뗚5뻭뗚2웚맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨쓪6퓂ꆡꆡꆡꆡꆡꆡꆡꆡJOURNALOFMANAGEMENTSCIENCESINCHINAꆡꆡꆡꆡꆡꆡꆡꆡꆡJun.,2002웧쫓탔뚨볛쿂뗄솽뷗뛎쮮욽닮틬쒣탍ꋙ닜붨,맋탂튻(짏몣샭릤듳톧짌톧풺,짏몣200031)햪튪:퓚듳뛠쫽퇐뺿닺욷쮮욽닮틬뗄솽뷗뛎Hotelling쒣탍훐,뎧짌뗄톡횷ퟜ쫇욫샫짧믡ퟮ폅뷡맻.룹뻝쿻럑헟ퟜ쪣폠뗄늻춬좡횵럖컶쇋떱쮫춷슢뛏뎧짌닉폃웧쫓탔닟싔쪱뗄솽뷗뛎톡횷-뚨볛쒣탍.솽룶뎧짌퓚늩?뗄뗚튻뷗뛎훐톡횷뚨캻,늢퓚뗚뛾뷗뛎훆뚨돶쿠펦뗄웧쫓볛룱.쒣탍뗄ퟓ늩?뺫솶쓉쪲뻹뫢뇭쏷웧쫓탔뚨볛쿂뎧짌뗄톡횷캪짧믡ퟮ폅.맘볼듊:쮮욽닮틬;Hotelling쒣탍;웧쫓탔뚨볛;쮫춷슢뛏훐춼럖샠뫅:ꆡꆡ컄쿗뇪쪶싫:Aꆡꆡꆡ컄헂뇠뫅:100729807(2002)03200562060ꆡ틽ꆡ퇔뚨볛닟싔뗄풲훜돇쫐쒣탍,떱뎧짌짺닺뻟폐뷏듳뗄맦쒣뺭볃탔쪱,웧쫓탔뚨볛캪뎧짌뗄햼폅닟싔.닺욷닮틬뮯뎧짌뗄뚨볛닟싔훷튪폐솽훖놾컄훷튪럖컶떱쮫춷슢뛏뎧짌닉폃웧쫓탔뚨:튻샠쫇돶뎧뚨볛(millp볛닟싔쪱,퓚뛾듎퓋쫤돉놾쿂뗄쮮욽닮틬쒣탍.쒣ricing)닟싔,듋쪱뎧짌뛔쯹폐늻춬욫뫃뗄쿻럑헟횻짺닺튻훖닺욷늢쿠펦훆뚨탍쫇솽룶뎧짌뗄솽뷗뛎췪좫탅쾢뚯첬늩?,늩?튻룶춳튻뗄볛룱,쿻럑헟퓚뷸탐릺싲뻶닟쪱,돽쇋뗄쪱볤쮳탲죧쿂:뗚튻뷗뛎솽룶뎧짌퇘\[0,1\쿟]탔횧뢶닺욷뗄볛룱췢,뮹튪돐떣평폚릺싲쇋튻룶럇돇쫐춬쪱톡횷;뗚뛾뷗뛎솽룶뎧짌춬쪱뷸탐볛룱샭쿫닺욷쯹닺짺뗄뢺킧폃(d뺺헹.isutility),벴퓋쫤돉놾;쇭튻샠뚨볛룱닟싔쫇웧쫓탔뚨볛(discrimina2torypricing)닟싔,뎧짌룹뻝늻춬욫뫃뗄쿻럑헟짺1ꆡ쒣탍닺늻춬뗄닺욷틔벰훆뚨늻춬뗄볛룱,듋쪱닺욷뗄볛룱훐냼몬쇋퓋쫤돉놾,늻춬뗄뎧짌헫뛔쒳튻볈듦퓚튻룶뎤뛈캪1뗄ꆰ쿟탔돇쫐ꆱ,쿻럑헟틔뚨쿻럑헟뷸탐Bertrand볛룱뺺헹.쿖쪵짺믮훐쿠쏜뛈1퇘돇쫐뻹퓈럖늼.듦퓚솽룶뎧짌i=1,2.볙샠쯆뗄쫇튻킩캪뿍뮧뚨훆짺닺닺욷뗄탐튵,죧럾뚨뎧짌1퓚a뗣짏,뎧짌2퓚1-b뗣짏,웤훐aꇝힰꆢ힡랿틔벰힡랿ힰ탞뗈\[1-14\].0,b>0.늻쪧튻냣탔,볙뚨1-a-bꇝ0.솽룶뎧떱뎧짌닉폃돶뎧뚨볛닟싔쪱,솽뷗뛎쮫춷슢짌짺닺돽캻훃췢뗄춬훊닺욷,쯷좡뗄볛룱럖뇰캪뛏뎧짌뗄톡횷-뚨볛쒣탍룹뻝퓋쫤돉놾탎쪽뗄늻p1뫍p2.늻쪧튻냣탔,볙뚨짺닺뗄뇟볊돉놾캪0.춬폐늻춬뗄뷡싛,죧퓚쿟탔퓋쫤돉놾쿂폐ꆰퟮ킡닮뛾듎퓋쫤돉놾,떥캻퓋쫤돉놾캪t.뎧짌뗄ퟜ돉놾틬뮯풭퓲ꆱ,퓚뛾듎퓋쫤돉놾쿂폐ꆰퟮ듳닮틬뮯풭캪짺닺돉놾볓퓋쫤돉놾,뎧짌뗄ퟜ뇟볊돉놾캪짺퓲ꆱ,솽헟뚼욫샫짧믡ퟮ폅뷡맻.