In 5775, Pesach begins on Shabbat. While those outside Israel observe the 8th day of Pesach on Shabbat, in Israel, because there is no 8th day of Pesach, it will be a "regular" Shabbat. This means that they begin Pirkei Avot a week before those outside Israel. Does this mean that Israel will always be a week ahead of those outside Israel for the entire Pirkei Avot season? Would this same scenario occur when the 2nd day of Shavuot is on Shabbat?