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This paper concerns continuous dependence estimates forHamilton-Jacobi-Bellman-Isaacs operators (briefly, HJBI). For the parabolicCauchy problem, we establish such an estimate in the whole space$[0,+\infty)\times\Rn$. Moreover, under some periodicity and ellipticityassumptions, we obtain a similar estimate for the ergodic constant associatedto the HJBI operator. An interesting byproduct of the latter result will be thelocal uniform convergence for some classes of singular perturbation problems.

Continuous dependence estimates for large time behavior for Bellman-Isaacs equations and applications to the ergodic problem