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Multiplayer Arithmetic Rules, v3

Apr 13th, 2014
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  1. Multiplayer Arithmetic Rules
  2. =-=-=-=-=-=-=-=-=-=-=-=-=-=-
  3.  
  4. Multiplayer Artithmetic (MA for short) is a game involving 1
  5. or more human players.  The object of the game is to reach a
  6. certain numeric value with dice rolls all the while
  7. navigating the rule set that is being created by the players
  8. of the game.
  9.  
  10. A children's version of this game could just be to have the
  11. children pick a number and then roll the die until one gets
  12. higher than the picked number; that person would then be the
  13. winner.
  14.  
  15. MA is slightly more complicated.  Each player rolls, sums
  16. their roll into their accumunlated count and then makes up a
  17. new rule that they and the other players must follow.
  18.  
  19.  
  20. Note: I have never played this game and I'm am actually
  21. unsure of just how much fun it will be to play, hence my
  22. suggestion for 'strip MA', just to see if that 'spices'
  23. things up a bit in case the game gets a bit too boring for
  24. some.
  25.  
  26. I'm still looking for someone to play with.
  27.  
  28. Tweetable Version
  29. -----------------
  30.  
  31. Find a value for N. Roll d6 for n. Evaluate every rule, add
  32. n to their count, create a new rule. Dice Ad infiniteneum,
  33. until N is overcome,
  34.  
  35. Equipment
  36. -=-=-=-=-
  37.  
  38. n Players (n >= 1)
  39.  
  40. 1 d6 (six sided die, or more, if all players have the same die shape)
  41.  
  42. one or more sheets of paper (one for keeping score, the
  43. other for for storing the rules)
  44.  
  45. pen or pencil + eraser (i prefer pen)
  46.  
  47. Unabridged Rules
  48. ----------------
  49.  
  50. 1) Pick a player (called the X) to go first, who then picks
  51.    the target goal value of N[1][2]
  52.  
  53. 2) The player rolls a d6 and names that value z.
  54.  
  55. 3) Each successive player takes a turn, consisting of the 3
  56.    following sub-rules in any order:
  57.  
  58.    a) Add z to the players numeric total.
  59.  
  60.    b) Enumerating all of the rules *precisely* and *exactly*
  61.       using the current and the previouly stored values of
  62.       n[2].
  63.  
  64.    c) Create a rule[3] to be added to the rule list[4]
  65.  
  66. 3) If a players count surpasses N, the player wins.
  67.  
  68. [1] I suggest 60, as this means a minimum of 10 rolls in the
  69.     game.  Actual play may lead to a better default value.
  70.     Smaller values should lead to shorter games.
  71.  
  72. [2] Note: the X doesn't play until all others have had a
  73.     chance to roll.
  74.  
  75. [2] Any cheating or breakage of the rules leads to an
  76.     immediate loss.
  77.  
  78. [4] Two example rules:
  79.  
  80.     a) Roll two 3's in a row gives you another role
  81.    
  82.     b) Roll a 6 and then 1 allows you to create another rule
  83.     automagically
  84.    
  85.     c) Roll a 6,6 and 6 and then you can delete a rule
  86.      
  87. Creativity counts.
  88.  
  89. Rule hints
  90. -----------
  91.  
  92. I think that to play a 'standard' game, the rules should be
  93. confined to either the rolls of the dice, the values on the
  94. dice and the marks that are placed on the sheet of paper.
  95. This would consitutue the 'playing field' and 'tokens' used
  96. by the game.
  97.  
  98. Of course some more interesting variety of games can be
  99. thought up, such as 'strip' multiplayer arithmetic, but I'll
  100. leave that as an exercise for the readers, or maybe a field
  101. trip for the teacher, someday.
  102.  
  103. Please.
  104.  
  105. Strategy Hints
  106. --------------
  107.  
  108. -- rules should be about 'pruning' the rule list.  Any more
  109.    than 2 or maybe 3 players will probably, unless we have
  110.    some pretty good rule cancellors/editors, lead to an
  111.    untractable game given the number of rules that will be
  112.    have to be followed *exactly* per turn.
  113.  
  114. -- be sure to keep TRACK of your single d6 rolls as some
  115.    rules may depend on previous values that have been given
  116.  
  117. -- make your own die (d6 or higher, if the other players
  118.    agree), it's more fun that way, if only a way to show
  119.    others your art.
  120.  
  121. Have fun.
  122.  
  123.  
  124. Some analysis notes:
  125.  
  126. -- what is the maximum number of human players that can play
  127.    this game and still enjoy it?
  128.  
  129. -- is strip multiplayer arithmetic really as fun as I think
  130.    it would be, even with only 2 players?
  131.  
  132. -- Can thus game be solved?  I have a feeling about the
  133.    random element in rules 3a,b,c might lead to a bit of
  134.    intracable chaos, but really, I can't say I've really
  135.    been keeping up with current events in the fields of
  136.    mathematics.
  137.  
  138. --
  139. Burton Samograd aka neuromancerX
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