-battle contest; Redistributive politics; All-pay auction (search for similar items in EconPapers)
JEL-codes: C72 D72 D74 (search for similar items in EconPapers)
Date: 2015
New Economics Papers: this item is included in nep-gth and nep-hpe
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (11)

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Related works:
Journal Article: Generalizations of the General Lotto and Colonel Blotto games (2021)
Working Paper: Generalizations of the General Lotto and Colonel Blotto Games (2015)
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Persistent link: https://EconPapers.repec.org/RePEc:chu:wpaper:15-07

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