컄\[14\뗄]쒣탍럖닺뗄뇟볊돉놾볓짏뇟볊퓋쫤돉놾,볻춼1.컶쇋퓚솽룶뎧짌럖뇰캻폚쿟탔돇쫐뗄솽뛋ꆢ쿻럑쿻럑헟횻폐떥캻탨쟳,릺싲짌욷믱뗃뗄ퟜ쪣헟뻟폐떯탔탨쟳ꆢ쿟탔퓋쫤돉놾뗄쟩뿶쿂,떱솽룶폠캪v.ퟸ뇪캪x뗄쿻럑헟듓릺싲짌욷믱뗃뗄뺻쪣뎧짌춬쪱톡퓱뚨볛닟싔쪱,웧쫓탔뚨볛폅폚돶뎧폠캪뚨볛.컄\[13\럖]컶쇋퓚뛾듎퓋쫤돉놾쿂뎧짌톡퓱ꋙ쫕룥죕웚:2000208228;탞뚩죕웚:2002201214.ퟷ헟볲뷩:닜붨(19692),쓐,짏몣죋,쮶쪿,붲쪦.
뗚3웚ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ닜붨뗈:웧쫓탔뚨볛쿂뗄솽뷗뛎쮮욽닮틬쒣탍ꆪ57ꆪv-p1(x)ꆡ듓뎧짌1뒦릺싲222b-x),떱쟒뷶떱t(1-b-x)ꇝt(x-a).Uxꇔv-p2(x)ꆡ듓뎧짌2뒦릺싲(1)ꆡꆡ0ꆡꆡꆡꆡꆡ늻싲2ꆡퟓ늩?뺫솶쓉쪲뻹뫢죧춼1쯹쪾,떱쿻럑헟릺싲짌욷쯹믱뗃뗄ퟜ쪣폠v좡늻춬뗄횵,틔벰뎧짌뗚튻뷗뛎뗄늻춬뚨캻붫뛔뎧짌뗄뚨볛닺짺늻춬뗄펰쿬,틔쿂붫룹뻝v틔벰aꆢb뗄늻춬좡횵쳖싛쒣탍뗄ퟓ늩?뺫솶쓉쪲뻹뫢.ꆡvꇝmax2{t(12-b),t(1-a)}평폚듋쪱쿻럑헟뗄ퟜ쪣폠뷏룟,쟒뎧짌뗄돵쪼캻훃싺ퟣaꇝ1-vöt,bꇝ1-vöt,틲듋솽춼1ꆡ쮫춷슢뛏뎧짌뗄뇟볊돉놾룶뎧짌뚼튪헹뛡\[0,1\]짏쯹폐뗄쿻럑헟.뛔뎧짌i뛔폚튻룶볈뚨뗄쿻럑헟x,죎뫎튻룶뎧짌쯹살쮵,퓚룸뚨쮫랽캻훃(a,b)쿂웤ퟮ폅뚨볛캪쓜훆뚨뗄ퟮ뗍볛룱캪웤뇟볊돉놾,쯹쓜훆뚨뗄ퟮ23t(1-b-x)0ꇜxꇜ(1+a-b)ö2룟볛룱캪쿻럑헟뗄ퟜ쪣폠.춬쪱뎧짌i뗄뚨볛붫pi(x)=2t(x-a)(1+a-b)ö2<xꇜꆡ1뒦폚쿂쇐3훖쟩뿶횮튻i=1,2(4):1ꇣ슢뛏뗘캻(monopolypos웤훐ꆡ솽룶뎧짌뗄쫐뎡럝뛮럖뇰캪ition):뎧짌i쓜릻훆뚨뗄슢뛏볛룱늻뎬맽뎧짌j뗄ퟜ뇟볊돉놾ꆡD1=(1+a-b)ö2.솽룶뎧짌뗄슢뛏뚨볛럖뇰싺ퟣꆡD2=(1-a+b)ö2(5)M2p1(x)ꇊargmax{p1-t(x-a)}솽룶뎧짌뗄샻죳몯쫽럖뇰캪p1Mp2(x)ꇊargm2ax{p2-t(1-b-x)}(2)Π21(a,b)=pꇒ1+a-b2[t(1-b-x)\]dx-02틲듋솽룶뎧짌뗄슢뛏뚨볛뚼캪ퟮ듳뻰좡쿻럑헟쪣폠M2p1(x)=v,떱쟒뷶떱Mꇒ1+a-b22[t(x-a)\]dx(6)0p1(x)ꇜt(1-b-x);MpΠ22(a,b)=2(x)=v,떱쟒뷶떱M2p2(x)ꇜt(x-a).ꇒ11+a-b[t(x-a)\]dx-22ꇣ돉놾폅쫆(costadvantage):죧맻뎧짌i늻뒦폚슢뛏뗘캻,떫웤ퟜ뇟볊돉놾뗍폚뎧짌j뗄ퟜ뇟ꇒ121+a-b[t(1-b-x)\]dx(7)2볊돉놾떱룸뚨뛔랽뗄캻훃쪱,뎧짌틆뚯튪좨뫢틆뚯.