This is an empirical question about a given lottery. For instance, my friend and I can all agree to raffle off <this thing that one of us owns>, each put our tokens into a hat, and draw one out. Whoever wins, wins. They win a prize that they were party to choosing. But they didn't
decide to win.
Can't admit what? That the player is helping to establish what's at stake? Here's me posting about exactly that, in this thread, weeks ago:
I don't know what you mean by "crossing a line". What line? I also don't know what you mean by "altering a future declaration".