"This Element introduces the replicator dynamics for symmetric and asymmetric games where the strategy sets are metric spaces. Under this hypothesis the replicator dynamics evolves in a Banach space of finite signed measures. The authors provide a general framework to study the stability of the...

This paper deals with continuous-time zero-sum two-person Markov games with denumerable state space, general (Borel) action spaces and possibly unbounded transition and reward/cost rates. We analyze the bias optimality and the weakly overtaking optimality criteria. An example shows that, in...

This paper gives conditions for the convergence of the Laurent series expansion for a class of continuous-time controlled Markov chains with possibly unbounded reward (or cost) rates and unbounded transition rates. That series is then used to study several optimization criteria, including...

This paper deals with continuous-time zero-sum two-person Markov games with denumerable state space, general (Borel) action spaces and possibly unbounded transition and reward/cost rates. We analyze the bias optimality and the weakly overtaking optimality criteria. An example shows that, in...

This paper deals with denumerable-state continuous-time controlled Markov chains with possibly unbounded transition and reward rates. It concerns optimality criteria that improve the usual expected average reward criterion. First, we show the existence of average reward optimal policies with...

This paper gives conditions for the convergence of the Laurent series expansion for a class of continuous-time controlled Markov chains with possibly unbounded reward (or cost) rates and unbounded transition rates. That series is then used to study several optimization criteria, including...