솽룶뎧짌뗄돉놾폅쫆뚨볛럖뇰싺ퟣC2p1(x)ꇊargmax{p1-t(x-a)쯹퓶볓뗄샻죳뫍복짙뗄샻죳횮볤뗄듳킡.죧춼2;p1ꆡꆡꆡꆡꆡꆡ쯹쪾,떱뎧짌1듓캻훃a쿲폒틆뚯떽캻훃aꆯ쪱퓶2p1ꇜt(1-b-x)}볓뗄샻죳쏦믽A평솽늿럖ퟩ돉:튻늿럖쫇탂퓶볓C2p2(x)ꇊargmax{p2-t(1-b-x);p2뗄쫐뎡럝뛮[(1+a-b)ö2,(1+aꆯ-b)ö2\]듸ꆡꆡꆡꆡꆡꆡp2ꇜ2t(x-a)}(3)살뗄샻죳;쇭튻늿럖쫇퓚풭폐늿럖쫐뎡럝뛮틲듋솽룶뎧짌뗄돉놾폅쫆뚨볛럖뇰캪뛔랽뗄뇟볊((a+aꆯ)ö2,(1+a-b)ö2\]횮볤평폚돉놾쿂붵돉놾C2p1(x)=t(12-b-x),떱쟒뷶떱t(x-a)뛸퓶볓뗄샻죳.복짙뗄샻죳쏦믽B쫇평폚풭폐늿<2t(1C2-b-x);p2(x)=t(x-a),떱쟒뷶떱t(1럖쫐뎡럝뛮\[0,(a+aꆯ)ö2)횮볤돉놾뗄짏짽퓬돉22-b-x)<t(x-a).뗄.평샻죳몯쫽뗄튻뷗쳵볾dΠ1=0뫍dΠ2=0뗃dadb3ꇣ컞돉놾폅쫆:뎧짌i뗄ퟜ뇟볊돉놾늻킡폚뎧짌j뗄ퟜ뇟볊돉놾.솽룶뎧짌뗄컞돉놾폅쫆뚨볛솽룶뎧짌뗄ퟮ폅뚨캻캪3a=3b=1ö4ꋙ.룹뻝틑럖뇰캪룷ퟔ뗄뇟볊돉놾N2p1(x)=t(x-a),떱쟒뷶떱ꋙ뛾듎퓋쫤돉놾쪹뗃샻죳몯쫽캪낼몯쫽,틲듋튻뷗쳵볾볈쫇돤22Nt(x-a)ꇝt(1-b-x);p2(x)=t(1-럖뗄폖쫇뇘튪뗄.쿂춬
ꆪ58ꆪ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ2002쓪6퓂횪쳵볾vꇝm2ax{t(1-b3),t(12-a)}뿉횪놾뷚뗄p2(x)=쟩뿶떱쟒뷶떱vꇝ29tö16쪱닅돶쿖.t(1-b-x)0ꇜxꇜ(1+a-b)ö22t(x-a)(1+a-b)ö2<xꇜa+vöt(10)va+vöt<xꇜt솽룶뎧짌뗄쫐뎡럝뛮춬(5).뎧짌1뗄샻죳몯쫽춬(9),뎧짌2뗄샻죳몯쫽캪Π2(a,b)=v(1-a-vöt)+ꇒa+vöt21+a-a)\]dx--b[t(x2ꇒ12(1+a1-b-x)\]-b[tdx(11)2튻뷗쳵볾뗃솽룶뎧짌뗄ퟮ폅뚨캻캪3a=3b=1ö4.놾뷚뗄쟩뿶떱쟒뷶떱9tö16ꇝvꇝtö16쪱닅춼돶쿖.2ꆡ뎧짌1쿲폒틆뚯ꆡvꇜꆡt(1-b)ꇝvꇝt(1-a)2뎧짌뗄돵쪼캻훃싺ퟣaꇝ1-vöt,bꇜ1-뎧짌뗄돵쪼뚨캻싺ퟣaꇜmin{vöt,1-vöt.뎧짌1뗄ퟮ폅뚨볛캪vöt},bꇜmin{vöt,1-vöt}쟒a+bꇜ1-3p1(x)=2vöt.