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經(jīng)濟(jì)博弈論思想的產(chǎn)生與發(fā)展一、本文概述Overviewofthisarticle本文旨在探討經(jīng)濟(jì)博弈論思想的產(chǎn)生與發(fā)展,通過對博弈論的歷史背景、理論起源、主要發(fā)展階段以及其在現(xiàn)代經(jīng)濟(jì)學(xué)中的應(yīng)用和影響進(jìn)行深入分析,揭示博弈論在經(jīng)濟(jì)科學(xué)中的重要地位。文章首先簡要介紹了博弈論的基本概念和研究范疇,然后從經(jīng)濟(jì)學(xué)、數(shù)學(xué)、心理學(xué)等多學(xué)科的角度,闡述了博弈論思想的起源和發(fā)展過程。接著,文章重點(diǎn)分析了博弈論的主要理論體系和經(jīng)典模型,如零和博弈、非零和博弈、合作博弈與非合作博弈等,以及博弈論在產(chǎn)業(yè)組織、市場競爭、國際貿(mào)易等領(lǐng)域的具體應(yīng)用。文章探討了博弈論在現(xiàn)代經(jīng)濟(jì)學(xué)中的發(fā)展趨勢和未來展望,強(qiáng)調(diào)了博弈論在解決現(xiàn)實(shí)經(jīng)濟(jì)問題中的重要作用。通過本文的論述,讀者可以全面了解經(jīng)濟(jì)博弈論思想的產(chǎn)生與發(fā)展歷程,以及博弈論在現(xiàn)代經(jīng)濟(jì)學(xué)中的應(yīng)用和影響。Thisarticleaimstoexploretheemergenceanddevelopmentofeconomicgametheory.Throughin-depthanalysisofthehistoricalbackground,theoreticalorigins,maindevelopmentstages,anditsapplicationandinfluenceinmoderneconomics,itrevealstheimportantpositionofgametheoryineconomicscience.Thearticlefirstbrieflyintroducesthebasicconceptsandresearchcategoriesofgametheory,andthenelaboratesontheoriginanddevelopmentprocessofgametheoryideasfromtheperspectivesofmultipledisciplinessuchaseconomics,mathematics,andpsychology.Next,thearticlefocusesonanalyzingthemaintheoreticalsystemsandclassicalmodelsofgametheory,suchaszerosumgames,nonzerosumgames,cooperativegamesandnoncooperativegames,aswellasthespecificapplicationsofgametheoryinindustrialorganization,marketcompetition,internationaltrade,andotherfields.Thearticleexploresthedevelopmenttrendsandfutureprospectsofgametheoryinmoderneconomics,emphasizingtheimportantroleofgametheoryinsolvingrealeconomicproblems.Throughthediscussioninthisarticle,readerscancomprehensivelyunderstandtheemergenceanddevelopmentprocessofeconomicgametheory,aswellastheapplicationandinfluenceofgametheoryinmoderneconomics.二、博弈論的基本概念TheBasicConceptsofGameTheory博弈論,又稱對策論或賽局理論,是現(xiàn)代數(shù)學(xué)的一個(gè)新分支,也是運(yùn)籌學(xué)的一個(gè)重要學(xué)科。它主要研究游戲中的決策問題,分析主體如何在一定的規(guī)則下,根據(jù)對手的可能策略來制定自己的最優(yōu)策略,從而達(dá)到自身利益的最大化。博弈論的基本概念包括參與者、策略、得益、均衡等。Gametheory,alsoknownasgametheoryorgametheory,isanewbranchofmodernmathematicsandanimportantdisciplineinoperationsresearch.Itmainlystudiesdecision-makingproblemsingames,analyzeshowthesubjectformulatesitsoptimalstrategybasedonthepossiblestrategiesoftheopponentundercertainrules,inordertomaximizeitsowninterests.Thebasicconceptsofgametheoryincludeparticipants,strategies,benefits,equilibrium,etc.參與者,也稱為局中人或玩家,是博弈的直接參與者,他們可以是個(gè)人、團(tuán)體或組織,根據(jù)博弈的性質(zhì)和目的而有所不同。