Is there a game which is perfect, that is:
always provides a decisive victor, and
involves no component of luck
Possible games which would be perfect or near-perfect might involve the pie rule. https://en.wikipedia.org/wiki/Pie_rule
For the purposes of this question, a 'decisive victor' means that there is no tie, draw or stalemate- the game always ends with one player winning and another losing.
'Luck' includes any arbitrary decision outside the strategy of the players, such as deciding who gets to go first by flipping a coin.
In other words, what I'm asking is: is there a strategy game in which neither player has an advantage due to luck, but one of them must win.
It seems to me that there cannot be, because otherwise if two 'perfect' players played against each other, what could be the result?