meaning of arbitrary
1. Depending on will or discretion; not governed by any fixed rules; as, an arbitrary decision; an arbitrary punishment.
2. Exercised according to ones own will or caprice, and therefore conveying a notion of a tendency to abuse the possession of power.
3. Despotic; absolute in power; bound by no law; harsh and unforbearing; tyrannical; as, an arbitrary prince or government.
4. based on or subject to individual discretion or preference or sometimes impulse or caprice; "an arbitrary decision"; "the arbitrary rule of a dictator"; "an arbitrary penalty"; "of arbitrary size and shape"; "an arbitrary choice"; "arbitrary division of the group into
">halves"