Originally posted by royalchicken
Two players (A & B) divide a standard deck of cards by color. One player takes all diamonds, the other takes hearts. Black cards are placed face down after shuffling. The winner of the previous game or a randomly selected player pla ...[text shortened]... ed shortly. I also have a means worked out to play it over RHP.
I want to play. I have a vague strategy that I cannot
yet formulate into words.
One observation is that you need at least 91 black card
points to not lose, and you have 91 red card points to
spend in the auctions. Likewise, your oppenent needs
92 black card points to win. So the problem is to spend
your 91 RCP in such a way that you expect to prevent
your oppenent from accumulating 92 BCP.
From this analysis, a couple heuristics are obvious.
One is that if you are spending more than 1 RCP/BCP,
then your opponent will expect to spend less than 1 RCP/BCP,
and thus he will expect to get the majority of the BCP.
Likewise, if you can get your opponent to spend more
RCP/BCP in an auction than you, and his RCP/BCP for that
auction is over 1, then you have actually won that auction
in the big picture.
Of course, these are just heuristics, and deterministic
analysis of particular game situations could show them
to be unoptimal. For example, if you have 90 BCP to your
opponent's 91, and there is 1 BCP left, you need to get it,
regardless of how much RCP you have to spend on it. But
hopefully the above heuristics, along with others to be
discovered, will help you avoid such situations.