The first two essays study the special quote (SQ) and limit up-limit down (LULD) rules. These rules are short duration price limits rules on the Tokyo Stock Exchange (SQ) and US stock exchanges (LULD). We present a novel research design where we create pseudo-event samples to test stock market behavior in the absence of these rules. The first essay examines price limit effects on delayed price discovery and the magnet effect. We find that neither SQ nor LULD delay price discovery. SQ exhibits evidence of the magnet effect at the upper price limit while LULD has no magnet effect. The second essay focuses on volatility spillover following a price limit event and microstructure noise during flash crashes. Consistent with previous findings rega...