上海财经大学经济学院《高级微观经济学》题库6

1/31.123123(,,)min{,}fxxxxxx=+23xx=23,xx1x1x123,,(,,)min(,)qfxxxxxxx====23()()cqwwq=+123(,,)qfxxxx==1()cqwq=123=[phone](,,)min(,),,0,,qfxxxxxxxxxxqxxq==+=≤≤+=123()()cqwqwwq==+2.12()fzzz=+12()min{,}fzzz=1/12()()fzzzρρρ=+1ρ≤21122212/4,()/4,pπ⎧≤=⎨⎩22111221211212112222212{(/4,0,/2)},(){(,,/2):0,0,1/4},;{(0,/4,1/2)},pwp⎧−⎪=−−≥≥+==⎨⎪−⎩2122222121212()/4().()(/4(),/4(),/2()wpwwywpwwpwwpwwπ=+=−+−++1ρ/(1)/(1)(1)/12/(1)/(1)(1)/12[]()0[]ifwwpwifwwpρρρρρρρρρρρρπ−−−−−−⎧∞+=⎨+≥⎩2/3/(1)/(1)(1)/12/(1)/(1)/(1)/(1)1/1212/(1)/(1)(1)/12/(1)/(1)(1)/12,[]{(,,()):0}(),[]{0},[]wwpρρρρρρρρρρρρρρρρρρρρρρρρρρρφαα−−−−−−−−−−−−−⎧+⎪−−+≥⎪=⎨+=⎪⎪+⎩1ρ=12120{,}(){,}ifMinwwpwifMinwwpπ≥⎧=⎨∞⎩1212121212121212{0},{,},{,}(){(1,0,1):0},{(0,1,1):0},{(,,1):0,0,0,1},MinwwpMinwwpywpφαααααα≥⎧⎪⎪⎪=−≥=⎨⎪−≥=⎪−−≥≥≥+===⎪⎩3.xGABF(x,G)=0uA(xA,G)uB(xB,G)xA+xB=x1uA(xA,G)uB(xB,G)SmuelsonMRSAGXMRSBGXMRTGX2ParetoBu0AaAbA{((x,G):(x,G))}A((xA,G)ABcASmuelson1max(,)(,)ABABuxGuxG+(,)0ABFxxG+=(,)(,)0AxAxuxGFxGλ+=(,)(,)0BxBxuxGFxGλ+=(,)(,)(,)0ABGAGBGuxGuxGFxGλ++=(,)(,)ABxAxBuxGuxG=(,)(,)(,)(,)(,)(,)ABGAGBGABxAxBxuxGuxGFxGuxGuxGFxG+=−MRSAGXMRSAGXMRTGX2max(,)AAuxG0(,)BBuxGu=(,)0ABFxxG+=xA+xB=x3(,)(,)AxAxuxGFxGφ=(,)(,)BxBxuxGFxGλφ=3/3(,)(,)(,)0ABGAGBGuxGuxGFxGλφ++=(,)(,)(,)(,)(,)(,)ABGAGBGABxAxBxuxGuxGFxGuxGuxGFxG+=−MRSAGXMRSAGXMRTGX