There is a variant similar to this that I've read about somewhere. It works something like this:
Everyone enters normal orders for their units. However, everyone may also enter 1 or 2 (forget which one) orders for OTHER peoples units.
For example:
England orders London - EC. France orders Brest - EC. However, France also orders London - Yorkshire. In this case, France's order overrules Englands order, and France gains EC while London moves to Yorkshire.
Basically, majority rules on these "over-riding" orders. So if 2 people order London - Yorkshire, and one orders London - Wales, London - Yorkshire is what happens. HOWEVER, if 1 person orders London - Wales, and 1 orders London - Yorkshire, they cancel, and the ORIGINAL order given by England is what is processed.
Makes for some interesting diplomacy, as these "over-ruling" orders are NOT published, only the final order is (I believe). That opens the door to people stabbing and claiming they got "over-ruled", leading to some VERY interesting negotiations.