In this paper, we attempt to investigate the efficiency of emerging stock markets by considering the advent of dramatic country-specific events. In other words, we analyze and rank the weak-form efficiency levels of emerging stock markets based on a multi-step approach. Our findings support evidence of multifractality and anti-persistent movements of returns, implying a departure from the weak-form efficiency hypothesis. We also show that the political events adversely affect the efficiency degree of most markets. The empirical results clearly display the dynamic behavior of market efficiency. These findings are in line with the implications of the Adaptive Market Hypothesis.