Abstract

We address a zero-sum differential game with ergodic payoff. We study this problem via the viscosity solutions of an associated Hamilton--Jacobi--Isaacs equation. Under certain condition, we establish the existence of a value and prove certain representation formulae.

MSC codes

  1. 90D25
  2. 90D26

Keywords

  1. differential games
  2. value
  3. Hamilton--Jacobi--Isaacs equation
  4. viscosity solution

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Information & Authors

Information

Published In

cover image SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Pages: 2020 - 2035
ISSN (online): 1095-7138

History

Published online: 26 July 2006

MSC codes

  1. 90D25
  2. 90D26

Keywords

  1. differential games
  2. value
  3. Hamilton--Jacobi--Isaacs equation
  4. viscosity solution

Authors

Affiliations

K. S. Mallikarjuna Rao

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