每個(gè)參與者都有自己的目標(biāo)和利益,他們的決策會(huì)影響到整個(gè)博弈的結(jié)果。Participants,alsoknownasinsidersorplayers,aredirectparticipantsinagame.Theycanbeindividuals,groups,ororganizations,dependingonthenatureandpurposeofthegame.Eachparticipanthastheirowngoalsandinterests,andtheirdecisionswillaffecttheoutcomeoftheentiregame.策略,是參與者在博弈中可能采取的行動(dòng)或選擇的方案。每個(gè)參與者都有一組可選的策略,這些策略的選擇取決于參與者的目標(biāo)、自身的條件以及對手的可能行為。Strategyistheactionsoroptionsthatparticipantsmaytakeorchooseinagame.Eachparticipanthasasetofoptionalstrategies,andthechoiceofthesestrategiesdependsontheparticipant'sgoals,theirownconditions,andthepossiblebehavioroftheiropponents.得益,也稱為支付函數(shù)或效用函數(shù),表示參與者在博弈中獲得的利益或效用。每個(gè)參與者的得益都取決于他自己的策略和對手的策略。得益可以是正值,也可以是負(fù)值,這取決于參與者的目標(biāo)和偏好。Benefit,alsoknownaspaymentfunctionorutilityfunction,representsthebenefitsorutilitythatparticipantsgaininthegame.Thebenefitsofeachparticipantdependontheirownstrategyandthestrategiesoftheiropponents.Thebenefitscanbepositiveornegative,dependingonthegoalsandpreferencesoftheparticipants.均衡,是博弈論中的一個(gè)核心概念,它表示所有參與者都采取最優(yōu)策略的一種狀態(tài)。在均衡狀態(tài)下,任何參與者都無法通過改變策略來增加自己的得益,因此均衡是博弈的一個(gè)穩(wěn)定狀態(tài)。根據(jù)博弈的不同類型和條件,均衡可以是純策略均衡、混合策略均衡或納什均衡等。Equilibriumisacoreconceptingametheory,whichrepresentsastateinwhichallparticipantsadopttheoptimalstrategy.Inanequilibriumstate,noparticipantcanincreasetheirownbenefitsbychangingstrategies,thereforeequilibriumisastablestateofthegame.Accordingtodifferenttypesandconditionsofgames,equilibriumcanbepurestrategyequilibrium,mixedstrategyequilibrium,orNashequilibrium,etc.博弈論的應(yīng)用非常廣泛,不僅在經(jīng)濟(jì)學(xué)、管理學(xué)、政治學(xué)等領(lǐng)域有重要應(yīng)用,還廣泛應(yīng)用于生物學(xué)、心理學(xué)、計(jì)算機(jī)科學(xué)等多個(gè)學(xué)科。通過博弈論的研究,我們可以更好地理解主體間的相互作用和影響,為決策提供科學(xué)的依據(jù)。Gametheoryhasawiderangeofapplications,notonlyinthefieldsofeconomics,management,andpoliticalscience,butalsoinmultipledisciplinessuchasbiology,psychology,andcomputerscience.Throughthestudyofgametheory,wecanbetterunderstandtheinteractionsandinfluencesbetweensubjects,providingscientificbasisfordecision-making.三、博弈論思想的產(chǎn)生Theemergenceofgametheoryideas博弈論思想的產(chǎn)生,可追溯到古代中國的《孫子兵法》和古希臘哲學(xué)家蘇格拉底的對話。然而,真正現(xiàn)代意義上的博弈論思想的誕生,是在19世紀(jì)末至20世紀(jì)初,隨著數(shù)學(xué)和經(jīng)濟(jì)學(xué)的發(fā)展而逐漸形成的。TheemergenceofgametheorycanbetracedbacktothedialoguebetweenSunTzu'sArtofWarinancientChinaandtheGreekphilosopherSocrates.However,thebirthofgametheoryinthetruemodernsensewasgraduallyformedfromthelate19thcenturytotheearly20thcenturywiththedevelopmentofmathematicsandeconomics.