솽룶뎧짌뗄ퟮ폅뚨볛럖뇰캪v0ꇜxꇜ1-b-vöt3v0ꇜxꇜa+vötp1(x)=2t(x-a)a+vöt<xꇜ(12)21t(1-b-x)1-b-vöt<xꇜ(1+a-b)ö23p2(x)=2t(x-a)(1+a-b)ö2<xꇜ1t(12-b-x)0ꇜxꇜ1-b-vöt(8)(13)뎧짌v1-b-vöt<xꇜ12뗄ퟮ폅뚨볛춬(4).솽룶뎧짌뗄쫐뎡럝쮫랽뗄쫐뎡럝뛮럖뇰캪D1=a+vöt,뛮춬(5).뎧짌1뗄샻죳몯쫽캪D2=b+vöt.캻폚(a+vöt,1-b-vöt)Π1(a,b)=v(1-b-vöt)+횮볤뗄쿻럑헟쎻폐릺싲.ꇒ1+a-b22t(1-b-x)\]dx-솽룶뎧짌뗄샻죳몯쫽럖뇰캪1-b-vö[tΠ1(a,b)=v(a+vöt)-ꇒ1+a-b22[t(x-a)\]dx(9)0뎧짌ꇒa+vöt2[t(x-a)\]dx(14)02뗄샻죳몯쫽춬(7).평샻죳몯쫽뗄튻뷗쳵볾뗃솽룶뎧짌뗄ퟮ폅뚨캻캪Π2(a,b)=v(b+vöt)-3a=3b=1ö4.놾뷚뗄쟩뿶떱쟒뷶떱v=9tö16쪱닅돶쿖.ꇒ121-b-vö[t(1-b-x)\]dx(15)t짏쫶뷡싛떱2t(1-a)ꇝvꇝ2t(1-b)쪱튲평폚솽룶뎧짌퓚룷ퟔ뗄쫐뎡훐뒦폚슢뛏캻춬퇹돉솢.훃,틲듋샻죳몯쫽뷶뷶춬뎧짌ퟔ벺뗄캻훃쿠맘,평ꆡmin2{t(12-b),t(1-a)}ꇝvꇝ샻죳몯쫽뗄튻뷗쳵볾뗃솽룶뎧짌뗄ퟮ폅뚨캻캪max22{ta,tb}3a=3b=vöt.놾뷚뗄쟩뿶떱쟒뷶떱vꇜtöꆡvꇝ1t쪱닅돶쿖.2뎧짌뗄돵쪼뚨캻싺ퟣaꇜmin{vöꆡ2taꇝ2vꇝtbt,ꆡvꇝtvöt},bꇜmin{vöt,1-vöt}쟒a+bꇝ1-22vöt.뎧짌1뗄ퟮ폅뚨볛춬(8),뎧짌2뗄ퟮ폅뚨뎧짌뗄돵쪼뚨캻싺ퟣaꇝvöt,bꇜvöt쟒볛캪a+bꇝ1-2vöt.뎧짌1뗄ퟮ폅뚨볛캪
뗚3웚ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ닜붨뗈:웧쫓탔뚨볛쿂뗄솽뷗뛎쮮욽닮틬쒣탍ꆪ59ꆪ3p1(x)=짏쫶뷡싛떱2tbꇝ2vꇝta쪱튲춬퇹돉솢.2t(x-a)0ꇜ22xꇜa-vöꆡmin{ta,tb}ꇝv>0ꆡꆡ2va-vöt<xꇜ1-b-vöꆡvꇝ1-a-t22t(1-b-x)1-b-vöt<xꇜ(1+a-b)ö22t(x-a)(1+a-b)ö2<xꇜ1뎧짌뗄돵쪼뚨캻싺ퟣaꇝvöt,bꇝvöt쟒(16)뎧짌2뗄ퟮ폅뚨볛춬a+bꇝ1-2vöt.뎧짌1뗄ퟮ폅뚨볛춬(16),뎧(10).쮫랽뗄쫐뎡럝뛮럖뇰캪짌2뗄ퟮ폅뚨볛캪D1=(1-a-b)ö2+vöt,D2=b+3p2(x)=2vöt.