[0,1]- all-in or fold two player tournament

[pzhon]

Interesting work.

The cash game strategy ignores the value of position in future hands. For example, if you are getting 2:1 odds on an all-in call, the normal (positionless) assumption is that you need to win 1/3 of the time to call. However, the actual outcomes might be to have 0% of the chips, 10% of the chips in a particular position, or 30% of the chips in a particular position. Since the advantage/disadvantage of position depends on your stack size (primarily your effective stack size), the equities of these outcomes may not be spaced proportionately, and it might be right to call with a different threshold than 1/3.

I don't think this is important in practice because of the following:

[img]/images/graemlins/diamond.gif[/img] When the blinds are small with respect to the stacks, the value of position drops in proportion. You can improve your position by folding at most one big blind. Your simulation found large difference because you used very large blinds.

[img]/images/graemlins/diamond.gif[/img] Your [0,1]-game overestimates the effect in Hold'em, since even the worst hands win a substantial fraction of the time in Hold'em.