I need help on how to compute allocation using nucleolus using matlab.
v(1)=7
v(2)=10.5
v(3)= 13
v(1,2)= 28
v(1,3)=28
v(2,3)=28
v(1,2,3)=40.5
It might be that my answer comes too late, but a procedure for computing the nucleolus for three person games can be found at
https://math.stackexchange.com/questions/1108449/finding-the-nucleolus/1109149#1109149
The theoretical details of this approach have been discussed in the book
http://www.springer.com/gp/book/9783642395482
A Matlab toolbox for doing computation and checking properties of TU games can be found here
http://mathworks.com/matlabcentral/fileexchange/35933-mattugames
Using this toolbox one can find the nucleolus by
>> nc_v=nucl(v)
nc_v =
13.5000 13.5000 13.5000
>> B0_balancedCollectionQ(v,nc_v)
ans =
1
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