在19世紀(jì)末,法國經(jīng)濟(jì)學(xué)家古斯塔夫·庫爾諾在他的著作《財(cái)富理論的數(shù)學(xué)原理》中,首次提出了“博弈”的概念,并將其與經(jīng)濟(jì)理論相結(jié)合。他通過數(shù)學(xué)模型分析了市場競爭中的參與者如何根據(jù)自己的策略和預(yù)期對手的反應(yīng)來做出決策。這一思想為后來的博弈論研究奠定了基礎(chǔ)。Inthelate19thcentury,FrencheconomistGustaveCournotfirstproposedtheconceptof"game"inhisbook"MathematicalPrinciplesofWealthTheory"andcombineditwitheconomictheory.Heanalyzedhowparticipantsinmarketcompetitionmakedecisionsbasedontheirownstrategiesandexpectedreactionsfromcompetitorsthroughmathematicalmodels.Thisidealaidthefoundationforlatergametheoryresearch.隨后,美國數(shù)學(xué)家約翰·福布斯·納什在20世紀(jì)40年代提出了著名的“納什均衡”理論,標(biāo)志著現(xiàn)代博弈論的誕生。納什均衡理論指出,在一個(gè)博弈中,如果每個(gè)參與者都選擇了最優(yōu)策略,那么這個(gè)博弈就會(huì)達(dá)到一個(gè)均衡狀態(tài),即沒有任何參與者可以通過改變策略來獲得更好的結(jié)果。這一理論為博弈論的發(fā)展奠定了堅(jiān)實(shí)的數(shù)學(xué)基礎(chǔ)。Subsequently,AmericanmathematicianJohnForbesNashproposedthefamous"Nashequilibrium"theoryinthe1940s,markingthebirthofmoderngametheory.Nashequilibriumtheorystatesthatinagame,ifeachparticipantchoosestheoptimalstrategy,thegamewillreachanequilibriumstate,wherenoparticipantcanachievebetterresultsbychangingtheirstrategy.Thistheorylaidasolidmathematicalfoundationforthedevelopmentofgametheory.除了納什之外,還有其他經(jīng)濟(jì)學(xué)家和數(shù)學(xué)家對博弈論的發(fā)展做出了重要貢獻(xiàn)。例如,德國經(jīng)濟(jì)學(xué)家奧斯卡·摩根斯坦和美國經(jīng)濟(jì)學(xué)家約翰·海薩尼分別提出了“擴(kuò)展式博弈”和“不完全信息博弈”的概念,進(jìn)一步完善了博弈論的理論體系。InadditiontoNash,othereconomistsandmathematicianshavemadesignificantcontributionstothedevelopmentofgametheory.Forexample,GermaneconomistOscarMorgensteinandAmericaneconomistJohnHaysanyrespectivelyproposedtheconceptsof"extendedgame"and"incompleteinformationgame",furtherimprovingthetheoreticalsystemofgametheory.博弈論思想的產(chǎn)生是一個(gè)漫長而復(fù)雜的過程,它涉及到數(shù)學(xué)、經(jīng)濟(jì)學(xué)、哲學(xué)等多個(gè)學(xué)科的知識。隨著這些學(xué)科的不斷發(fā)展,博弈論也逐漸成為了一個(gè)獨(dú)立而成熟的學(xué)科領(lǐng)域,為經(jīng)濟(jì)學(xué)和其他社會(huì)科學(xué)的研究提供了重要的理論工具。Theemergenceofgametheoryisalongandcomplexprocessthatinvolvesknowledgefrommultipledisciplinessuchasmathematics,economics,andphilosophy.Withthecontinuousdevelopmentofthesedisciplines,gametheoryhasgraduallybecomeanindependentandmaturefieldofstudy,providingimportanttheoreticaltoolsfortheresearchofeconomicsandothersocialsciences.四、博弈論思想的發(fā)展TheDevelopmentofGameTheoryThought博弈論思想自其誕生以來,經(jīng)歷了漫長而豐富的發(fā)展過程。從最初的樸素博弈理念,到后來的系統(tǒng)理論構(gòu)建,再到現(xiàn)代的廣泛應(yīng)用,博弈論逐漸展現(xiàn)出其強(qiáng)大的解釋力和預(yù)測力。