## 1.7 Matrix Applications: Dominance Matrices

### Dominance Matrices

- A
**dominance matrix**is a**binary matrix**which has individuals listed along the rows and columns. A 1 element indicates the individual corresponding to the row is “dominant to” or “beat” the individual corresponding to the column. A 0 element indicates this is not the case. - This type of matrix is useful when modelling systems such as round robin competitions, where multiple people play against each other in rounds, with each round producing a winner.
- This type of matrix is also known as a
**one-step dominance matrix**.