Abstract
We show that a uniform measure density condition implies game regularity for all $2<p<\infty$ in a stochastic game called “tug-of-war with noise”. The proof utilizes suitable choices of strategies combined with estimates for the associated stopping times and density estimates for the sum of independent and identically distributed random vectors.
Citation
Joonas Heino. "Uniform measure density condition and game regularity for tug-of-war games." Bernoulli 24 (1) 408 - 432, February 2018. https://doi.org/10.3150/16-BEJ882
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