| Título: | Two-Player Knock 'em Down |
| Autores: |
Fill, James Allen; The Johns Hopkins University Wilson, David B; Microsoft |
| Fecha: | 2008-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Knock 'em Down; game theory; Nash equilibrium Primary: 91A60; Secondary: 91A05 |
| Descripción: | 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. |
| Idioma: | No aplica |
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