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We estimate the probability that the game of Monopoly between two players playing very simple strategies never ends. Four different estimators, based respectively on straightforward simulation, a Brownian motion approximation, asymptotics for Markov chains, and importance sampling all yield an estimate of approximately twelve percent. 978-1-4244-5771-7/09/$26.00doi:10.1109/wsc.2009.5429349 dblp:conf/wsc/FriedmanHBG09 fatcat:by34dzaxzfctldjxly7owxfrvy