The first golfers went on the course five hours late and some wore anti-pollution masks.
The delegation will be chaired by Fahad bin Nasser al Nuaimi, Secretary General of Qatar Golf Association (QGA).
The tournament series will span a period of 7 months and will be open to members of the golf clubs.
Hatton parred the fourth extra sudden-death hole to deny Austria's Matthias Schwab his first European Tour title in the most agonising fashion.
The journeyman US professional surged to victory by four shots at the Port Royal Golf Club course in Southampton after a spectacular birdie blitz on the front nine.
McIlroy had a one-stroke lead coming to the 18th tee of regulation play in Shanghai but nearly put his drive into the lake, and ended with a par.
Australia's Minjee Lee is in second place, with Germany's Caroline Masson third.
The 30-year-old Northern Irishman did not drop a stroke, and took sole possession of the lead with his last shot of the day.
The 30-year-old Northern Irishman's stellar season has propelled him up the world golf rankings, and although a victory in Shanghai won't push him past the absent Koepka, McIlroy said he's not finished.
Woods carded a final-round three-under 67 for a three-stroke victory over home favourite Hideki Matsuyama after play spilt over into Monday after Friday was washed out.
Victory for Woods on Monday would see the 15-time major champion add another illustrious chapter to his astonishing career by equalling US legend Sam Snead's all-time mark of 82 PGA Tour wins.
He started more steadily on Saturday and was one-under at the turn before switching on the afterburners.
Woods, three over after three holes, bounced back in stunning fashion with a back-nine of 29 and a six-under round of 64 to top the leaderboard alongside US Open champion Gary Woodland.
The 43-year-old, chasing an 82nd US PGA Tour victory, bounced back in stunning fashion with a back-nine of 29 and a six-under round of 64 to top the leaderboard alongside US Open champion Gary Woodland.
World number one Koepka made worldwide headlines at the CJ Cup in South Korea last week after scotching the notion of a burgeoning rivalry with second-ranked McIlroy.