Tug-of-War and Infinity Laplace Equation with Vanishing Neumann Boundary Condition

We study a version of the stochastic “tug-of-war” game, played on graphs and smooth domains, with the empty set of terminal states. We prove that, when the running payoff function is shifted by an appropriate constant, the values of the game after n steps converge in the continuous case and the case...

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Bibliographic Details
Main Authors: Antunović, Tonći, Peres, Yuval, Sheffield, Scott Roger, Somersille, Stephanie
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Taylor & Francis 2013
Online Access:http://hdl.handle.net/1721.1/81194
https://orcid.org/0000-0002-5951-4933