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shouyi.m
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function [P0]=shouyi(G,P0,L,r,a)
%将网络中参与者分为四类，四角，四边和内部
%先判断孤立个体和非孤立个体，再用计算规则计算初始收益矩阵P0
%左上角
if G(1,1)==1%合作者
if G(1,2)==-1&&G(2,1)==-1 %孤立合作者
P0(1,1)=a-1; %a为较低收益，相当于σ，1<=a<=r
elseif G(1,2)+G(2,1)==-1 %非孤立合作者
P0(1,1)=r*1/2-1;
elseif G(1,2)+G(2,1)==0
if G(1,2)==-1||G(2,1)==-1
P0(1,1)=r-1;
else
P0(1,1)=(r*1/3)-1;
end
elseif G(1,2)+G(2,1)==1
P0(1,1)=(r*2/3)-1;
elseif G(1,2)+G(2,1)==2
P0(1,1)=r-1;
end
elseif G(1,1)==0%背叛者
if G(1,2)==-1&&G(2,1)==-1%孤立背叛者
P0(1,1)=0;
elseif G(1,2)+G(2,1)==-1 %非孤立背叛者
P0(1,1)=0;
elseif G(1,2)+G(2,1)==0
if G(1,2)==-1||G(2,1)==-1
P0(1,1)=r*1/2;
else
P0(1,1)=0;
end
elseif G(1,2)+G(2,1)==1
P0(1,1)=(r*1/3);
elseif G(1,2)+G(2,1)==2
P0(1,1)=r*2/3;
end
end
%右上角
if G(1,L)==1%合作者
if G(1,L-1)==-1&&G(2,L)==-1
P0(1,L)=a-1;
elseif G(1,L-1)+G(2,L)==-1
P0(1,L)=r*1/2-1;
elseif G(1,L-1)+G(2,L)==0
if G(1,L-1)==-1||G(2,L)==-1
P0(1,L)=r-1;
else
P0(1,L)=(r*1/3)-1;
end
elseif G(1,L-1)+G(2,L)==1
P0(1,L)=(r*2/3)-1;
elseif G(1,L-1)+G(2,L)==2
P0(1,L)=r-1;
end
elseif G(1,L)==0%背叛者
if G(1,L-1)==-1&&G(2,L)==-1
P0(1,L)=0;
elseif G(1,L-1)+G(2,L)==-1
P0(1,L)=0;
elseif G(1,L-1)+G(2,L)==0
if G(1,L-1)==-1||G(2,L)==-1
P0(1,L)=r*1/2;
else
P0(1,L)=0;
end
elseif G(1,L-1)+G(2,L)==1
P0(1,L)=(r*1/3);
elseif G(1,L-1)+G(2,L)==2
P0(1,L)=r*2/3;
end
end
%左下角
if G(L,1)==1%º合作者Ï×÷Õß
if G(L,2)==-1&&G(L-1,1)==-1
P0(L,1)=a-1;
elseif G(L,2)+G(L-1,1)==-1
P0(L,1)=r*1/2-1;
elseif G(L,2)+G(L-1,1)==0
if G(L,2)==-1||G(L-1,1)==-1
P0(L,1)=r-1;
else
P0(L,1)=(r*1/3)-1;
end
elseif G(L,2)+G(L-1,1)==1
P0(L,1)=(r*2/3)-1;
elseif G(L,2)+G(L-1,1)==2
P0(L,1)=r-1;
end
elseif G(L,1)==0背叛者
if G(L,2)==-1&&G(L-1,1)==-1
P0(L,1)=0;
elseif G(L,2)+G(L-1,1)==-1
P0(L,1)=0;
elseif G(L,2)+G(L-1,1)==0
if G(L,2)==-1||G(L-1,1)==-1
P0(L,1)=r*1/2;
else
P0(L,1)=0;
end
elseif G(L,2)+G(L-1,1)==1
P0(L,1)=(r*1/3);
elseif G(L,2)+G(L-1,1)==2
P0(L,1)=r*2/3;
end
end
%右下角
if G(L,L)==1%合作者
if G(L,L-1)==-1&&G(L-1,L)==-1
P0(L,L)=a-1;
elseif G(L,L-1)+G(L-1,L)==-1
P0(L,L)=r*1/2-1;
elseif G(L,L-1)+G(L-1,L)==0
if G(L,L-1)==-1||G(L-1,L)==-1
P0(L,L)=r-1;
else
P0(L,L)=(r*1/3)-1;
end
elseif G(L,L-1)+G(L-1,L)==1
P0(L,L)=(r*2/3)-1;
elseif G(L,L-1)+G(L-1,L)==2
P0(L,L)=r-1;
end
elseif G(L,L)==0背叛者
if G(L,L-1)==-1&&G(L-1,L)==-1
P0(L,L)=0;
elseif G(L,L-1)+G(L-1,L)==-1
P0(L,L)=0;
elseif G(L,L-1)+G(L-1,L)==0
if G(L,L-1)==-1||G(L-1,L)==-1
P0(L,L)=r*1/2;
else
P0(L,L)=0;
end
elseif G(L,L-1)+G(L-1,L)==1
P0(L,L)=(r*1/3);
elseif G(L,L-1)+G(L-1,L)==2
P0(L,L)=r*2/3;
end
end
%左边初始收益值
[P0]=bianshouyi(G,P0,L,r,a);
%上边初始收益
G1=rot90(G);
P1=rot90(P0);
