Abstract Projections of the effect of climate change on future water availability are examined by reviewing the formulations used to calculate moisture transport between the ground and the atmosphere. General circulation models and climate change impact models have substantially different...

This paper deals with a Markovian decision process with an absorbing set J 0 . We are interested in the largest number β *≥1, called the critical discount factor, such that for all discount factors β smaller than β * the limit V of the N-stage value function V N for N →∞ exists and is...

We present tools and guidelines for investigating Lipschitz continuity of the value functions in MDP’s, using the Hausdorff metric and the Kantorovich metric for measuring the influence of the constraint set and the transition law, respectively. The methods are explained by examples....

We present tools and guidelines for investigating Lipschitz continuity of the value functions in MDP’s, using the Hausdorff metric and the Kantorovich metric for measuring the influence of the constraint set and the transition law, respectively. The methods are explained by examples....

This paper deals with a Markovian decision process with an absorbing set J <Subscript>0</Subscript>. We are interested in the largest number β<Superscript>*</Superscript>≥1, called the critical discount factor, such that for all discount factors β smaller than β<Superscript>*</Superscript> the limit V of the N-stage value function V <Subscript>N</Subscript> for N →∞ exists and is...</subscript></superscript></superscript></subscript>