Theideaofgametheoryhasgonethroughalongandrichdevelopmentprocesssinceitsinception.Fromtheinitialnaivegametheory,tothelaterconstructionofsystemtheory,andthentothewidespreadapplicationinmoderntimes,gametheoryhasgraduallydemonstrateditsstrongexplanatoryandpredictivepower.早期博弈論的發(fā)展主要圍繞著零和博弈和非零和博弈的區(qū)分。零和博弈,即博弈中各方的得益總和為零,這一概念最早由法國數(shù)學(xué)家布爾巴基提出。而非零和博弈,即博弈中各方的得益總和不為零,這一概念則是由美國數(shù)學(xué)家納什在其著名的論文《非合作博弈》中首次提出。這兩種博弈類型的區(qū)分,為后續(xù)博弈論的發(fā)展奠定了堅(jiān)實(shí)的基礎(chǔ)。Thedevelopmentofearlygametheorymainlyrevolvedaroundthedistinctionbetweenzerosumgamesandnon-zerosumgames.Theconceptofzerosumgame,inwhichthesumofbenefitsforallpartiesinthegameiszero,wasfirstproposedbyFrenchmathematicianBurbaki.Theconceptofnonzerosumgame,whichmeansthatthesumofbenefitsforallpartiesinthegameisnotzero,wasfirstproposedbyAmericanmathematicianNashinhisfamouspaper"NoncooperativeGame".Thedistinctionbetweenthesetwotypesofgameshaslaidasolidfoundationforthedevelopmentofsubsequentgametheory.隨著研究的深入,博弈論逐漸從靜態(tài)博弈發(fā)展到動(dòng)態(tài)博弈。靜態(tài)博弈是指博弈各方在做出決策時(shí),無法觀察到其他方的決策過程,而只能根據(jù)其他方的決策結(jié)果來做出自己的決策。而動(dòng)態(tài)博弈則是指博弈各方在做出決策時(shí),可以觀察到其他方的決策過程,從而可以根據(jù)其他方的決策來調(diào)整自己的決策。這一轉(zhuǎn)變,使得博弈論能夠更好地描述現(xiàn)實(shí)生活中的許多復(fù)雜情境。Asresearchdeepens,gametheorygraduallydevelopsfromstaticgamestodynamicgames.Staticgamereferstothesituationwhereallpartiesinthegameareunabletoobservethedecision-makingprocessofotherpartieswhenmakingdecisions,andcanonlymaketheirowndecisionsbasedonthedecision-makingresultsofotherparties.Dynamicgamereferstothesituationwhereallpartiesinthegamecanobservethedecision-makingprocessofothersandadjusttheirowndecisionsbasedontheirdecisions.Thistransformationenablesgametheorytobetterdescribemanycomplexsituationsinreallife.博弈論的應(yīng)用范圍也在不斷擴(kuò)大。從最初的經(jīng)濟(jì)學(xué)領(lǐng)域,博弈論已經(jīng)擴(kuò)展到社會(huì)學(xué)、政治學(xué)、心理學(xué)、生態(tài)學(xué)等多個(gè)領(lǐng)域。在這些領(lǐng)域中,博弈論都展現(xiàn)出了強(qiáng)大的解釋力和預(yù)測力,為我們理解復(fù)雜的社會(huì)現(xiàn)象提供了新的視角和方法。Theapplicationscopeofgametheoryisalsoconstantlyexpanding.Fromtheinitialfieldofeconomics,gametheoryhasexpandedtomultiplefieldssuchassociology,politicalscience,psychology,andecology.Inthesefields,gametheoryhasdemonstratedstrongexplanatoryandpredictivepower,providinguswithnewperspectivesandmethodsforunderstandingcomplexsocialphenomena.未來,隨著、大數(shù)據(jù)等技術(shù)的發(fā)展,博弈論的應(yīng)用前景將更加廣闊。我們可以期待,博弈論將在更多領(lǐng)域發(fā)揮其獨(dú)特的作用,為人類社會(huì)的發(fā)展做出更大的貢獻(xiàn)。Inthefuture,withthedevelopmentoftechnologiessuchasbigdata,theapplicationprospectsofgametheorywillbeevenbroader.Wecanexpectthatgametheorywillplayitsuniqueroleinmorefieldsandmakegreatercontributionstothedevelopmentofhumansociety.