Limit value of dynamic zero-sum games with vanishing stage duration

Sylvain Sorin

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arXiv · 1603.09089

Limit value of dynamic zero-sum games with vanishing stage duration

Sylvain Sorin

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Abstract

We consider two person zero-sum games where the players control, at discrete times {tn} induced by a partition $\Pi$ of R + , a continuous time Markov state process. We prove that the limit of the values v$\Pi$ exist as the mesh of $\Pi$ goes to 0. The analysis covers the cases of : 1) stochastic games (where both players know the state) 2) symmetric no information. The proof is by reduction to a deterministic differential game.

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Sylvain Sorin. 2016-03-30. Limit value of dynamic zero-sum games with vanishing stage duration. https://arxiv.org/abs/1603.09089

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