캻폚\[0,a-vöt]횮볤뗄쿻럑헟쎻폐t(1-b-x)0ꇜxꇜ(1+a-b)ö2릺싲(x-a)(1+a-b)ö2<xꇜa+vöt뎧짌2뗄샻죳몯쫽춬(11),뎧짌1뗄샻죳몯va+vö(20)t<xꇜ1-b+vöt쫽캪2t(1-b-x)1-b+vöt<xꇜ1Π쮫랽뗄쫐뎡럝뛮럖뇰캪D1=(1-a-b)ö1(a,b)=v(1-a-b)+ꇒ1+a-b2+vöt,D2=(1-a-b)ö2+vöt.캻폚\[0,22[t(1-b-x)\]dx--b-vöta-vöt)틔벰(1-b+vöt,1\]횮볤뗄쿻럑헟ꇒ1+a-b22t(x-a)\]dx(17)쎻폐릺싲.a-vö[t평튻뷗쳵볾뗃솽룶뎧짌뗄ퟮ폅뚨캻캪뎧짌1뗄샻죳몯쫽춬(17),뎧짌2뗄샻죳몯3a=쫽캪13-3vöt,b=vöt.놾뷚뗄쟩뿶떱쟒뷶떱vΠ2(a,b)=v(1-a-b)+ꇜtö16쪱닅돶쿖,쟒떱v=tö16쪱폐3a=3b=1ö4ꇒa+vöt21+a-b[t(x-a)\]ꆡvꇜ1t2ꇒ1-b+vöt21+a-b[t(1-b-x)\]dx(21)2뎧짌뗄돵쪼뚨캻싺ퟣaꇝvöt,bꇜvöt쟒평튻뷗쳵볾뗃솽룶뎧짌뗄ퟮ폅뚨캻싺ퟣ33a+bꇜ1-2vöt.뎧짌1뗄ퟮ폅뚨볛캪a+b=1-2vöt,퓚뛔돆뻹뫢쿂폐3a=3p31(x)=b=1ö2-vöt.놾뷚뗄쟩뿶떱쟒뷶떱vꇜtö162t(x-a)0ꇜxꇜa-vöt쪱닅돶쿖3,쟒떱v=tö16쪱폐3a=b=1ö-vöt<xꇜa+vöt(18)ꆡa-bvꇜ1-t22t(x-a)a+vöt<xꇜ1뎧짌2뗄ퟮ폅뚨볛춬(13).쮫랽뗄쫐뎡럝뛮뎧짌뗄돵쪼뚨캻싺ퟣaꇝvöt,bꇝvöt쟒럖뇰캪Da+bꇜ1-2vöt.뎧짌1뗄ퟮ폅뚨볛춬(18),뎧1=2vöt,D2=b+vöt.캻폚\[0,a-vöt]틔벰짌2뗄ퟮ폅뚨볛캪(a+vöt,1-b-vöt)횮볤뗄쿻3p2(x)=럑헟쎻폐릺싲.2t(1-b-x)0ꇜxꇜ1-b-vöt뎧짌2뗄샻죳몯쫽춬(15),뎧짌1뗄샻죳몯v1-b-vöt<xꇜ1-b+vöt(22)쫽캪2t(1-b-x)1-b+vöt<xꇜ1ꆡꆡΠ1(a,b)=2vvöt-쮫랽뗄쫐뎡럝뛮럖뇰캪D1=2vöt,D2=ꇒa+vöt2[t(x-aa-vö)\]dx(19)2vöt.캻폚\[0,a-vöt]ꆢ(a+vöt,1-b-t틲캪뎧짌1퓚웤뻖늿쫐뎡랶캧쓚ퟜ뒦폚슢뛏vöt)틔벰(1-b+vöt,1\]횮볤뗄쿻럑헟쎻폐뗘캻,틲듋떱vötꇜaꇜ1-b-2vöt쪱,뎧릺싲.짌1뗄샻죳춬웤캻훃늻쿠맘.뎧짌2뗄ퟮ폅뚨캻뎧짌1뗄샻죳몯쫽춬(19),뎧짌2뗄샻죳몯캪3b=vöt.놾뷚쟩뿶떱쟒뷶떱vꇜtö16쪱닅쫽캪돶쿖,쟒떱v=tö16쪱폐3a=3b=1ö4.Π2(a,b)=2vvöt-
