shaply值法利润分配的MATLAB代码

以下是一个使用 Shaply 值进行利润分配的 MATLAB 示例代码：

function [contrib, ShapleyValue] = Shapley(v, f)
% Calculation of the Shapley value based on the game theory concept.
% v: the characteristic function of a coalition, in this case a profit matrix
% f: the vector of players
% contrib: the contribution of each player to the profit
% KapleyValue: the profit allocated to each player

[m, n] = size(v);

% Step 1: Create the power set
powerset = dec2bin(0:(2^n)-1)-'0';

% Step 2: Calculate the contribution of each player
contrib = zeros(1, n);
for i = 1:n
    for j = 1:size(powerset, 1)
        coalition = powerset(j, :);
        if coalition(i) == 1
            coalition(i) = 0;
            contrib(i) = contrib(i) + (v(j) - v(sum(2.^(find(coalition)-1))+1));
        end
    end
end

% Step 3: Calculate the Kapley value
KapleyValue = contrib / factorial(n);
end

该代码实现了 Shaply 值的计算，首先通过生成幂集来确定每一种可能的组合，然后遍历每一种组合，计算每一个玩家对该组合的贡献。最后，把每个玩家的贡献除以 n 的阶乘，即可得到每个玩家的利润分配情况。