This version of Unity is unsupported.
Method group is Obsolete

NetworkIdentity.localPlayerAuthority

Obsolete The high level API classes are deprecated and will be removed in the future. public bool localPlayerAuthority;

Description

localPlayerAuthority means that the client of the "owning" player has authority over their own player object.

Authority for this object will be on the player's client. So hasAuthority will be true on that client - and false on the server and on other clients.