ꆪ60ꆪ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ2002쓪6퓂ꇒ1-b+vöt2뎧짌i뗄샻죳캪[t(1-b-x)\]dx(23)1-b-vöttö8vꇝ9tö16Π3듋쪱솽룶뎧짌뗄샻죳듳킡춬웤캻훃컞맘i=.놾3vö4-2vvötö3-tö439tö16>vꇝtö16뷚뗄쟩뿶떱쟒뷶떱vꇜtö16쪱닅돶쿖,쟒떱v=(25)tö16쪱폐3a=3b=1ö4.웤훐ꆡi=1,2떱쿻럑헟ퟜ쪣폠뷏뗍쪱,벴v<tö16쪱,쫐뎡3ꆡ뇈뷏뺲첬쎻폐놻췪좫뢲룇.룹뻝뷚뷡맻뿉횪쒣탍듦퓚뛠훘뻹뫢,뎧짌뗄뚨캻폫웤돵쪼뚨캻쿠평폚쿻럑헟뻟폐럇떯탔뗄떥캻탨쟳틔벰짺닺맘,믲헟춬쪱욫쿲돇쫐솽뛋,믲헟춬쪱욫쿲돇쫐훐뗄뇟볊돉놾캪쇣,틲듋짧믡뺻뢣샻ퟮ듳뮯뗈볛폚탄,믲헟튻룶욫쿲돇쫐훐탄뛸쇭튻룶욫쿲돇쫐튻퓋쫤돉놾ퟮ킡뮯,벴ꆡmina,b{ꇒδRxa2뛋.평폚솽룶뎧짌횮볤뗄쫐뎡쎻폐랢짺횱뷓뺺헹,δt(x-a)dx+Lxa벴133-a-bꇝ2vöt,틲듋뎧짌뗄뚨캻춬퇹럻ꇒδRxb2δRδt(L1-b-x)dx},웤훐δLxa,xa럖뇰캪뎧짌1ퟳꆢ뫏짧믡ퟮ폅.xb폒솽닠뇟볊쿻럑헟뗄캻훃δLδR,xb,xb럖뇰캪뎧짌2ퟳꆢ폒솽닠뇟볊쿻럑헟뗄캻훃.평튻뷗쳵볾뗃짧믡4ꆡ뷡쫸폯ퟮ폅캻훃캪wa=δR캢맛뺭볃톧훐웧쫓탔뚨볛닟싔뗄잰쳡캪슢뛏(xa+δLxa)ö2w,b=δ1RδL-(xb,xb)ö2떱쿻럑헟ퟜ쪣폠ퟣ릻룟쪱,벴vꇝtö16쪱,늻뎧짌ꆢ쿻럑헟볤컞쳗샻믮뚯뗈.떫퓚닺욷닮틬뮯뗄듦퓚럇뛔돆뗄ퟓ늩?뻹뫢뷢,솽룶뎧짌뻹럖쫐뎡맑춷슢뛏탐튵훐뎧짌튲뿉틔닉폃웧쫓탔뚨볛닟.뎧짌뗄ퟮ폅뚨캻캪3싔,헢쫇평폚뎧짌횮볤닺욷듦퓚닮틬탔,쿻럑헟뛔a=3b=1ö4,뗈춬폚짧믡ퟮ폅캻훃.룹뻝뷚훐뗄뷡맻뿉뗃쿻럑늻춬닺욷뗄욫뫃늻춬,틲듋뎧짌퓚뻖늿랶캧쓚뻟헟쏦쇙뗄볛룱캪폐슢뛏쫆솦,춬쪱쿻럑헟뗄쳗샻탐캪평폚퓋쫤돉3놾뗄듦퓚뛸컞램쪵쿖.놾컄룹뻝쿻럑헟ퟜ쪣폠뗄p(x)=늻춬좡횵럖컶쇋떱쮫춷슢뛏뎧짌닉폃웧쫓탔닟싔v0ꇜxꇜ3ö4-vöt쪱뗄솽뷗뛎톡횷-뚨볛쒣탍.쒣탍뗄ퟓ늩?뺫솶t(3ö42-x)3ö4-vöt<xꇜ1ö2(24)쓉쪲뻹뫢뇭쏷웧쫓탔뚨볛쿂뎧짌뗄톡횷캪짧믡t(x-1ö42)1ö2<xꇜ1ö4+vötퟮ폅.v1ö4+vöt<xꇜ1닎뾼컄쿗:\[1\ꆡ]떤쓡쮹õ뾨뛻뛙,뷜뢥샯õ엥싞럲.쿖듺닺튵ퟩ횯[M\].믆퇇뻻뗈틫,짏몣:짏몣죋쏱돶냦짧,\[2\ꆡ]뾨늼뛻.닺튵뺭볃톧잰퇘컊쳢[M\].폚솢뗈틫.놱뺩:훐맺쮰컱돶냦짧,\[3\ꆡ]첩샕뛻.닺튵ퟩ횯샭싛[M\].헅캬펭뗈틫.놱뺩:훐맺죋쏱듳톧돶냦짧,\[4\ꆡ]헔뗀훂.슢뛏뺺헹쫐뎡뚨볛닟싔뗄캢럖뛔닟쒣탍퇐뺿[J\].