2004쓪4퓂뗚18뻭뗚2웚ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ뮪ꆡ뚫ꆡ뺭ꆡ볃ꆡ맜ꆡ샭EastChinaEconomicManagemꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡApr.,,쫕죫킧폃닮틬뗄탄샭뚯틲벰웤쫽톧럖컶컢틥룕,믆횾뇳(뫏럊릤튵듳톧ꆡ죋컄뺭볃톧풺,낲믕ꆡ뫏럊ꆡ230009)[햪튪]놾컄뻍쫕죫킧폃듦퓚뗄닮틬,럖컶웤탎돉뗄탄샭뚯틲,늢붨솢쿠펦뗄쫽톧쒣탍룸폨뷢쫍ꆣ[맘볼듊]킧폃풾잨;탄샭탨쟳닣듎;쿻럑춬훊탔탄샭맟탔[훐춼럖샠뫅]F069ꆡꆡꆡ[컄쿗뇪쪶싫]Aꆡꆡꆡ[컄헂뇠뫅]1007ꆪ5097(2004)02ꆪ0130ꆪ03ThepsychologicalmotionsofincomeutilitydifferenceanditsmathematicexplainationWUYi2Gang,HUANGZhi2bin(SchoolofHumanitiesandEconomics,HefeiUniversityofTechnology,Hefei230009,China)Abstract::utilityleap;psychologicaldemandlevel;consumehomogeneity;psychologicalinertiaꆡꆡ뇟볊훷틥샭싛뗄쿈쟽횮튻뫠샻쾣ꆤ룪즭(Gossen,.뗄,킧폃뻍쫇뿉틔뫍튻훖탨튪붨솢틲맻맘쾵뗄튻훖뚫컷뗄쓜1810ꆪ1858)퓚ꆶ죋샠붻뮻램퓲뗄랢햹벰평듋뛸닺짺뗄죋샠솦ꆣ헢뻍냑킧폃헢튻룅쓮폫죋뗄폻췻솪쾵퓚튻웰,듓훷뿍쳥탐캪뗄맦싉ꆷ훐쳡돶ꆰ떱컒쏇늻뛏뗘뷸탐튻훖쿭쫜쪱,춬튻맘쾵뷇뛈살쮵킧폃쫇컯뗄쓜솦뗄튻훖훷맛탄샭움볛ꆣ쿭쫜뗄솿뇣늻뛏붵뗍,횱떽싺ퟣ캪횹ꆣꆱ,헢튻싛뗣뫳살놻돆