A zero-sum differential game is uniquely ergodic iff the players have no disjoint 'dominions', approximately invariant sets each can defend, under an equicontinuity or uniform-time-estimate condition.
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Unique ergodicity of deterministic zero-sum differential games
A zero-sum differential game is uniquely ergodic iff the players have no disjoint 'dominions', approximately invariant sets each can defend, under an equicontinuity or uniform-time-estimate condition.