五、博弈論對現(xiàn)實(shí)經(jīng)濟(jì)的影響TheImpactofGameTheoryontheRealEconomy博弈論作為經(jīng)濟(jì)學(xué)的重要分支,其理論和思想對現(xiàn)實(shí)經(jīng)濟(jì)產(chǎn)生了深遠(yuǎn)的影響。博弈論不僅為經(jīng)濟(jì)學(xué)家提供了理解和分析經(jīng)濟(jì)現(xiàn)象的新視角,也為政策制定者提供了決策的新工具。Gametheory,asanimportantbranchofeconomics,hashadaprofoundimpactontherealeconomyintermsoftheoryandideas.Gametheorynotonlyprovideseconomistswithanewperspectivetounderstandandanalyzeeconomicphenomena,butalsoprovidespolicymakerswithnewtoolsfordecision-making.博弈論在微觀經(jīng)濟(jì)學(xué)中發(fā)揮了重要作用。在市場競爭中,企業(yè)和消費(fèi)者都面臨著各種策略選擇。博弈論通過分析不同參與者的策略互動(dòng),揭示了市場競爭的實(shí)質(zhì)和結(jié)果。這不僅幫助企業(yè)制定更明智的競爭策略,也幫助消費(fèi)者理解市場價(jià)格和數(shù)量的決定過程。Gametheoryhasplayedanimportantroleinmicroeconomics.Inmarketcompetition,bothenterprisesandconsumersfacevariousstrategicchoices.Gametheoryrevealstheessenceandresultsofmarketcompetitionbyanalyzingthestrategicinteractionsofdifferentparticipants.Thisnotonlyhelpsbusinessesdevelopwisercompetitivestrategies,butalsohelpsconsumersunderstandthedecision-makingprocessofmarketpricesandquantities.博弈論在宏觀經(jīng)濟(jì)學(xué)和國際經(jīng)濟(jì)學(xué)中也有廣泛應(yīng)用。例如,在貨幣政策、財(cái)政政策和國際貿(mào)易等領(lǐng)域,博弈論為政策制定者提供了分析不同政策選項(xiàng)及其影響的理論框架。通過博弈論的分析,政策制定者可以更好地預(yù)測和應(yīng)對其他經(jīng)濟(jì)體的反應(yīng),從而制定出更有效的經(jīng)濟(jì)政策。Gametheoryisalsowidelyusedinmacroeconomicsandinternationaleconomics.Forexample,inthefieldsofmonetarypolicy,fiscalpolicy,andinternationaltrade,gametheoryprovidespolicymakerswithatheoreticalframeworkforanalyzingdifferentpolicyoptionsandtheirimpacts.Throughgametheoryanalysis,policymakerscanbetterpredictandrespondtothereactionsofothereconomies,therebyformulatingmoreeffectiveeconomicpolicies.博弈論還在產(chǎn)業(yè)組織、勞動(dòng)經(jīng)濟(jì)學(xué)、環(huán)境經(jīng)濟(jì)學(xué)等多個(gè)經(jīng)濟(jì)學(xué)領(lǐng)域產(chǎn)生了重要影響。博弈論的思想和方法為這些領(lǐng)域的研究提供了新的視角和工具,推動(dòng)了經(jīng)濟(jì)學(xué)理論的深入發(fā)展。Gametheoryhasalsohadsignificantimpactsinmultipleeconomicfieldssuchasindustrialorganization,laboreconomics,andenvironmentaleconomics.Theideasandmethodsofgametheoryprovidenewperspectivesandtoolsforresearchinthesefields,promotingthein-depthdevelopmentofeconomictheory.然而,值得注意的是,博弈論并不能完全解決現(xiàn)實(shí)經(jīng)濟(jì)中的所有問題?,F(xiàn)實(shí)世界中的經(jīng)濟(jì)現(xiàn)象往往比博弈論模型所描述的更為復(fù)雜。博弈論的分析結(jié)果也受到參與者理性、信息完全性等多個(gè)假設(shè)條件的限制。因此,在應(yīng)用博弈論分析現(xiàn)實(shí)經(jīng)濟(jì)問題時(shí),需要謹(jǐn)慎對待其結(jié)論,并結(jié)合實(shí)際情況進(jìn)行具體分析。