캪룪즭뗚튻싉,튲뻍쫇컒쏇뷱쳬쯹쫬횪뗄뇟볊킧폃뗝복맦싉ꆣ춬퇹,죋쏇퓚믱뗃믵뇒쫕죫쪱튲믡닺짺킧폃,룹뻝룪즭뗚튻뚨싉웤뇟볊킧폃샭펦쫇뗝복뗄,늢폐튻룶짏춹뗄쫕죫(횸믵뇒쫕죫)킧폃쟺쿟ꆣ떫쟩뿶늢럇췪좫죧듋,퓚럧쿕춶컊쳢훐,럧쿕맦뇜헟쫕죫뇟볊킧폃뗝복,쫕죫킧폃쟺쿟짏춹,죧춼1;뛸폐럧쿕욫뫃뗄쿻럑헟뗄쫕죫뇟볊킧폃뗝퓶,킧폃쟺쿟쿂춹죧춼2ꆣ쿔좻늻춬쿻럑헟믵뇒쫕죫킧폃뇤뮯뗄맦싉늻춬,쓇쎴춼2ꆡ럧쿕욫뫃헟쫕죫킧폃,펰쿬쿻럑헟쫕죫킧폃뗄틲쯘쫇쪲쎴?캪쪲쎴늻춬쿻럑헟쫕죫뇟볊쏅룱뛻냑폐쓜솦싺ퟣ죋뗄폻췻뗄컯럖캪죴룉룶뗈벶,뗚킧폃뇤뮯맦싉듦퓚닮틬?퓚듋컒쏇늻럁듓킧폃몯쫽뗄쳘뗣뾪튻벶뗄컯솢벴뿉싺ퟣ탨튪,뫳헟횻쫇볤뷓뗘싺ퟣ탨튪,믲쪼첽쳖ꆣ헟쮵캪짺닺뗚튻벶뗄컯럾컱뗄ꆣ쫂쪵짏,쏅룱뛻뗄맛뗣쫇쿁낯뗄,벴죋뗄폻췻뻖쿞폚짺샭탨튪,컯뗄탎쪽뻖쿞폚컯훊쪵쳥ꆣ죧맻컒쏇쓜듓튻룶룼맣틥뗄랶캧짏살뾴,죋뗄폻췻쫇좫랽캻뛠닣듎뗄,룸죋듸살싺ퟣ늢닺짺킧폃뗄뚫컷튲쫇뛠훖뛠퇹뗄,볈폐컯훊짏쪵쳥뗄튲폐뺫짱짏뗄듦퓚,뇈죧짧믡짺믮룸폨죋뗄낲좫놣헏뫍짧믡ퟰ훘뗈,쿔좻,죋쏇쓜듓훐믱뗃낲좫룐ꆢ죙폾룐늢닺짺킧폃ꆣ틲듋,컒쏇뿉틔뚨틥튻룶룼맣랺틢틥짏뗄킧폃몯쫽u=u(s,rꆭꆭ)(s뇭쪾낲좫놣헏,r뇭쪾짧믡ퟰ훘)ꆣ춼1ꆡ럧쿕맦뇜헟쫕죫킧폃뻟쳥떽믵뇒쫕죫킧폃,컒쏇폐뇘튪쳡벰믵뇒뗄쳘쫢탔,튻ꆢ쫕죫킧폃몯쫽벰웤볤뷓탔ꆢ늻솬탸탔십뿋쮼훷틥뺭볃톧죏캪,믵뇒쫇듓볲떥볛횵탎쪽뾪쪼훰붥퇝뒫춳뺭볃샭싛쫇퓚퇐뺿쿻럑헟룶쳥탐캪뗄믹뒡짏쳡돶킧뇤캪돤떱튻냣뗈볛컯뗄짌욷,늢틔ퟔ벺뗄쪹폃볛횵살솿뛈웤폃룅쓮뗄,늢냑킧폃뚨틥캪쿻럑헟퓚쿻럑짌욷쪱쯹룐뻵떽뗄쯼짌욷뗄볛횵ꆣ떫믵뇒뗄횰쓜뫍쫴탔쫇퓚늻뛏퇝뷸뗄,쯦ퟅ싺틢돌뛈ꆣ쪮뻅쫀볊냂뗘샻톧엉뗄뗬믹죋횮튻톧헟쏅룱뛻횽뇒뗄랢탐뫍맣캪쇷춨,믵뇒놾짭뇘탫쫇볛횵쪵쳥뗄쫴탔떭(CarlMenger,1840ꆪ1921쓪)퓚ꆶ맺쏱뺭볃톧풭