Following links for your try

https://www.beanactuary.org/library/astin/vol14no1/61.pdf

https://www.google.com.pk/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&cad=rja&uact=8&ved=0ahUKEwi2i6DgnpvLAhWJCI4KHY_-B20QFggqMAM&url=http%3A%2F%2Feclass.uth.gr%2Feclass%2Fmodules%2Fdocument%2Ffile.php%2FMHX230%2FPROJECT%2520MATERIAL%2FP5%2520-%2520COST%2520ALLOCATION%2F34%2520%255BYoung%255D%2520Cost%2520allocation.pdf&usg=AFQjCNFBN-0tn_HhUeVjq3zKMtZUzcF-Vw

https://www.google.com.pk/url?sa=t&rct=j&q=&esrc=s&source=web&cd=5&cad=rja&uact=8&ved=0ahUKEwi2i6DgnpvLAhWJCI4KHY_-B20QFggvMAQ&url=http%3A%2F%2Fwww.stmarys.ac.uk%2Fcbet%2Fdocs%2FHealthcare-Allocation-Consultation.pdf&usg=AFQjCNF2mqKtSQzECKlJOoXAZp0925IGVQ

Thank you for all your suggestions

Aren't these properties that uniquely characterize the Shapley value?

But another allocation rules may also has some of this property. For example Nucleolus has efficiency propertiy.

And now the question is what properties has Gately point?

Late answer... The Gately point  associates to each player a payoff proportional to his marginal contribution to the grand coalition. The proportional coefficient is uniform and is computed so as to satisfy efficiency. It is therefore also symmetric. It obviously satisfies the null player property but it does not satisfy the dummy player property and is definitely not additive. Another problem is that it does not satisfy individual rationality. Concerning monotonicity, there are several definitions and I guess that the Gately point satisfies none of them. The equal surplus rule has better properties: it is individually rational, symmetric, additive and satisfies aggregate monotonicity.  It obviously fails dummy or null player.