The authors connect a dice game to multinomial walks and the inverted Dirichlet distribution, proving monotonicity of winning probabilities via the regularized beta function and analyzing asymptotics and last-player probabilities.
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A dice game, a multinomial walk, and the inverted Dirichlet distribution
The authors connect a dice game to multinomial walks and the inverted Dirichlet distribution, proving monotonicity of winning probabilities via the regularized beta function and analyzing asymptotics and last-player probabilities.