샭ꆷ훐죏뮯,듓뛸돩쿳캪튻훖볛횵럻뫅ꆣ훁듋,믵뇒틑늻퓙폐컯뗄쫴캪,뺭볃믮뚯쫇듓죋샠뗄탨튪뫍싺ퟣ헢킩탨튪뗄랽램뾪쪼탔,뛸쫇틔컯캪퓘쳥뗄튻훖짧믡웵풼탎쪽,평듋컒쏇폐샭평[쫕룥죕웚]ꆡ2004ꆪ03ꆪ09[ퟷ헟볲뷩]ꆡ컢틥룕(1970ꆪ),쓐,쮶쪿퇐뺿짺;믆횾뇳(1958ꆪ),쓐,뷌쫚,늩쪿,풺뎤ꆣꆪ130ꆪ' 1994-2006 China Academic Journal Electronic Publishing House. All rights reserved.
죏캪믵뇒횮쯹틔룸죋쏇듸살킧폃,쫇퓚폚웤펵폐헟틲믵뇒펵듋,죧맻쒳죋믵뇒쫕죫쫽솿짙폚2000풪,퓲웤횻쓜릺싲틂폐뛸떼훂뗄뛔짧믡닆뢻햼폐ꆢ횧엤뗄튻훖좨쓜,늢뷨틔듋쪵럾샠닺욷웤킧폃쾵쫽캪014,뛸죧맻쒳죋뗄믵뇒쫕죫쫽솿듳쿖죋뗄쒳훖풸췻;짧믡웵풼룸믵뇒헢훖좨쓜틔컯훊돐뛒놣폚2000풪,퓲웤킧폃쾵쫽뻍뿉틔캪015ꆣ벴퓚2000풪뢽뷼헏,믵뇒쫕죫킧폃뻍쫇춨맽헢훖잱퓚컯훊횧뢶뿉쓜듸룸죋뗄쪵쿖쇋믵뇒쫕죫킧폃뗄벤퓶,컒쏇돆캪킧폃풾잨(헢훖풾잨킧폃살뇭쪾뗄ꆣ떱좻,ퟷ캪웕춨쿻럑헟살쮵뇭쿖캪믵뇒뗄릺췹췹랴펳죋쏇뛔뷏룟믵뇒쫕죫믲룟쮮욽짺믮랽쪽뗄쿲췹뫍폻싲쓜솦,튻뚨쫕죫쮮욽뗄쿻럑헟폐쓜솦횧뢶튻뚨쫽솿뗄믵뇒췻뗄잿쇒돌뛈),볇ꇷu=u++2000-u-2000,쇭볇ꇷK=K2000릺싲웤쯹탨닺욷,늢춨맽닺욷쿻럑믱뗃쿠펦킧폃,듓헢룶틢-K-2000돆캪킧폃쾵쫽풾잨(폫뫳컄훐K2(x)뗄틢틥쿠춬틥짏,쫕죫킧폃쫇볤뷓뗄ꆣ)ꆣ틔짧믡ퟰ훘캪샽,웤짦벰룶죋뗄훇믛ꆢ횪쪶ꆢ뗘캻ꆢ쫕뾼싇떽떱쫕죫퓚춬튻믵뇒쫽솿쟸볤쓚(죧ꆲ0,2000))죫뗈,쿠펦뗘폐r=r(x,x1,x2ꆭꆭ)(웤훐x훐뇭쪾믵뇒쪱,평폚쿻럑춬훊탔,벴늻뛏훘뢴쿻럑쿠춬뗄믲춬샠닺욷,쫕죫솿,x1,x2뇭쪾훇믛뗈웤쯼뇤솿)ꆣ컰죝훃틉,믵뇒쫕쿻럑헟뇟볊킧폃믡뗝뗍(쫂쪵짏헢튻뗣헽쫇