How to Set Up Hypergammon

Hypergammon is the 3-checker speed variant of backgammon. Each player starts with only 3 checkers — one on each of the 22-, 23-, and 24-points — and races to bear all three off before the opponent. The game is dramatically shorter than standard backgammon (typically resolved in 5–15 turns) and is heavily luck-driven owing to the smaller state space, but it preserves the structural mechanics of the standard game: hitting, the bar, doubling cube, and Crawford/Jacoby rules in match contexts.

Hypergammon is one of the few backgammon variants that has been completely solved — every legal position's exact equity is known from an exhaustive position database. Unlike standard backgammon, where engine evaluation is an approximation, Hypergammon evaluation is exact: the strongest play in any position is provably the strongest. This makes the variant particularly interesting for AI research and for testing rollout methodology.

For the standard 15-checker setup, see the main setup page. For the GamesGrid HyperBot heritage (Hugh Sconyers's exact-position-database bot), see Bots & AI.

1. The Hypergammon Starting Position

Each player begins with 3 checkers, placed on the three points furthest from their own bear-off:

Total: 3 checkers per player.

The opponent's setup is the mirror image — 1 checker each on their own 22-, 23-, and 24-points (which are the same physical points as your 1-, 2-, and 3-points).

The opening pip count is:

$22 + 23 + 24 = \mathbf{69}$

— substantially shorter than standard backgammon's 167. The game is built for speed.

2. Hypergammon Rules: What Changes From Standard Backgammon

The rules of hypergammon are intentionally minimal — almost everything that applies to standard backgammon applies here. The differences:

The smaller checker count means the dice variance dominates the outcome much more than in standard backgammon. A single bad roll can shift the equity by 30%+ in a hypergammon position; the equivalent shift in standard backgammon would be 5–10%.

3. Hypergammon as a Solved Game

Unlike standard backgammon, whose state space is too large for exhaustive computation, hypergammon has a small enough state space that the complete position database can be stored and queried directly. This work was done by Hugh Sconyers in the late 1990s and remains the canonical reference.

Sconyers's database contains, for every legal hypergammon position, the exact equity under optimal play by both sides. This means every move decision in hypergammon has a known correct answer; the dice and cube actions are likewise exact. The database is distributed as part of the GamesGrid platform and is also available in standalone form.

The implications:

• Hypergammon PR is effectively binary: a move either matches the database's optimal play (PR = 0 on that move) or it doesn't (positive equity loss).
• Hypergammon bot strength is exact in principle. The bot using the Sconyers database plays a provably optimal game.
• The dice variance produces large equity swings game-to-game, but the expected long-run win rate of an optimal player against any non-optimal opponent is calculable directly from the database.

4. MrHyperBot: The Original GamesGrid Hypergammon Bot

The original GamesGrid platform (1996–2008) ran MrHyperBot, a hypergammon bot built around Hugh Sconyers's database. MrHyperBot was the platform's permanent resident hypergammon player, available for 1-point matches against any GamesGrid member.

A few historical details:

• MrHyperBot played 600–700 matches per day at peak activity.
• Its ELO rating ranged from 1797 to 2109 over its operational lifetime — a 312-point swing driven entirely by the dice variance of the hypergammon position.
• Its PR within the variant was, by construction, zero (every move was the database's optimal play), but the rating fluctuation reflected the proportionally large dice contribution to outcomes.

The 2026 GamesGrid platform brings MrHyperBot back, running against the same Sconyers database that powered the original. Hypergammon as a variant remains a tournament-ladder offering in the new platform — a fast, deeply-mathematical sub-game for players who want to test their cube intuition under high-variance conditions.

The full historical detail of MrHyperBot and the original GamesGrid bot family is on the Bots & AI page.

5. Why Play Hypergammon

Three reasons hypergammon endures as a recognised competitive variant:

1. Speed. A typical hypergammon match resolves in 5–15 turns. You can play 20 hypergammon games in the time it takes to play one standard 7-point match. The variant is ideal for fast tournament formats and for warm-up matches before serious play.
2. Exact analysis. Unlike standard backgammon, where engine evaluations are approximations, hypergammon evaluations are provably exact. Players can study their hypergammon mistakes with absolute certainty about what the right play was.
3. Cube intuition training. Because the state space is small and the equity surface is fully mapped, hypergammon is an excellent training ground for cube-action intuition. Players who study their hypergammon cube decisions transfer cube-skill back into standard backgammon.

See Also

• Backgammon Setup — the standard 15-checker setup.
• Bots & AI — including the MrHyperBot / Sconyers database history.
• Rules of Backgammon — full rules that hypergammon inherits.
• Glossary — including the Hypergammon and MrHyperBot entries.

Footnotes