Complex sentence: After the 2004 Olympiad, the WBF and the governing bodies of three other games established the International Mind Sports Association and initiated its first priority, the quadrennial World Mind Sports Games, first held in Beijing October 2008, about two months after the summer Olympic Games.
Split into simpler sentences: After the 2004 Olympiad, the WBF and the world governing bodies of three other games established the International Mind Sports Association and initiated its first priority, the quadrennial World Mind Sports Games. The first WMSG were held in Beijing October 2008, about two months after the summer Olympic Games.