룪즭뗚튻뚨싉쯹죫쫇뗃떽짧믡ퟰ훘튻룶훘튪틲쯘,퓚웤쯼쳵볾볈뚨쿂벴x1,튪쳖싛뗄쓚죝,놾컄늻ퟷ캪훘뗣,늻퓙볓틔싛쫶)ꆣ컒쏇뻍x2,ꆭꆭ캪뎣솿쪱,폐튻풪몯쫽r=r(x)ꆣ춬퇹뿉뻍낲좫놣뿉틔뗃떽죧춼3ꆢ춼4쫕죫킧폃쾵쫽쟺쿟뫍쫕죫킧폃쟺쿟,헏뗃몯쫽s=s(x)ꆣ춼훐컒쏇틔2000풪붫쿻럑(믵뇒쫽솿)럖캪솽떵듎,웤훐틲듋,쫕죫킧폃몯쫽뿉뇭쪾캪:u=u\[s(x),r(x)ꇷu=u2-u1뇭쪾튻훖쮮욽쿲쇭튻쮮욽쿻럑탎쪽(믲믵뇒쫕ꆭ]=u(x)ꆣ죫쫽솿)뇤잨쪱,랢짺뗄킧폃풾잨ꆣ쿠펦뗄ꇷk=k2-k1캪퓙헟,죋뗄풸췻뗄쪵쿖짦벰랽랽쏦쏦,튻룶뫜훘튪뗄틲킧폃쾵쫽풾잨ꆣ쯘쫇짧믡쳡릩룸쯻뗄컯훊믹뒡ꆣ뛸짧믡쳡릩룸쯻뗄컯훊믹뒡쫇폐쳵볾뗄,쫕죫킧폃훷튪쫇춨맽믵뇒좨쓜쪵쿖뷸뛸짧믡쳡릩룸죋싺ퟣ뗄쒳훖풸췻쯹뇘튪뗄컯훊믹뒡헢튻맽돌훐닺짺뗄ꆣ볈좻쫕죫킧폃쫇볤뷓뗄,뛸쳘뚨뗄풸췻쪵쿖뇘탫폐쿠펦맦쒣뗄컯훊믹뒡,벴쿠펦쫽솿뗄믵뇒쫕죫살놣횤,헢뻍뇭쏷쫕죫킧폃몯쫽퓚뚨틥폲뗄늻춬쟸볤뛔펦뗄탄샭풸췻쮮욽췹췹쫇늻춬뗄,짨쒳죋펵폐믵뇒쫕죫쫽솿퓚\[a,b),\[b,c)쟸볤쓚뿉럖뇰믱뗃낲좫룐뫍죙폾룐,뛸낲좫룐뫍죙폾룐퓚춨뎣쟩뿶쿂뗄룶죋틢틥쿠닮짵풶,웤킧폃솿듳킡닮뻠튲쫇쿔뛸틗춼3볻뗄,헢퇹뻍믡폐limU(x)ꇙlimU(x),듓뛸컒쏇뿉틔쓇쎴,헢훖킧폃풾잨쫇퓵퇹탎돉뗄쓘?죋쏇믱뗃킧폃살xꇺ-bxꇺ+b죏캪쫕죫킧폃몯쫽퓚웤뚨틥폲쓚쫇늻솬탸뗄ꆣퟔ폚탄샭탨쟳뗄싺ퟣ,뛸탄샭탨쟳쫇럖닣듎뗄,탄샭톧볒십떱좻쮹싥(AꆤHꆤMaslow,1908ꆪ1970)퓚웤훸쏻뗄ꆶ뚯믺폫죋,탄샭풸췻췹췹뇭쿖돶튻뚨뗄쒣뫽탔,쫇럱믡듦퓚헢훖뿉쓜벴퓚룱ꆷ튻쫩훐쏷좷뗘쳡돶쇋탨쟳닣듎샭싛,죏캪죋샠폐컥훖믹\[a,c\],\[b,d\]웤(훐b<c)럖뇰믱뗃낲좫룐뫍죙폾룐놾탨쟳,럖뇰쫇짺샭탨쟳ꆢ낲좫탨쟳ꆢ짧믡맩쫴벰낮뗄탨,튲뻍쫇쮵\[b,c\]벴(\[a,c\],\[b,d\붻]벯)쫇낲좫룐뫍죙폾룐릲듦쟸볤쓘?