[P1]=bianshouyi(G1,P1,L,r,a);
%右边初始收益
G2=rot90(G1);
P2=rot90(P1);
[P2]=bianshouyi(G2,P2,L,r,a);
%下边初始收益
G3=rot90(G2);
P3=rot90(P2);
[P3]=bianshouyi(G3,P3,L,r,a);
P0=rot90(P3);
%方格内部收益
for i=2:L-1
for j=2:L-1
if G(i,j)==1%合作
if G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==-4
P0(i,j)=a-1;
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==-3
P0(i,j)=1/2*r-1;
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==-2
if G(i,j-1)==0||G(i-1,j)==0||G(i,j+1)==0||G(i+1,j)==0
P0(i,j)=1/3*r-1;
elseif G(i,j-1)==1||G(i-1,j)==1||G(i,j+1)==1||G(i+1,j)==1
P0(i,j)=r-1;
end
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==-1
if G(i,j-1)~=1&&G(i-1,j)~=1&&G(i,j+1)~=1&&G(i+1,j)~=1
P0(i,j)=1/4*r-1;
else P0(i,j)=2/3*r-1;
end
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==0
if G(i,j-1)~=0&&G(i-1,j)~=0&&G(i,j+1)~=0&&G(i+1,j)~=0
P0(i,j)=r-1;
elseif G(i,j-1)==0&&G(i-1,j)==0&&G(i,j+1)==0&&G(i+1,j)==0
P0(i,j)=1/5*r-1;
else P0(i,j)=2/4*r-1;
end
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==1
if G(i,j-1)~=-1&&G(i-1,j)~=-1&&G(i,j+1)~=-1&&G(i+1,j)~=-1
P0(i,j)=2/5*r-1;
else P0(i,j)=3/4*r-1;
end
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==2
if G(i,j-1)~=-1&&G(i-1,j)~=-1&&G(i,j+1)~=-1&&G(i+1,j)~=-1
P0(i,j)=3/5*r-1;
else P0(i,j)=r-1;
end
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==3
P0(i,j)=4/5*r-1;
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==4
P0(i,j)=r-1;
end
elseif G(i,j)==0%背叛
if G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==-4
P0(i,j)=0;
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==-3
P0(i,j)=0;
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==-2
if G(i,j-1)==0||G(i-1,j)==0||G(i,j+1)==0||G(i+1,j)==0
P0(i,j)=0;
elseif G(i,j-1)==1||G(i-1,j)==1||G(i,j+1)==1||G(i+1,j)==1
P0(i,j)=1/2*r;
end
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==-1
if G(i,j-1)~=1&&G(i-1,j)~=1&&G(i,j+1)~=1&&G(i+1,j)~=1
P0(i,j)=0;
else P0(i,j)=1/3*r;
end
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==0
if G(i,j-1)~=0&&G(i-1,j)~=0&&G(i,j+1)~=0&&G(i+1,j)~=0
P0(i,j)=2/3*r;
elseif G(i,j-1)==0&&G(i-1,j)==0&&G(i,j+1)==0&&G(i+1,j)==0
P0(i,j)=0;
else P0(i,j)=1/4*r;
end
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==1
if G(i,j-1)~=-1&&G(i-1,j)~=-1&&G(i,j+1)~=-1&&G(i+1,j)~=-1
P0(i,j)=1/5*r;
else P0(i,j)=2/4*r;
end
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==2
if G(i,j-1)~=-1&&G(i-1,j)~=-1&&G(i,j+1)~=-1&&G(i+1,j)~=-1
P0(i,j)=2/5*r;
else P0(i,j)=3/4*r;
end
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==3
P0(i,j)=3/5*r;
elseif G(i,j-1)+G(i-1,j)+G(i,j+1)+G(i+1,j)==4
P0(i,j)=4/5*r;
end
end
end
end