A game is an objective path to optimization subject to a reward function [games adhere to the rules (genetic algorithms) of gameplay]. Mathematically, games are used to train some object [mo].

The intent of each and every one of our games is to derive a yesegalo proof (ie. a zero bubble), in the style of capture the flag🏁.

Ludologically*, games are finite-state puzzles🧩 (ie. combinatorial events within a lab) whose sessions last for the duration& of an opus, and conclude with a closed🔒 brane, giving them congruence to sequenced images [mesh].** A game is 'played' when an opus is juked. Games can have one (1) or more players. (see Black and White) && Any game will have at least an opening and an end. (compare gene, see sport, player, gamification, gameshow, game theory, toy, puzzle🧩)

"Anything can be gamed." - 🧑🏿Link Starbureiy

Theoretically, games are economic phenomena purposed to optimize some thing, and any game can be reduced to just a path (random coil/partition of Egglepple) needing securing🔐.
/// +A requisite to meet the definition is that objectives must be met before advancing (which is why the reward function exists).
+A game must generate its own statistics.