In this question by "metagame" I mean a game which functions to create the rules of a sub-game.
Is there a universal metagame that would allow to create any game (including itself). Such game would be universal in a similar sense that a universal Turing machine can simulate any Turing machine (including itself).
Perhaps this isn't really significantly different from a universal Turing machine. One might define a game as a Turing machine that decides who wins based on input play, and then one could create a Turing machine that takes the rules of the game (= description of the game Turing machine) as input and simulates that game. If all the input must be generated by the players, then simply add a player that chooses the rules of the game. That way we end up with a universal game Turing machine.
