[mersenneary]

You're heads up at the final table of an online $1K tournament, even chip stacks, and for whatever reason, you know that your opponent can see your cards. Having no other choice, you decide to play it out before complaining, hoping to win anyway. What is your optimal strategy?

For example, being very aggressive with draws seems to go way up in value, but suited connectors go down in value preflop. River play changes a lot because you have to determine if he just thinks you can be bluffed out, or just knows he is good. Betting the river is always -EV except if done for some other +EV strategy (i.e. you think he will bluff-raise a scare card and you have the stones to call and win even more chips). Do you just find flops where you know that in all likelihood you have at least 8 outs if he does have a good hand and shove, or do you just play very passively with marginal hands, or what the heck do you do? There are clearly bad things to do and good adjustments to make, it's just hard to figure out what. Lots of connections to the Fundamental Theorem of Poker.