Permissions
You can specify whether other users or user groups are allowed to change the Kanban view, modify settings, or create, edit, and delete tasks.

In “Users list with permission to edit board settings”, list the users who may change the board settings. In “Users or (and) groups list with permission to view this board”, list the users and groups who may see the board. An empty list means no restriction; site collection administrators always have access, and users who may edit the settings may also view the board.
It is also possible to configure access to task management. Check the box “User can manage only own tasks” to restrict users from editing tasks they are not assigned to. This will limit task management to tasks assigned to them. Additionally, you can create a list of users with permission to manage all tasks.
By default, the card creator or assignee is considered the card owner and is allowed to edit the card.