Even-split Strategy in Sequential Colonel Blotto Games

We generalize Klumpp, Konrad and Solomon's model (KKS Model) to multi-contestant sequential Colonel Blotto Games with prize functions where any contestant's prizes only depend on this contestant's own number of winning rounds. We show that with weakly monotonic prize functions and CSFs satisfying decreasing success rate condition, there exists a pure strategy Subgame Perfect Nash Equilibrium known as the even-split strategy profile. We also show that with strictly monotonic prize functions and Tullock CSFs with 0

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Year of publication:	[2022]
Authors:	Li, Xinmi ; Zheng, Jie
Publisher:	[S.l.] : SSRN
Subject:	Spieltheorie \| Game theory \| Auktionstheorie \| Auction theory \| Allokation \| Allocation \| Nichtkooperatives Spiel \| Noncooperative game \| Extensives Spiel \| Extensive form game

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