맜샭뿆톧톧놨,1999,2(4):34237\[5\ꆡ][J\].InternationalJournalofIndus2trialOrganization,1992,3(10):2732296\[6\ꆡ]GuptaB,HeywoodJS,:Aspatialmodelwithdeliveredpricing[J\].InternationalJournalofIndustrialOrganization,1995,7(13):3272334\[7\ꆡ]’sstabilityincompetition[J\].InternationalJournalofIndustrialOrganization,1995,10(13):89293\[8\ꆡ][J\].InternationalJournalofIndustrialOrganization,2000,1(18):9652974\[9\ꆡ][A\].NormanJ,[C\].NewYork:EdwardElgarPublishingLtd.,
뗚3웚ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ닜붨뗈:웧쫓탔뚨볛쿂뗄솽뷗뛎쮮욽닮틬쒣탍ꆪ61ꆪ\[10\ꆡ][J\].EconomicsLetters,1999,2(62):43252\[11\ꆡ][M\].NewYork:MITPress,\[12\ꆡ]TabuchiT,[J\].InternationalJournalofIndustrialOrgani2zation,1995,5(13):2132227\[13\ꆡ][J\].RegionalScienceandUrbanEconomics,1999,3(29):6172631\[14\ꆡ]ThisseJF,[J\].AmericanEconomicReview,1988,9(78):1222137Two-stagehorizontaldifferentiationmodelwithdiscriminatorypricingCAOYun2jian,GUXin2yiCollegeofCommerce,UniversityofShanghaiforScienceandTechnology,Shanghai200031,ChinaAbstract:ꆡIntraditionalmicroeconomicstheory,,thefirmshavemarketpowersintheirownproducts,,,onthebasisofdifferentconsumer’’:ꆡhorizontaldifferentiation;Hotellingmodel;discriminatorypricing;duopoly
