Can Games Be Fair AND Not Futile?

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A game can be fair and not futile, as demonstrated by games like rock-paper-scissors, where outcomes depend on chance rather than strategy. The discussion highlights that if a game allows the first player to forfeit their move, it could negate any winning strategy for the second player. This is based on the premise that all players have equal options available at all times, except for the initial move. However, the concept of forfeiting a move still counts as a strategic choice, complicating the notion of fairness. Ultimately, the interplay between strategy and fairness in games remains a nuanced topic.
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Is is possible for a game to be fair but not futile?
 
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Of course. Scissor paper stone is one that is fair but not futile (there is no strategy that forces a draw).
 
Thanks. Here's a follow up: If a game allows the first player to forfeit his first move, then there cannot be a winning strategy for the second player, right? Since if there is such a strategy for player 2, then player 1 could simply forfeit the frist move and adopt the strategy of player 2.
 
That assumes that the same options are open to all players at all times (apart from the first move). It is trivial to give a (trivial) game where 'player 2' has a winning strategy; forfeiting your first move *is still a move*.
 
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