Heads Up Game Theory exercise

[omgwtfnoway]

jay, if the sb folds his equity is -.5bb, no?

[Jiganti]

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jay, if the sb folds his equity is -.5bb, no?

[/ QUOTE ]

Yes, this sounds correct.

[jay_shark]

Actually if he folds then his EV=0 because once he posts the sb , it doesn't belong to him anymore .

For the second question , lets assume that both players pick random numbers from the interval [0,1] and that there is no sb or bb . Since hero acts first , he will bet if he thinks his number is the highest or fold otherwise . Villain can only call the bet and nothing else . Both players post $1 in antes and can only bet $1 or fold .

What numbers should hero bet with ?
What hands should villain call with ?