GAMESADVANCED
Shapley Value & Power
Credit each player by their average marginal contribution across every order of joining.
How it works
- Imagine players joining a coalition in every possible order.
- Record what each adds at the moment they join; average over all orders.
- It is the unique split that is efficient, symmetric, and additive.
Use → Splitting revenue, attributing features (SHAP), measuring voting power.
Watch out → Marginal value depends on who else exists — add a clone and both shares shrink.
Try it → Split a three-person project bonus by Shapley instead of by hours logged.
REDCAPE jobs → Reason · Design · Communicate
Free sources → Wikipedia: Shapley value (CC BY-SA) • SFI Game Theory II
Attach to a lattice — combines with
Different families, shared jobs. Disagreement between them is where insight lives.
LINEAR & NONLINEAR
Categorical & Threshold Models
Buckets and cutoffs turn messy attributes into testable if-then rules.
SHARED JOBS: REASON · COMMUNICATE
DISTRIBUTIONSCentral Limit & Six Sigma
Sample averages settle to normal; variation reduction pays until returns diminish.
SHARED JOBS: REASON · COMMUNICATE
DECISIONSDecision Trees + Value of Information
Fold back probabilities; pay for information only if it changes the action.
SHARED JOBS: DESIGN · COMMUNICATE
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Pure coordination games plus memory harden into culture as equilibrium.
Colonel Blotto
Split forces across fronts with no pure best move — win by being unpredictable.