A game is a path (sequence of plays for computing lyrics) to optimization. Games adhere to the rules of gameplay. The intent of each and every one of our games is to derive a yesegalo proof (i.e., to make MONEY). Ludologically, games are sessions lasting for the duration of an opus, and conclude with a closed string, giving them congruence to sequenced images.
"Ludologically, anything can be gamed." - Link Starbureiy
Theoretically, games are economic phenomena, and any game can be reduced to just a path (random coil) needing closure.
Note (+): The reason we play games (or game) is to optimize an/some effect.