Game: Play: Simulation

I think the most common way we use the word play is when we want to engage in some sort of activity, like sports, board game, video games. However the word play has more then one use and can be used different ways. The word play can refer to a stage play that consists of dialogue and characters for any type of performance. Play is also used in sports like American football, there are offensive and defensive plays, for an offensive play the play usually starts when the quarterback is hiked the ball and the play ends once the ball has failed to gain yards, intercepted, downed. The word play is also used for music, like radio stations often play music and listeners often have requests to play their favorite song.
When we use the word game I tend to hear it used as an activity or video game, and could also be used as slang. I would commonly describe game to something you play and involves competition but it also has many other meanings. Hunting animals or people can also be called a game which in reality is not cool :/ but then again there was a childhood game I would play in my neighborhood called Man Hunt which was pretty fun and no it was not violent. I use the word game for short for "game over" when I'm playing sports I mostly use it in handball. People often use the word game to measure how smooth you are with the ladies/opposite sex. Game can also mean that you are willing to do something. How do I know if I see a game would probably be if I saw any sort of entertainment like having some sort of challenge in a game.
A simulation is a copy of something real like a flight simulation, marine simulation, computer simulations usually used for testing or training safely. A simulation is a substitute of the real thing, like a computer simulation can make some of the things we think is impossible become possible. However it is often used for testing and training.