Or if not achieve something, at least prevent the other guy from achieving anything.
However, in this scenario, it doesn’t take much willpower. Every time someone pushes ‘reset’, (s)he thinks it is the first time the button has been pushed.
So it requires determinism, not determination, to keep on doing what you did before. ;)
Actually, given that the player who goes back retains his memories, even what you suggest doesn’t guarantee a cycle. So my mention of determinism was fatuous. What is required is simply that the two players continue to retain a determination to win.
Or if not achieve something, at least prevent the other guy from achieving anything.
However, in this scenario, it doesn’t take much willpower. Every time someone pushes ‘reset’, (s)he thinks it is the first time the button has been pushed.
So it requires determinism, not determination, to keep on doing what you did before. ;)
Only if each reset went back further than the other player’s last reset, which obviously isn’t a stable equilibrium.
Actually, given that the player who goes back retains his memories, even what you suggest doesn’t guarantee a cycle. So my mention of determinism was fatuous. What is required is simply that the two players continue to retain a determination to win.