Dominance Matrices (VCE SSCE General Mathematics): Flashcards

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Dominance Matrices
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One-step dominance

When one person directly beats or influences another

Round-robin tournament

Each participant plays every other participant exactly once

Rows in dominance matrix DD represent

Players doing the defeating

Columns in dominance matrix DD represent

Players being defeated

How to calculate dominance score

Sum all entries in that player's row

Two-step dominance

Player beats another who has beaten someone else (indirect)

How to find two-step dominance matrix

Square the one-step dominance matrix (D2D^2)

Formula for total dominance matrix

T=D+D2T = D + D^2

How to find total dominance score

Sum of row entries in matrix TT

Most dominant/influential person

Person with highest total dominance score

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