I am reading a book called Probability and Finance: It’s Only a Game, by Glenn Shafer and Vladimir Vovk, which has two insights which have caused my head to explode.
The first insight is that the environment is a player in the game. The basic game is between unequal players, Skeptic and World. The second insight is players can be decomposed into other players. They decompose World into a variety of other players, mostly by the kinds of moves they make.
It seems reasonable that this relationship must work two ways—something like all games roll up into Agent v. Reality games. If that is true, then I would accept the axiom of determinacy, because I have a real hard time imagining that Reality would not have the winning strategy over a long enough game.
The axiom of determinacy is very interesting.
I am reading a book called Probability and Finance: It’s Only a Game, by Glenn Shafer and Vladimir Vovk, which has two insights which have caused my head to explode.
The first insight is that the environment is a player in the game. The basic game is between unequal players, Skeptic and World. The second insight is players can be decomposed into other players. They decompose World into a variety of other players, mostly by the kinds of moves they make.
It seems reasonable that this relationship must work two ways—something like all games roll up into Agent v. Reality games. If that is true, then I would accept the axiom of determinacy, because I have a real hard time imagining that Reality would not have the winning strategy over a long enough game.