[Talk] Hand vs Distribution
Concealed hands make for a much better game; hence the popularity of
poker games with hidden information. We now consider situations where
only one hand is revealed, while the other hands are some sort of
distribution. For these cases we can use the expected value techniques
previously discussed to arrive at the best play, if we can come up with
an accurate characterization of the opponent's strategy. For the time
being, we will not concern ourselves with our opponent's changing
strategies, but simply assume that we are able to estimate reliably how
he will play his various hands. We will return to the idea of players
adapting their strategies and the value of an entire distribution
changing as the result of different strategies with individual hands
at length in later chapters.
But before we get too deeply into analyzing particular games, we can discuss
a concept that plays a valuable role in attempting to analyze games of
more complexity. This concept is of particular value in games such as
holdem.
This value has two components; one is what we frequently call showdown
equity, which is the expectation that each hand has if we simply stopped
the betting right now and dealt all the cards out immediately. The other
is what we call ex-showdown equity, the expectation that each hand has
in the post-flop betting.
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