Gameweave

Accumulation

Overview

Accumulation is a fast, "hot potato" style elimination dice game. Players share one running total and take turns adding their roll to it. Push the total past 40 and you bust out. It shares a spiritual lineage with card games like 99, where everyone piles onto a shared pool and tries desperately not to be the one who tips it over the edge.

Objective

Survive. Be the last player who has not busted.

Equipment

•
Two shared six-sided dice
•
One shared running total, starting at 0

Setup

•
2–6 players (best with 3–5).
•
In the tabletop game every player rolls one die and the highest roll goes first; here Player 1 leads off. Play then proceeds clockwise (to the left).
•
The shared running total starts at 0.

On Your Turn

Before you roll, make a choice:
1.
Choose your dice — declare whether you will roll one die or two dice.
2.
Roll your chosen dice.
3.
Add the result to the shared running total.
4.
Pass to the player on your left.

Busting & New Rounds

•
If your roll pushes the running total to 41 or higher, you bust and are out of the game for good.
•
The running total then resets to 0.
•
The remaining players begin a fresh round of accumulation, starting with the player to the left of the one who just busted.
•
This continues until only one player remains — the winner.

The Safe Zones

Knowing when one die beats two is the whole game:
Running Total
Best Choice
Why
0–28
Roll 2 dice
Even a max roll of 12 only reaches 40 — no risk.
29–34
Roll 1 die
Two dice can now bust; one die (max 6) cannot.
35–40
Roll 1 die and pray
Every roll can bust — pick the smaller gamble.

Odds in the Risk Zone

A roll survives when it leaves the total at 40 or lower.
Total
One Die — survives on
Chance
Two Dice — survives on
Chance
35
1–5
83.3%
sum ≤ 5
27.8%
36
1–4
66.7%
sum ≤ 4
16.7%
37
1–3
50.0%
sum ≤ 3
8.3%
38
1–2
33.3%
double 1
2.8%
39
exactly 1
16.7%
none
0%
40
none
0%
none
0%

The Golden 40

If you are handed a total of 39 and roll a 1, the total becomes exactly 40 — and you pass it along. Because every player must roll at least one die (minimum 1), whoever receives a total of 40 is guaranteed to bust (40 + 1 = 41). Landing the total on exactly 40 for your neighbour is the ultimate offensive move in Accumulation.

Winning

The last player who has not busted wins the game.