MATRIX TOOLS PAIRINGS TOOL

PAIRINGS TOOL

Compute the assignment-optimal team pairing for 8v8 (WTC) or 5v5 (regional and team-open) formats. Each cell is a captain's read of a matchup on the five-point scale (−2 to +2) used in WTC prep. The tool finds the Hungarian-optimal assignment, compares it to alternatives, and tells you how robust the call is to your matchup estimates being off.

TEAM A · YOUR TEAM

SELECT N LISTS

MATCHUP MATRIX

CAPTAIN'S READ · WTC-STYLE RATING · ★ = HUNGARIAN OPTIMAL
↓ TEAM A LISTS TEAM B LISTS →
−2 VERY BAD Strong underdog — need variance to win ≈ 30% win
−1 BAD Underdog — uphill but playable ≈ 40% win
 0 EVEN Coin flip — anyone's game ≈ 50% win
+1 GOOD Favored — should win more often ≈ 60% win
+2 VERY GOOD Strong favorite — should rarely lose ≈ 70% win
► The −2 to +2 scale is how most captains think about matchups. The percentages are an illustrative calibration; in v1 these will be user-editable and tied to empirical aggregator data.

TEAM B · OPPONENT

SELECT N LISTS

OPTIMAL ASSIGNMENT

HUNGARIAN · MAXIMUM TOTAL RATING
TOTAL MATCHUP RATING
+5/ +8 MAX
Calibrated win-probability sum: 2.50 / 4 (62.5% implied team win rate).

ALTERNATIVES

NEXT BEST · NAIVE · WORST

SENSITIVITY

HOW ROBUST IS THE CALL
SMALLEST FLIP
±1RATING STEP
A single matchup re-rated by this much flips the optimal assignment. Dashed cells are most fragile.
CLASSIFICATION
MODERATELY ROBUST
A robust call holds under reasonable mis-estimation. A brittle one flips on a small rating change.

PAIRING PROTOCOL

HOW INFORMATION REVEALS · CHANGES OPTIMAL STRATEGY
Blind written: Both captains commit to their full pairing simultaneously without seeing the other's. Strategy collapses to pure optimization against an expectation of the opponent's call. The Hungarian-optimal assignment under your stated ratings is the right answer if you have no read on the opposing captain's tendencies.
► Sequential and snake protocols are partial-information games. A step-through simulator is planned for v1 (see register entries T002 / T011).

PRESETS

FROM THE DECISION ARCHIVE
DECISION AID · NOT DECISION

This tool surfaces what your matchup ratings imply. If your reads are noisy — and pre-event matchup estimates almost always are — the optimal assignment is noisy too. Always read the sensitivity readout. A brittle "optimal" that flips on a single rating step is barely an optimal at all; in real play, a captain with good intuition for the opposing player's style or an information edge will outperform a captain who blindly trusts a math-optimal pairing built on shaky inputs. Use this tool to surface and stress-test your reasoning, not to replace it.