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Glossary

SALSA

Mucho+MOTA's MaxEnt-based tournament simulator that produces an entire ROI distribution from two structural parameters (cash frequency and heads-up edge), the field size, the payout vector, and the rake.

SALSA is the maximum-entropy tournament simulator at the core of Mucho+MOTA. Given five inputs — cash frequency (CF), heads-up edge (HU), field size, the payout vector, and the rake — SALSA returns the full distribution of finish positions for one player in one tournament. Composed across many tournaments, this becomes the player’s ROI distribution.

The construction is from Jaynes’ principle of maximum entropy: among all finish distributions consistent with the two structural sufficient statistics (CF, HU), pick the one that maximizes Shannon entropy. The result is an exponential family — a Boltzmann/Gibbs distribution — solvable in closed form via Lagrange multipliers. This is what the ELCOMBO paper formalizes.

Why two parameters? Because for the asymptotic ROI distribution, those two are jointly sufficient — additional player-level covariates do not asymptotically reduce the variance of the ROI estimator once CF and HU are fixed. This is why every Mucho+MOTA archetype lives on a 2D plane.

SALSA is the simulator; MUCHO is the atlas of population priors that places a player on the (CF, HU) plane; MOTA is the action-pricing decision layer that converts the simulated distribution into a Kelly-optimal sale percentage. See the SALSA wiki lesson.

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