Max Pips
United States Lititz Pennsylvania

I'm trying to identify the source of a mental game/puzzle. It goes something like this:
1. Players pick a number between 1 and 6. 2. If your number is one less than another player's number, you eliminate them. 3. If you match numbers with another player, you are both eliminated. 4. Highest remaining number wins.
It's a cool brainteaser that I've used to make a fun little dice game that has a touch of metagaming potential ... I'll post it here soon.
Thanks for taking a look.

Jeff Cramer
United States Littleton Colorado

Sounds like the Tanga Bottom Feeder contest rules but the lowest unique number wins. I'd be curious to see your game. This would make an interesting mechanism.

Richard Irving
United States Salinas California

mawiker wrote: 3. If you match numbers with another player, you are both eliminated.
What if three/four/five....a googleplex of people match?
I realize you PROBABLY meant all matched players are eliminated.
Given enough people (and limiting the range allowable guesses to the integers 16), it is virtually assured no one will win. An interesting problem would be determine the number of players that makes it at 50% chance that no one will win. My guess is 9.
EDIT: Wrote an Excel program run though 1000 trials at a time, it turns out 10 "completely random guessers" (aka dice) is very close to the 50% no winner pointrepeated runs were mostly within 500+/25 "no winners" per 1000 trials.

Max Pips
United States Lititz Pennsylvania

Richard, the game based upon this mechanic offers a little more depth than easy elimination of other players. Multiple dice may be selected and if multiple players match a number on their dice, only those dice are eliminated on a 1for1for1, etc. basis. Matched players aren't eliminated, just the matching dice.
Yes, just integers, you sneaky fella. The rules will follow. I'd be interested in seeing your Excel file ... could you email it to:
mawiker [at] drop [dot] io

Max Pips
United States Lititz Pennsylvania

Here's the game:
Playing Time: 510 minutes # of Players: 26 Ages: 7+
Object of the Game To conquer all other armies. The player with the most victory points (VPs) wins.
Setup • Each player gets 10d6.
Order of Play
1. Starting Combat • Each player secretly selects from 1 to 3 dice from their dice pool. (Keep the unselected dice aside and hidden for the next round of combat. Players may find that using one hand to conceal the selected dice and one hand to conceal their dice pool is an effective way to keep information hidden during the game.) • Each player then secretly selects a number from 1 to 6 for each die. (It’s a d6, so a player turns the die so the number they select is on top). • All players simultaneously reveal their dice and the numbers they have selected.
2. Eliminating Dice • First, all dice with the same number are eliminated on a 1to1 basis. For example, Aaron, Chris, and Mark all choose to bring 3 dice to the first combat as follows: Aaron selects 5, 6, 6 Chris 3, 5, 6 Mark 5, 5, 6 Aaron, Chris, and Mark each lose a 5 and a 6. They now have: Aaron 6 Chris 3 Mark 5 • Then, dice eliminate other dice of 1point greater value, starting with 5's eliminating 6's, then 4’s eliminating 5’s, 3’s eliminating 4’s, etc. Continuing the above example: Mark’s 5 eliminates Aaron’s 6, leaving Chris with a 3 and Mark with a 5.
3. Comparing Results • Now compare the sums of the remaining dice. The player with the highest total wins a number of victory points equal to his total minus the next highest roll. If all other players are eliminated, the winning player scores points equal to their roll. Continuing the above example: Mark wins 2 VPs (his 5 minus Chris’ 3). • If the final total is tied, the player with more dice wins 1 point. If a tie still exists, the player with the highest number on their dice wins 1 point. • If a player has dice remaining in their dice pool after all possible combats, score only 1 point per die.
4. Clear the Field • Remove any remaining dice from the conflict. These dice may be used to keep track of VPs. • Proceed to 1. Starting Combat.
Winning The player with the most VPs at the end of the game wins.

Max Pips
United States Lititz Pennsylvania

Now to add a few brainteasers based on this game:
1. How many different combinations can occur by taking 1 to 3 dice per turn from a dice pool of 10 throughout the course of a game? (This is just the number of dice a player brings to a combat, not the numbers on the dice themselves.)
2. What is the fewest number of combats that can occur in a game? The most?
Spoiler (click to reveal) 1. Did you get 14 possible ways?:
1 1 1 1 1 1 1 1 1 1 (a player only brings 1 die per combat) 2 1 1 1 1 1 1 1 1 (a player selects 2 dice for one combat, but only 1 for all other combats) 3 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 3 2 1 1 1 1 1 3 3 1 1 1 1 2 2 2 1 1 1 1 3 2 2 1 1 1 3 2 2 2 1 3 3 2 1 1 2 2 2 2 1 1 3 3 2 2 2 2 2 2 2 3 3 3 1 (a player brings 3 dice to three combats and 1 die to another combat)
2. Least = 4. Most = 10 (and that's if all players only bring 1 die per combat ... very unlikely indeed.)


