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Advances in Dynamic Games and Their Applications pp 1–16Cite as

On Differential Games with Long-Time-Average Cost

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Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 10))

Abstract

The paper deals with the ergodicity of deterministic zero-sum differential games with long-time-average cost. Some new sufficient conditions are given, as well as a class of games that are not ergodic. In particular, we settle the issue of ergodicity for the simple games whose associated Isaacs equation is a convex-concave eikonal equation.

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  1. Dipartimento di Matematica Pura ed Applicata, Università di Padova, via Trieste 63, Padova, 35121, Italy

    Martino Bardi

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  1. Martino Bardi
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    Bardi, M. (2009). On Differential Games with Long-Time-Average Cost. In: Pourtallier, O., Gaitsgory, V., Bernhard, P. (eds) Advances in Dynamic Games and Their Applications. Annals of the International Society of Dynamic Games, vol 10. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4834-3_1

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