Yehuda John Levy, Andrew McLennan,  School of Economics Discussion Paper No. 527 July 2014, Nuffield College, University of Oxford, School of Economics, The University of Queensland.

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Levy (2013) presents examples of discounted stochastic games that do not have stationary equilibria. The second named author has pointed out that one of these examples is incorrect. In addition to describing the details of this error, this note presents a new example by the first named author that succeeds in demonstrating that discounted stochastic games with absolutely continuous transitions can fail to have stationary equilibria.