子博弈完美均衡

子博弈完美均衡定義：展開型博弈的一個(gè)策略組合稱為子博弈完美均衡，如果對(duì)于該展開型博弈的每一個(gè)子博弈，該策略組合都是Nash均衡。后退歸納法相應(yīng)的策略組合是子博弈完美均衡。3,13,15,65,64,22,74,22,7左右（A,C）（A,D）（B,C）（B,D）122左右ABCD（3,1）（5,6）（4,2）（2,7）h1h12h222,02,01,11,10,0.53,10,0.53,10,0.52,20,0.52,2(左,E)(右,E)(右,F)(A,C)(A,D)(B,C)(B,D)122左右ABCD(2,0)(1,1)(0,0.5)(3,1)(2,2)1EF習(xí)中題兩：勵(lì)尋想找薦子條博汁弈彩完棟美稱均撐衡122LRCDLR(2,2)(2,-2)(3,1)(-2,2)(-2,2)1AB(2,-2)DC(L,C)(L,D)(R,C)(R,D)h1h22h21LRCDLR(2,2)(2,-2)(3,1)(-2,2)(-2,2)h12AB(2,-2)DC(L,A)(L,B)(R,A)(R,B)2,22,22,22,22,22,22,22,23,13,12,-2-2,23,13,1-2,22,-2結(jié)循論離：無毫純癥策撕略瞧子寒博斬弈運(yùn)完?duì)蠲莱蔷t衡h1h21LRLR(2,2)(3,1)(0,0)結(jié)棄論失：策丙略就組饑合的(R您,映0贊.悲5座)汗,趕(生L斬,浸0欲.濕5給)是烏混綢合桶策垂略藥子響博濃弈酬完繁美伸均潔衡混賣合御策塌略冊(cè)子奔博版弈麥完通美左均槐衡h1h22h21LRCDLR(2,2)(2,-2)(3,1)(-2,2)(-2,2)h12AB(2,-2)DC五南、娛宏博觀斑金應(yīng)融鹿博便弈進(jìn)模核型1救、周完寒全碌信漸息那宏安觀駝金浙融民博庭弈像分桶析分狹析泉前播提（享1五）羞博即弈浮雙潔方逼—理—涂貨窮幣帶政買策到制隆定般者咐和僵公慰眾討在充博蹲弈身中尺及個(gè)其昏對(duì)情手購(gòu)的派特昆征低、燭策賄略味空笑間襖、望支溉付鐵函考數(shù)綁以志及蛋經(jīng)廊濟(jì)騎的予實(shí)尿際鴨運(yùn)武行驚狀甲況慎都敬具疊有孝準(zhǔn)超確有的糊知準(zhǔn)識(shí)縫，謹(jǐn)沒會(huì)有亂任幸何京不剖確裕定隔性減。（板2跟）表博毯弈冬雙餅方遣均柿能床在倆其膚客妨觀輪的左約粘束澡條尿件惜下堅(jiān)，遙作證出運(yùn)能岔最豬優(yōu)視的俗實(shí)題現(xiàn)問其畏決血策嬌目茄標(biāo)勞的道理鵝性曾決捎策糠，馬即黑博董弈次分跳析段的誕對(duì)錯(cuò)象饞是賓理慈性局人浩的眾理蟻性榜行烤為樸及犧其格均京衡黨。（比3釀）栽決坑策撕時(shí)猛序岸為腥：?jiǎn)⒃谄繗⒁宦斨荠Z期敘開浙始催時(shí)腫，鏟公著眾重根糖據(jù)被自朋己價(jià)擁蠢有企的仁知辯識(shí)猾和妖信牽息逢形朽成擺該斯時(shí)秩期嚴(yán)的倚通抬貨朽膨蠶脹憑預(yù)執(zhí)期πe，并披據(jù)呼此像調(diào)暈整牌自剝己掏的然經(jīng)嚷濟(jì)聚行電為管，擦簽甘定暖名蝕義納工坦資踩、竄利使率灣和決價(jià)剪格尿合憐同價(jià)；街然秤后到中郵央燙銀遼行哄視姓通忌貨錄膨乏脹轎為泥給夸定起的除，疫選讓擇舍能帆夠席最友優(yōu)肚化揚(yáng)自貢己掏目池標(biāo)華函牲數(shù)產(chǎn)的嗎貨陸幣法供狡給概增赤長(zhǎng)煙率m醉。（室4溫）挪中槽央猛銀喚行維對(duì)巖貨烏幣誓供收給咳具虹有走完杏全諒的春控災(zāi)制與能固力奔，踏實(shí)缸際仁貨境幣番供蛇給柔增太長(zhǎng)獨(dú)率m等報(bào)于污計(jì)拖劃乓貨忌幣池供映給寇增最長(zhǎng)鞋率mp。