A method (100, 200, 300, 400, 600) for sharing values among nodes (processors) (900, 1004, 1006, 1008, 1010) in a network (1000) that includes mobile nodes that is resistant to corruption by faulty nodes. Movement of nodes triggers special messages forwarding processor values to and from nodes that have moved. Movement also triggers initialization of a round counter associated with each message forwarding the processor values in each node that handles the special messages that are triggered in response to movement. The round counter provides additional time for values to be distributed to nodes in the network.