Multiplayer Arithmetic Rules, v3

Multiplayer Arithmetic Rules
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Multiplayer Artithmetic (MA for short) is a game involving 1
or more human players.  The object of the game is to reach a
certain numeric value with dice rolls all the while
navigating the rule set that is being created by the players
of the game.

A children's version of this game could just be to have the
children pick a number and then roll the die until one gets
higher than the picked number; that person would then be the
winner.

MA is slightly more complicated.  Each player rolls, sums
their roll into their accumunlated count and then makes up a
new rule that they and the other players must follow.


Note: I have never played this game and I'm am actually
unsure of just how much fun it will be to play, hence my
suggestion for 'strip MA', just to see if that 'spices'
things up a bit in case the game gets a bit too boring for
some.

I'm still looking for someone to play with.

Tweetable Version
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Find a value for N. Roll d6 for n. Evaluate every rule, add
n to their count, create a new rule. Dice Ad infiniteneum,
until N is overcome,

Equipment
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n Players (n >= 1)

1 d6 (six sided die, or more, if all players have the same die shape)

one or more sheets of paper (one for keeping score, the
other for for storing the rules)

pen or pencil + eraser (i prefer pen)

Unabridged Rules
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1) Pick a player (called the X) to go first, who then picks
   the target goal value of N[1][2]

2) The player rolls a d6 and names that value z.

3) Each successive player takes a turn, consisting of the 3
   following sub-rules in any order:

   a) Add z to the players numeric total.

   b) Enumerating all of the rules *precisely* and *exactly*
      using the current and the previouly stored values of
      n[2].

   c) Create a rule[3] to be added to the rule list[4]

3) If a players count surpasses N, the player wins.

[1] I suggest 60, as this means a minimum of 10 rolls in the
    game.  Actual play may lead to a better default value.
    Smaller values should lead to shorter games.

[2] Note: the X doesn't play until all others have had a
    chance to roll.

[2] Any cheating or breakage of the rules leads to an
    immediate loss.

[4] Two example rules:

    a) Roll two 3's in a row gives you another role

    b) Roll a 6 and then 1 allows you to create another rule
    automagically

    c) Roll a 6,6 and 6 and then you can delete a rule

Creativity counts.

Rule hints
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I think that to play a 'standard' game, the rules should be
confined to either the rolls of the dice, the values on the
dice and the marks that are placed on the sheet of paper.
This would consitutue the 'playing field' and 'tokens' used
by the game.

Of course some more interesting variety of games can be
thought up, such as 'strip' multiplayer arithmetic, but I'll
leave that as an exercise for the readers, or maybe a field
trip for the teacher, someday.

Please.

Strategy Hints
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-- rules should be about 'pruning' the rule list.  Any more
   than 2 or maybe 3 players will probably, unless we have
   some pretty good rule cancellors/editors, lead to an
   untractable game given the number of rules that will be
   have to be followed *exactly* per turn.

-- be sure to keep TRACK of your single d6 rolls as some
   rules may depend on previous values that have been given

-- make your own die (d6 or higher, if the other players
   agree), it's more fun that way, if only a way to show
   others your art.

Have fun.


Some analysis notes:

-- what is the maximum number of human players that can play
   this game and still enjoy it?

-- is strip multiplayer arithmetic really as fun as I think
   it would be, even with only 2 players?

-- Can thus game be solved?  I have a feeling about the
   random element in rules 3a,b,c might lead to a bit of
   intracable chaos, but really, I can't say I've really
   been keeping up with current events in the fields of
   mathematics.

--
Burton Samograd aka neuromancerX