Two cooks fight over the last orange and 'fairly' split it down the middle — only to find one needed the juice and threw away the peel, the other needed the peel and threw away the juice. Both could have had 100%.
The principle: Fight over positions and you split the difference and both lose; uncover the interests underneath and the conflict often dissolves. Ask 'why do you want it?' before 'how do we divide it?'