I am struggling with the concepts of Determinacy and Determinism. Are the following statements correct(for 2-player, zero-sum games)? Or am I getting something mixed up in my head?
A game has the property determinancy, if one player has a winning strategy.
A game is deterministic, if a game ends in a finite amount of steps.
A game is deterministic, if a game does not contain any element of chance.
A game where player L always wins(and player R always looses) after an infinite amount of steps, has the property determinancy, but is not deterministic.
I really appreciate any help!
A game is determined if one player has a winning strategy. ("Has the determinacy property" seems like it should mean this, too.)
A game is terminating/non-loopy if it ends in finitely many steps/turns (even though there may be no bound on the number).
A game is deterministic if there is no element of chance.
As you mention, a game could be determined without being terminating.