Changing owner on a deal you can use workflow to set the deal owner to also own the associated organisation and become owner of the one person associated with the deal. (See below)
But not the other way around, using changing the owner of an organisation to also own for example all open deals and all contacts associated with that organisation.
The missing piece here is that workflow can only work with "One" related item to change. A deal only has one organisation associate. An organisation can have many deals and also many contacts associated.
Would be nice if workflow... (More)