Sports played on the moon would be subject to conditions which are quite different from those found on Earth.  First, the moon’s gravity is only about 17% of the gravity on earth, due to the fact that the moon has a smaller mass than Earth.  This would affect both the players and any devices used in play.  A ball, for example, would still fall to the surface, but it would go much higher and farther, and fall much more slowly than it would on Earth.  Player movement would be affected in the same way.  A person would weigh much less on the moon, and therefore their mobility would be different from what it would be on Earth (they would be able to jump higher, etc.). 

The difference in atmosphere would also come into play.  Due to its low gravitational pull, the moon retains almost no atmosphere.  First and foremost, this is one of the reasons any humans wishing to even set foot on the surface of the moon would need a special suit.  There is also the fact that any sports that rely on interaction with the atmosphere, as many games do, would have play drastically altered.  Take for example a curveball in baseball, or the backspin or topspin on a tennis ball.  The rotation of the ball combined with the atmosphere on Earth is what causes the balls to move in their unique ways (i.e. dipping, rising, or curving).  On the moon, no matter how a ball rotates it would not have the air to interact with, and therefore would continue in a straight path, only changing direction due to the effects of the moon’s gravity.

It should also be noted that the moon experiences a drastic range of temperatures between day and night periods.  The temperature can range between 100 K and 400 K, or about -250 F to +250 F. 

The moon has no surface water, and any sports involving water would have to be in a fully self-contained environment.  Otherwise, the water would either freeze or be lost into space due to the lack of atmosphere and drastic temperature shifts.

Finally, the surface of the moon is covered by a dusty substance which has resulted from the multitude of asteroid collisions with the planet.  This lunar dust known as “regolith” is generally anywhere from 1 to 40 m deep on the moon’s surface.  This would certainly affect any game played directly on the surface.