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Exploring Strategies for 6nimmt!

We have long been fans of an excellent card game called “6 Nimmt!” or
Category 5. It is a fast paced game that is especially suitable when
playing with a large group, since all the players make their turn at
the same time.

- Beskriving av regler -

On more than one occasion players have been overwelmed by the chaotic
nature of the game and declared that they might just as well choose
their cards randomly. This is especially true for players trying the
game for their first time. But even experienced sometimes get the same
feeling. After a few setbacks, some unexpected turns and big losses
one cannot but start wondering if all the planning, analyzing and
thinking is just having the opposite effect. We have also on multiple
occasions witnessed players deploying a random strategy without being
noticably worse off than when playing their usual game.

So we have decided to finally get to the bottom of this. How bad is a
random strategy? The next natural question is; What strategy, if any
beats a random strategy?

These are not questions that can be answered by a simple answer. We
have to make a few assumptions and take a few steps to get somewhere.

Experiments