2 00 6 Two - player Knock ’ em Down

Abstract

We analyze the two-player game of Knock ’em Down, asymptotically as the number of tokens to be knocked down becomes large. Optimal play requires mixed strategies with deviations of order √ n from the näıve law-of-large numbers allocation. Upon rescaling by √ n and sending n → ∞, we show that optimal play’s random deviations always have bounded support and… (More)

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