MATLAB: Combining two separate arrays into singular payoff matrix

arraycombiningMATLAB

Hi everyone,

I have two separate arrays that I am hoping to combine into a singular payoff matrix. Does anyone have any tips for doing so?

Right now, I have two 2×2 arrays that look like:

A = [4 2,

2 0]

B = [4 2,

4 2]

Instead of having them be separate, I want to combine them into a singular 2×2 payoff matrix P with the end result looking like:

P = [(4,4) (2,2),

(2,4) (0,2)]

I want to avoid manually typing in cell values and am looking for some way to achieve the end result by combining the existing A and B arrays. I would appreciate any help. Thank you!

Best Answer

 P = reshape(num2cell([A(:), B(:)], 2), [], size(A, 2));
 celldisp(P)

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MATLAB: Generate matrices of the form [a b c d]

Of course you could just do a trivial, brute force way of 4 nested "for" loops, which I'm sure you can do. (If not, let us know.) But I'm thinking that you're wanting some more clever method, right? Or not right, and the trivial way is fine?

Oh well, here's the trivial way, just to save time:

for a = 2:4
  for b = 1:2
    for c = 3:4
      for d = 2:4
        out = [a,b,c,d]
      end
    end
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MATLAB: Linear combination of cell arrays

Either of these will work:

>> A = {rand(2, 2), ones(1, 2)}
>> B = {rand(2, 2), [3, 4]}
>> cellfun(@(a,b) 3*a + 4*b, A, B, 'UniformOutput',false)
ans = 
    [2x2 double]    [1x2 double]
>> arrayfun(@(a,b) {3*a{:} + 4*b{:}}, A, B)
ans = 
    [2x2 double]    [1x2 double]

Whether or not this is faster or more readable than a loop is another question. Hope this helps.

Best Answer

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MATLAB: Generate matrices of the form [a b c d]

MATLAB: Linear combination of cell arrays

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