拉格朗日乘数与影子价格

nxxx,,,21),,,(21nxxxfu=aaxxxn=),,,(21ϕ)],,,([),,,(),,,,(212121nnnxxxaxxxfxxxFϕλλ−+=aaa),,,(21nxxxfu=),(yxfu=xyayx=),(ϕa)],([),(),,(yxayxfyxFϕλλ−+=1⎪⎩⎪⎨⎧=−=′=′−′=′=′−′=′0),(0),(),(0),(),(yxaFyxyxfFyxyxfFyyyxxxϕϕλϕλλ2)(),(),(000000aayyaxxλλ===a⎪⎩⎪⎨⎧=′=′′=′ayxyxyxfyxyxfyyxx),(),(),(),(),(000000000000ϕϕλϕλ3),(000yxfu=aa0u0uadadyyxdadxyxdadyyxfdadxyxfdaduyxyx000000000000000),(),(),(),(ϕλϕλ′+′=′+′=]),(),([0000000dadyyxdadxyxyxϕϕλ′+′=4ayx=),(00ϕa1),(),(000000=′+′dadyyxdadxyxyxϕϕ400λ=dadu50λa1a0λ0λ0λpPPP2