This paper gives a review of concentration inequalities which are widely employed in non-asymptotical analyses mathematical statistics wide range settings, from distribution-free to distribution-dependent, sub-Gaussian sub-exponential, sub-Gamma, and sub-Weibull random variables, the mean maximum concentration. provides results these settings with some fresh new results. Given increasing popula...

We introduce evolutionary dynamics for two-action games where agents with diverse preferences use statistical inference to guide their behavior. show that the dynamic converges a Bayesian sampling equilibrium (SESI) and set of SESIs is globally asymptotically stable. discuss global convergence unique SESI in anti-coordination games, welfare-improving tax scheme, selection coordination an applic...