English

Uniform measure density condition and game regularity for tug-of-war games

Probability 2016-07-07 v2 Analysis of PDEs

Abstract

We show that a uniform measure density condition implies game regularity for all 2<p<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.

Keywords

Cite

@article{arxiv.1510.04710,
  title  = {Uniform measure density condition and game regularity for tug-of-war games},
  author = {Joonas Heino},
  journal= {arXiv preprint arXiv:1510.04710},
  year   = {2016}
}