In the Queueing Game, the first person in line gets the best service. In a patent system, the first person to invent a device gets the patent. Let's apply that parallel and try to come up with a game-theoretic analysis of patenting. If you have studied those concepts, this will be your reminder.
Patents exist because inventions are easy to imitate.
An inventor could spend all his wealth working on an invention, and once it is proven, other businessmen could imitate it and get the benefit of all that investment without making any comparable investment of their own. Because of this, if there were no patents, there would be little incentive to develop new inventions, and thus very few inventions. At least, that's the idea behind the patent system. For this game example, let us think of some new invention. At the beginning of the game, a number of development labs are considering whether to invest in the development of the invention.