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.
Wi lson, Tug-of-war and the infinity Laplacian , Journal of the American Mathematical Society 22 (2009), 167–210
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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.