퓬돉헢튻틉컊,훷튪쫇평폚쟳ꆢퟔퟰ탨쟳뫍ퟔ컒쪵쿖탨쟳ꆣ헢훖믹놾탄샭탨쟳볈쫇탄샭컒쏇ퟔ짭뛔낲좫룐뫍죙폾룐뷧뚨늻쟥,죎뫎쫂컯랢햹뚼폐튻닣쏦짏뗄폖쫇짺샭닣쏦짏뗄,쯼쏇쫇죋샠쳬탔훐만폐뗄뚫룶솿뇤떽훊뇤뗄맽돌컷,컄뮯늻쓜뛳즱쯼쏇,횻쓜틖훆쯼쏇ꆣ믹놾탨쟳내헕튻훖,떱쫕죫쫽솿샛벯떽튻뚨쮮욽,뛔펦뗄킧폃랢짺춹뇤쫇뇘좻뗄ꆣ쿠떱만뚨뗄쮳탲업쇐뗄,짺샭탨쟳ꇺ낲좫탨쟳ꇺ짧믡맩쫴벰퓙믘떽쿻럑헟탐캪짏낮뗄탨쟳ꇺퟔퟰ탨쟳ꇺퟔ컒쪵쿖탨쟳,탲쇐뾿잰뗄쫇뇘탫폅,믵뇒쫕죫킧폃쫇춨맽닺욷킧폃살쳥쿖쿈싺ퟣ뗄뗍벶탨쟳,듓뛸탎돉튻훖평뗍벶쿲룟벶퇝뷸뗄탨쟳,뛸튻뚨컯욷뫍럾컱뇘탫틔튻뚨쫽솿뗄믵뇒살릺싲,벴믵뇒쫕죫뗄킧폃쫇춨맽튻뚨쫽솿뗄믵뇒벯쳥ퟷ폃뛸뇭쿖돶살닣듎ꆣ뗄헻쳥킧폃,뇈죧쒳죋릺싲1볾틂럾탨100풪ꆣ쿻럑헢볾틂럾듸살뗄킧폃쫇40룶킧폃떥캻,퓲헢훖쟩뿶쿂믵뇒쫕죫킧폃뻍쫇100풪뛔40떥캻,뛸릺싲뗧쫓믺탨2000풪,뾴뗧쫓듸살뗄킧폃죧쫇1000떥캻,퓲헢쪱믵뇒쫕죫킧폃캪2000풪뛔1000떥캻ꆣ죧맻쒳죋믵뇒쫕죫쫽솿짙폚2000풪,퓲횻쓜릺싲틂럾닺욷,웤킧폃쟸볤캪[0,800\],뛸떱믵뇒쫕죫쫽솿듳폚2000풪,폖풸틢틔뗧쫓믺캪쿻럑뛔쿳,웤킧폃쟸볤캪[1000,1000+ꆭ\],헢퇹뻍믡퓚2000풪뢽뷼탎돉뗄킧폃닮틬limU(x)ꇙ,limU(x),떱좻헢훖닮틬폫웤뇪훃-+xꇺ2000xꇺ2000춼4뗄쿻럑쮮욽쫇튻훂뗄ꆣ뺡맜십쮹싥죏캪,뗍벶탨쟳싺ퟣ뫳,룟벶탨쟳뗄돶쿖늢뛾ꆢ쫕죫킧폃풾잨폫탄샭탨쟳닣듎늻쫇쳸풾뗄ꆢ춻좻뗄,뛸쫇죕벯퓂샛뮺싽뗘듓컞떽폐ꆢ훰늽쿖퓚틔쒳튻볈뚨쿻럑샠탍쿂,떥캻믵뇒쯹믱뗃뗄욽뻹킧랢짺뗄ꆣ떫헢횻쫇뻍죋쏇춨뎣짺믮뇤잨뗄맽돌,벴쪱볤탲쇐폃솿캪믵뇒쫕죫킧폃쾵쫽,벴:킧폃쾵쫽k=짌욷킧폃쫽솿/짏살첸뗄,뛸죧맻듓탨쟳닣듎평뗍쿲룟뗄퇝뷸뛔죋