In earlier time, the death of Saudi Arabia's King Abdullah bin Abdulaziz Al Saud would have rocked the oil market. The succession plan has always pointed in a direction away from U.S. interests and a turn toward an even harder line on Middle East issues. The antipathy toward Iran will be levered up, and the various Sunni-Shia battles will likely see greater escalation.
Oil prices have quickly jumped $1.00 per barrel on the news in a knee-jerk reaction to the uncertainty. What is more likely is an even greater commitment to over supplying the market, in attempt to drive out higher cost producers and hurting Iran and Russia as an additional benefit.
King Abdullah did push for modernization of Saudi society, allowing for more rights for women, but those efforts are now likely to be tabled.