基于不確定性理論的幾個博弈模型研究.pdf

1、安徽大學(xué)碩士學(xué)位論文基于不確定性理論的幾個博弈模型研究姓名：倪敬能申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：陳華友200911AbstractTheclassicgametheoryisbasedonthefixedpayo凰andthattheplayershavenosubjectivepreferences，buttherearesomelimitationsFirstlythepayo凰call’tbegivenprecisel

2、ybeforegameplaying，becauseofthecomplexityofthegameenvironment，incompleteinformation，thelimitationsofcognitivelevel，andSOonSecondlytheexistenceofthesubjectivepreferencesofplayersisobjectiveandinfluencesthegamingequilibriu

3、mSo，itisnecessarytostudygamewithfuzzypayo魅andplayershavingpreferencesThisthesismainlystudiesmatrixgameanddoublematrixgame，whichbothbasedonfuzzypayo魅andplayershavingpreferencesThemainresultsarelistedbelow1IntroduceT—normo

4、peratoronthebaseoffuzzytheoryanduncertaintytheoryUndertheprincipleofsup—Texpanding，weobtainalgebraicsumandmul邱lieroffuzzynumberandthendefinedthepossibilitynecessaryandsufficientconditions，deducednecessitynecessaryandsuff

5、icientconditionsandcredibilitynecessaryandsufficientconditions2Becausetheplayershavetwomainfactorsintheactualgame：returnsandrisks，weproposetwotypesofpreferencesaccordingtothepreferencerelationoftheplayerstothetwoelements

6、：relativeacquisitivepreferencesandrelativecerebralSimultaneouslyweconsidertheexcellentpropertiesofcredibilitymeasure：ifthecredibilityofthefuzzyeventsis0，theeventwillnothappen；converselyifitscredibilityis1，theeventisinevi

7、tableThus，weusecredibilitytomeasurethepreferencesofplayersWegivefourtypesofcredibilityprogrammingofmatrixgamewi吐lfuzzypayoffsandplayershavingpreferences；andalsogivefourtypesofcredibilityprogrammingofdoublematrixgamewithf