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Nonautonomous Games with Convexity–Concavity Assumptions

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Discrete-Time Optimal Control and Games on Large Intervals

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 119))

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Abstract

In this chapter we study turnpike properties of approximate solutions for a class of dynamic discrete-time two-player zero-sum games with convexity–concavity assumptions. These properties describe the structure of approximate solutions which is independent of the length of the interval, for all sufficiently large intervals. We also study the existence of equilibria over an infinite horizon employing a version of the overtaking optimality criterion.

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References

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Zaslavski, A.J. (2017). Nonautonomous Games with Convexity–Concavity Assumptions. In: Discrete-Time Optimal Control and Games on Large Intervals. Springer Optimization and Its Applications, vol 119. Springer, Cham. https://doi.org/10.1007/978-3-319-52932-5_7

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