Continuous-Time Finite State Space Games
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Approximation Properties of Evolutionary Dynamics in Continuous-Time Finite State Space Games
arXiv:2606.11193v1 Announce Type: new Abstract: This thesis studies the convergence of finite-population stochastic evolutionary dynamics to their deterministic mean-field limit in continuous-time finite state space games. We first develop refined ergodic theorems for Markov chains with a single positive-recurrent class, guaranteeing the existence of a unique invariant distribution and almost-sure convergence of time averages. Next, we prove that the mean-field model, described by a system...