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Two-Player, Zero-Sum Differential Games and Viscosity Solutions

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Stochastic and Differential Games

Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 4))

Abstract

In this chapter I describe some of the recent advances made in the theory of two-person, zero-sum deterministic and stochastic differential games using the theory of viscosity solutions of first-and second-order fully nonlinear elliptic and parabolic partial differential equations.

Partially supported by the National Science Foundation, the Army Research Office, and the Office for Naval Research.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, Madison, 480 Lincoln Drive, WI, 53706-1388, USA

    Panagiotis E. Souganidis

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  1. Panagiotis E. Souganidis
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Editors and Affiliations

  1. Dipartimento di Matematica Pura e Applicata, UniversitĂ  degli Studi di Padova, 35131, Padova, Italy

    Martino Bardi

  2. Department of Mathematics, University of Illinois, Chicago, IL, USA

    T. E. S. Raghavan

  3. Indian Statistical Institute, New Delhi, India

    T. Parthasarathy

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Souganidis, P.E. (1999). Two-Player, Zero-Sum Differential Games and Viscosity Solutions. In: Bardi, M., Raghavan, T.E.S., Parthasarathy, T. (eds) Stochastic and Differential Games. Annals of the International Society of Dynamic Games, vol 4. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1592-9_2

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  • DOI: https://doi.org/10.1007/978-1-4612-1592-9_2

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7208-3

  • Online ISBN: 978-1-4612-1592-9

  • eBook Packages: Springer Book Archive

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