A totalitarian random Tug-of-War game on graphs is shown to have a value via discrete comparison principles, viscosity methods, and probabilistic arguments, relating it to Jensen's equations for infinity harmonic functions.
thesis, University of Jyv¨ askyl¨ a, 1998
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Totalitarian random Tug-of-War games in graphs
A totalitarian random Tug-of-War game on graphs is shown to have a value via discrete comparison principles, viscosity methods, and probabilistic arguments, relating it to Jensen's equations for infinity harmonic functions.