뗄폻췻싺룃짌욷볛룱솿ꆣ쓇쎴릺싲틂럾뗄킧폃쾵쫽캪014,뛸릺싲뗧ퟣ뗄펰쿬살뾴,헢훖킧폃춻뇤쫇훘듳뗄ꆣ십쮹싥퓚쫩훐첸쫓믺뗄킧폃쾵쫽캪015ꆣ떽,뗍벶탨쟳뫍룟벶탨쟳듸룸죋뗄싺ퟣ쫇늻춬뗄,뇈죧낲좫쿔좻,죧맻냑쫐뎡짏닺욷볲떥뗘럖캪솽샠,튻샠틔틂럾룐뗄싺ퟣ뚥뛠룸죋틔죧쫍훘뢺뗄룐뻵,뛸짺믮퓚룟벶탨쟳뗄캪뇭헷컯,듺뇭짺믮뇘탫욷,쇭튻샠틔뗧쫓믺캪뇭헷컯듺뇭쮮욽짏,죋뿉틔쪵쿖룼듳뗄짺컯잱쓜뫍룼싺틢뗄훷맛쳥퇩ꆣ룟떵쿻럑욷(솽샠닺욷럖뇰뛔펦늻춬뗄탄샭탨쟳닣듎),틲짺샭짏룼볓붡뾵뎤쫙,탄샭짏믱뗃룼뎹뗗뗄탒뢣룐ꆣퟜ횮,ꆪ131ꆪ' 1994-2006 China Academic Journal Electronic Publishing House. All rights reserved.
탨쟳닣듎뗄쎿튻듎춻웆뇘좻룸죋듸살싺ퟣ룐뷸뛸킧폃솿튲믡튪폐탄샭탨쟳닣듎ꆢ쿻럑춬훊탔솽랽쏦뗄틲쯘,쿻럑춬훊탔벤퓶ꆣ떼훂쫕죫뇟볊킧폃뗝복,탨쟳닣듎쳡룟틽웰쫕죫뇟볊킧폃뗝헽죧잰컄쯹쮵,쫕죫닺짺킧폃쫇퓚폚쫕죫쳡릩쇋싺ퟣ죋퓶ꆣ솽헟뛔늻춬쿻럑헟뗄펰쿬돌뛈늻춬,쫜쿻럑춬훊탔펰쿬뗄쒳훖탨쟳닣듎탄샭풸췻쯹뇘튪뗄컯훊믹뒡ꆣ쪵쿖늻춬탨쟳듳,뛸쫜탄샭탨쟳닣듎펰쿬킡뗄쿻럑헟쫕죫킧폃쟺쿟짏춹,닣듎쯹탨뗄컯훊믹뒡뗄맦쒣늻춬,뛔펦뗄믵뇒쫕죫쫽솿늻랴횮,퓲쟺쿟쿂춹ꆣ춬ꆣ헢뻍뇭쏷늻춬쫕죫쮮욽싺ퟣ탄샭풸췻쓜솦늻춬,튻훖쫕쯄ꆢ뷡쫸폯죫쮮욽펦뛔튻훖탄샭탨쟳닣듎(떱좻,헢샯늢늻럱죏쫕죫쫇춨뎣죋쏇퓚뷸탐릺싲닊욱뫍놣쿕뗈럧쿕춶쪱,평폚랢싺ퟣ탄샭풸췻뇘튪쳵볾,뛸늻쫇돤럖쳵볾,횻쫇컒쏇퓚첸쫕탐돉놾뗈풭틲,웤쫕틦웚췻횵튻뚨킡폚춶횵,쓇쎴샭탔뺭죫킧쪱,쫇냑웤쯼쳵볾뎣솿뮯,헢퇹쫕죫쮮욽뫍탄샭탨쟳닣볃죋캪쪲쎴믡뻶뚨춶쓘?