However,itisworthnotingthatgametheorycannotcompletelysolveallproblemsintherealeconomy.Economicphenomenaintherealworldareoftenmorecomplexthanthosedescribedbygametheorymodels.Theanalysisresultsofgametheoryarealsolimitedbymultipleassumptionssuchasparticipantrationalityandinformationcompleteness.Therefore,whenapplyinggametheorytoanalyzerealeconomicproblems,itisnecessarytoapproachitsconclusionswithcautionandconductspecificanalysisbasedonactualsituations.博弈論作為經(jīng)濟(jì)學(xué)的重要分支,對現(xiàn)實(shí)經(jīng)濟(jì)產(chǎn)生了深遠(yuǎn)的影響。它不僅為經(jīng)濟(jì)學(xué)家提供了理解和分析經(jīng)濟(jì)現(xiàn)象的新視角,也為政策制定者提供了決策的新工具。然而,在應(yīng)用博弈論分析現(xiàn)實(shí)經(jīng)濟(jì)問題時(shí),需要保持謹(jǐn)慎和理性,充分考慮各種實(shí)際因素。Gametheory,asanimportantbranchofeconomics,hashadaprofoundimpactontherealeconomy.Itnotonlyprovideseconomistswithanewperspectivetounderstandandanalyzeeconomicphenomena,butalsoprovidespolicymakerswithnewtoolsfordecision-making.However,whenapplyinggametheorytoanalyzerealeconomicproblems,cautionandrationalityneedtobemaintained,fullyconsideringvariouspracticalfactors.六、結(jié)論Conclusion經(jīng)濟(jì)博弈論,作為一種揭示經(jīng)濟(jì)行為主體間策略互動(dòng)的理論工具,自其產(chǎn)生以來,便在經(jīng)濟(jì)學(xué)的各個(gè)領(lǐng)域產(chǎn)生了深遠(yuǎn)的影響。從最初的零和博弈到非零和博弈,從完全信息博弈到不完全信息博弈,博弈論在經(jīng)濟(jì)學(xué)的應(yīng)用不斷擴(kuò)展和深化,為我們理解經(jīng)濟(jì)現(xiàn)象提供了新的視角。Economicgametheory,asatheoreticaltoolforrevealingstrategicinteractionsbetweeneconomicactors,hashadaprofoundimpactinvariousfieldsofeconomicssinceitsinception.Fromtheinitialzerosumgametononzerosumgame,fromcompleteinformationgametoincompleteinformationgame,theapplicationofgametheoryineconomicscontinuestoexpandanddeepen,providinguswithnewperspectivestounderstandeconomicphenomena.回顧經(jīng)濟(jì)博弈論思想的產(chǎn)生與發(fā)展,我們可以看到其背后是經(jīng)濟(jì)學(xué)、數(shù)學(xué)、心理學(xué)、社會(huì)學(xué)等多學(xué)科的交融與碰撞。在這個(gè)過程中,無數(shù)經(jīng)濟(jì)學(xué)家和學(xué)者的辛勤努力與智慧貢獻(xiàn),推動(dòng)了博弈論從理論到實(shí)踐的不斷深化和拓展。Lookingbackattheemergenceanddevelopmentofeconomicgametheory,wecanseethatbehinditliestheintegrationandcollisionofmultipledisciplinessuchaseconomics,mathematics,psychology,sociology,etc.Inthisprocess,thehardworkandwisecontributionsofcountlesseconomistsandscholarshavepromotedthecontinuousdeepeningandexpansionofgametheoryfromtheorytopractice.當(dāng)前,隨著全球經(jīng)濟(jì)一體化的加速和信息技術(shù)的飛速發(fā)展,經(jīng)濟(jì)博弈論在解決現(xiàn)實(shí)經(jīng)濟(jì)問題中的作用愈發(fā)凸顯。例如,在國際貿(mào)易談判、企業(yè)競爭策略、金融市場穩(wěn)定等方面,博弈論都為我們提供了有力的分析工具。同時(shí),隨著博弈論與其他學(xué)科的進(jìn)一步交叉融合,其在經(jīng)濟(jì)學(xué)領(lǐng)域的應(yīng)用前景將更加廣闊。Currently,withtheaccelerationofglobaleconomicintegrationandtherapiddev

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