ment ▁officers ▁were ▁incl ined ▁to ▁believe ", ▁a ri ki ▁have ▁never ▁been ▁" the ▁a pe x ▁of ▁a ▁struct ured ▁hierarchy ▁of ▁institution al ised ▁trib al ▁authority ". ▁Many ▁positions ▁overlap ▁with ▁a ri ki ▁holding ▁multiple ▁roles , ▁including ▁" head ▁of ▁an ▁i wi , ▁the ▁rang ati ra ▁of ▁a ▁ha pu ▁and ▁the ▁ka um at ua ▁of ▁a ▁wh an au ". ▁Similarly , ▁in ▁times ▁past , ▁" a ▁to hung a ▁may ▁have ▁also ▁been ▁the ▁head ▁of ▁a ▁wh an au ▁but ▁quite ▁often ▁was ▁also ▁a ▁rang ati ra ▁and ▁an ▁a ri ki ". ▁ ▁The ▁M ā ori ▁King ▁Mov ement ▁is ▁head ed ▁by ▁the ▁M ā ori ▁King ▁or ▁Queen , ▁who ▁be ars ▁the ▁title ▁Te ▁A rik in ui , ▁literally ▁" The ▁big ▁( leading ) ▁Ari ki ". ▁ ▁Cook ▁Islands ▁ ▁Each ▁island ▁in ▁the ▁Cook ▁Islands ▁was ▁ruled ▁by ▁a ▁number ▁of ▁a ri ki ▁( high ▁chief s ). ▁R ar ot ong a ▁had ▁about ▁five ▁or ▁six , ▁and ▁most ▁of ▁the ▁other ▁islands ▁had ▁about ▁three . ▁Each ▁a ri ki ▁ruled ▁an ▁ ivi ▁or ▁ng ati ▁( tri be ). ▁B ene ath ▁each ▁a ri ki ▁in ▁the ▁social ▁hierarchy ▁were ▁a ▁number ▁of ▁m ata ia po ▁and ▁rang ati ra ▁( min or ▁chief s ) ▁of ▁noble ▁rank . ▁ ▁A ▁chief ' s ▁control ▁over ▁his ▁people ▁was ▁related