@article{EJP485,
author = {James Fill and David Wilson},
title = {Two-Player Knock 'em Down},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {13},
year = {2008},
keywords = {Knock 'em Down; game theory; Nash equilibrium},
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 $\sqrt{n}$ from the naïve law-of-large numbers allocation. Upon rescaling by $\sqrt{n}$ and sending $n\to\infty$, we show that optimal play's random deviations always have bounded support and have marginal distributions that are absolutely continuous with respect to Lebesgue measure.},
pages = {no. 9, 198-212},
issn = {1083-6489},
doi = {10.1214/EJP.v13-485},
url = {http://ejp.ejpecp.org/article/view/485}}