풭틲퓚폚컒쏇볆쯣쫕틦쪱,쫇틔듎횮볤늢릹돉쇋튻훖쿟탔펳짤맘쾵),듓뛸떼훂쒳룶쪱뗣짏늻뇤뗄볛룱캪돟뛈살뫢솿뗄,뫶쫓쇋춶헟뗄훷맛틲쯘,헢쫕죫쮮욽뇤뮯듸살킧폃벤퓶,탎돉킧폃풾잨ꆣ튻컊쳢,퓧퓚쪮냋쫀볊돵늮얬샻퓚ꆶ닢뚨럧쿕탂샭싛횮뷢죽ꆢ쫕죫킧폃닮틬뗄쫽톧럖컶쮵ꆷ틑ퟷ맽닻쮵ꆣ죧맻듓킧폃뷇뛈살뾴,춶헟뗄춶첬뛈평짏쏦뗄럖컶컒쏇횪뗀,쫕죫킧폃쫽솿뗄듳킡평킧폃쾵뻍뻶뚨폚쫕틦뗄킧폃쟺쿟뗄춹쿲,헢뻍폶떽잰컄쯹쮵뗄쫕죫쫽살뻶뚨뗄,짨믵뇒쫕죫킧폃쾵쫽캪k,퓲k쫇튻룶맘폚쫕킧폃닮틬컊쳢,벴럧쿕춶훐뗄럧쿕틧볛살ퟔ폚럧쿕욫뫃헟죫쫽솿x뗄몯쫽k(x),쟒k(x)냼삨솽늿럖,k1(x)쫇늻뗝퓶뗄쫕죫킧폃,벴웤쫕죫킧폃,뛸럧쿕맦뇜헟좴틲쫕죫뇟뾼싇평폚킧폃뗈벶뇤잨쪱뗄쫕죫킧폃쾵쫽,럾듓뇟볊뗝복맦볊킧폃뗝복뛸탎돉럧쿕쳹쮮,웤쫕죫킧폃쟺쿟짏춹ꆣ틔쿂컒싉ꆣ뛸k2(x)퓲쫇킧폃풾잨틲쯘닺짺뗄(헢샯탨튪쮵쏷뗄쏇샻폃룃쫽톧쒣탍뛔럧쿕탐캪헟쫕죫킧폃뇟볊닮틬뷸탐쪵샽쫇k2(x)쫇폫잰컄훐ꇷk뗄쿠춬틢틥뇪볇럻뫅,틔뇣폚럖컶럖컶:컊쳢),떱컒쏇냑믵뇒쫕죫쫽솿럖돉컞쫽룶킧폃뗈벶쪱,튻(1)럧쿕맦뇜헟:럧쿕퇡뛱헟뛠쫴폚놣쫘탍,탄샭맟탔룶뗈벶뇤잨뇘좻떼훂튻뚨솿뗄킧폃쾵쫽풾잨,틲뛸탎돉튻룶듳,뛔뻉폐짺믮뫍쿻럑랽쪽듦퓚틀솵탄샭,쿻럑쮮욽늻뛏뗄폫쫕죫쫽솿뛔펦뗄몯쫽,틲듋ퟜ뗄쫕죫킧폃솿뇤잨맽돌훐,ꇷk쫽횵킡퓶럹뇤뮯싽,|kꇤ2(x)|뷏킡ꆣ춬쪱헢샠쿻럑헟짺믮뷚볳,쿻럑춬훊탔쳘뗣쿔훸,뇟볊킧폃뗝u(x)=ꇆn\[k1i(x)+k2i(x)\]ꇷxii=1볙뚨쫕죫뇟볊킧폃ퟜ쫇헽뗄(믵뇒쫕죫뛔뻸듳뛠쫽죋살복뿬,|kꇤ1(x)|뷏듳,틲듋쟺쿟짏춹ꆣ쮵뛠뛠틦짆(2)럧쿕훐탔헟:쫴폚컈훘탍쿻럑헟,헢훖죋탐캪샭),쟒킧폃럇컞쿞솿,u(x)쫇x뗄떥뗷퓶폐뷧탔,쯦쫕죫춬늽쳡룟,룷뷗뛎킧폃풾잨돌뛈벰뇟볊킧폃뗝복몯쫽ꆣ쓇쎴떱쪱ꇷxiꇺ0,nꇺꇞ쪱,u(x)=ꇆn\[k1i(x)+쯙뛈컈뚨,웤|kꇤ1(x)|ꆢ|k2(x)|췹췹듳훂쿠떱,uꇥ(x)i=1k=0,킧폃쟺쿟캪횱쿟탍ꆣ2i(x)\]ꇷxi뗄벫쿞듦퓚,늢폐(3)럧쿕욫뫃헟:쫴폚훷뚯탍쿻럑헟,뛔탂짺쫂컯쏴룐u(x)=limꇷnꇺꇞꇆn\[k1i(x)+k2i(x)\]ꇷxiꇺi=1훷뚯,ힷ쟳쪱짐,쯻쏇뛔탂뗄짺믮랽쪽폐ퟅ잿쇒뗄뿊췻,x0iꇷk쫽횵룟쟒퓶럹뇤뿬,|kꇤ2(x)|틲듋뷏듳ꆣ춬쪱쯻쏇짺=ꇒx[k1(t)]+k2(t)]dt믮랽쪽뇤뮯뷚ퟠ뿬,쿻럑춬훊탔뗍,믵뇒쫕죫뇟볊킧폃뗝복0쯙뛈랴뛸풽싽,|kꇤ1(x)|뷏킡,uꇥ(x)>0,쟺쿟캪짏낼ꆣuꇤ(x)=k1(x)+k2(x)uꇥ[닎뾼컄쿗](x)=kꇤ1(x)+kꇤ2(x)평폚럾듓뇟볊킧폃뗝복맦싉kꇤ1(x)<0\[1\]낣샯뿋ꆤ싞뛻.뺭볃쮼쿫쪷\[M\].짌컱펡쫩망,,뛸k2(x)쫴폚킧폃쾵쫽풾잨늿럖쫇쾵쫽풾잨뗄헽횵샛믽솿(벴:(x)=ꇷk1+ꇷk2ꆭꆭ+ꇷk\[2\]뾨뛻.쏅룱뛻.맺쏱뺭볃톧풭샭\[M\].짏몣죋쏱돶nꆭꆭ)뇘좻쯦믵뇒쫕죫쫽솿뛸뗝퓶,kꇤ냦짧,(x)>0죴|kꇤ\[3\]M,십쮹싥.뚯믺폫죋룱\[M\].놱뺩:뮪쿄돶냦1(x)|=|kꇤ2(x)|,uꇥ(x)=0,uꇤ(x)=c캪뎣쫽짧,1997.,u(x)캪횱쿟;\[4\]훇뷜.뺭볃톧훐뗄볊킧훷틥ꆪꆪꆪ샺쪷뗄엺에뗄퇐|kꇤ1(x)|>|kꇤ2(x)|,uꇥ(x)<0,뇟볊킧폃뗝복,뺿\[M\].놱뺩듳톧돶냦짧,(x)짏춹;|kꇤ\[5\]RobertSPinydck,Microeconomics\[M\].훐맺죋쏱1(x)|<|kꇤ2(x)|,uꇥ(x)>0,뇟볊킧폃뗝퓶,듳톧돶냦짧,(x)쿂춹ꆣ춨맽틔짏럖컶컒쏇뿉틔뗃돶틔쿂뷡싛,펰쿬쫕죫킧폃훷[퓰죎뇠벭:탭풾믔]ꆪ132ꆪ' 1994-2006 China Academic Journal Electronic Publishing House. All rights reserved.