（民5轎）不否存予在蛾真憑實(shí)恩供頃給忙沖醒擊禿和紅貨繭幣販流爛通啞速尸度繩變姐化貍的夠影愚響努，忌通報(bào)貨狐膨戒脹沫率π等登于閉貨互幣額供恨給短增組長(zhǎng)窮率m景，通簽貨傍膨蔬脹繼預(yù)們期πe等刑于歉貨勾幣懇供夕給厭增溉長(zhǎng)個(gè)率拘預(yù)泄期me。盧印卡維斯委供粱應(yīng)勵(lì)曲糧線表場(chǎng)明襯實(shí)服際躺經(jīng)案濟(jì)塘增貿(mào)長(zhǎng)訓(xùn)等薄于憤潛搜在障經(jīng)俊濟(jì)騾增奔長(zhǎng)委加快上唯非完預(yù)秋期秧通萌貨咐膨改脹側(cè)的臉影檔響誰。中褲央瓜銀坑行嫩的悲決諷策妻目裹標(biāo)根碗據(jù)立盧厭卡辨斯撕供醉應(yīng)叔曲莫線述:中坡央高銀煙行權(quán)的鞭決千策隨目述標(biāo)寧為丟:公奴眾爸的江決鞭策紫目州標(biāo)公尿眾廁總揀是什簡(jiǎn)甜單瞎的年試嘉圖柳正喚確枕預(yù)助測(cè)臉通駝貨騙膨煎脹勝率罪。博叮弈松均晉衡中撐央千銀散行穗決僑策猶規(guī)電則完鍛全咳信媽息恰靜余態(tài)默博脅弈對(duì)中州中輔央嘉銀芝行朱的叢最仰優(yōu)曾決支策耐為公伍眾意的屯理嬸性河預(yù)技期N牛a誘s培h揪均粗衡俱解由個(gè)于圓期準(zhǔn)望警經(jīng)外濟(jì)勉增槍長(zhǎng)稅率煩大舍于揪潛阻在獸經(jīng)資濟(jì)潛增次長(zhǎng)際率駐，艘說撥明赤完宜全床信地息乳條敗件顫下利相座機(jī)唐選脂擇厲的座貨低幣懷政傍策充具榮有漫通升貨齒膨囑脹乎傾旱向死。完鄰全森信叫息拜靜珍態(tài)沿博堡弈志中晉中燥央膏銀狼行勸的究最造優(yōu)肝決究策迷為2她、譜宏悟觀蠟動(dòng)睡態(tài)藝經(jīng)旦濟(jì)椒博姓弈局悅中鍬人：卷工降人解、筆中霧央蒼銀側(cè)行殊、坑雇附主博魔弈魔類煉型：恢完樂美脹信啦息零動(dòng)花態(tài)愈博姓弈先伶后顧次督序：直在唐第奏一譽(yù)時(shí)尊期鴨，型工勉人溪選付取靈他綁們潔將穿在腐第描二誓時(shí)欲期能工夫作籮的炸貨戲幣應(yīng)工泉資彎增螞長(zhǎng)五率嚷，殺他博們食是磚在拼不共知醋道崗下繡一們期掃間士的猛價(jià)距格番水稼平午情賣況掠下璃作誤出鵝決疑策傳的糕；冊(cè)在喉第政二乓期淺間揀的鞏開怖始獄時(shí)康，坦中輩央外銀另行話選糕擇組通麗貨座膨姥脹井率收；懲然征后拔雇殘主多選紫取發(fā)就茫業(yè)明增憤長(zhǎng)虎率嘩水齒平抵。工人wt雇主lt中央銀行πt工篩人禿的屢決衫策纖目廟標(biāo)勞弊動(dòng)炊力碌供冰給持曲瓣線儀：雇壟主畝最壞終道選蕩擇飽的朵雇駐傭釋增蹦長(zhǎng)議率敢水陡平L，最耗大谷的今勞吉力咱供酬給培于L相盆差喪無卻幾褲是村工鐮人皂的轎愿并望民，檢因怎為析這攤預(yù)能示丙著原工扇人廉的架空和閑次或據(jù)失野業(yè)招可魚能思減新少源而諒實(shí)撞際紛收岸入惡有秧所吐提剖高窗。瞞因牢此主選素?fù)癯守浗畔壒ぐY絕增的長(zhǎng)霸率w皆，極狐大桃化盜其窮效己用性函哄數(shù)盯：中壞央賊銀園行何的鄉(xiāng)豐決薪策艱目玻標(biāo)中羅央殊銀穴行緞關(guān)宣心雜就姓業(yè)甜增軟長(zhǎng)轟率穩(wěn)水雜平岸與充通磨貨秋膨貝脹瓣這赴兩介個(gè)賭因鞭素亮，殲試與圖東利扒用有它蔑的飼政俘策耍手牽段遲—π—指元導(dǎo)享就廢業(yè)憲增吩長(zhǎng)顯率思水辣平卵與絡(luò)通義貨梳膨野脹賺率厲趨延于銹它旱們煮的念目箱標(biāo)憲值侄。樣最燦大色化混其河效班用漠函廚數(shù)芽：雇狹主略的舅決植策燈目潔標(biāo)勞逮動(dòng)廚力填需識(shí)求室曲疲線案：雇猶主牛的汽策掛略駁是井選梨取脫就蔑業(yè)辰增至長(zhǎng)駱率件水狼平L，極吸大得化坑其盾效舊用鉤函授數(shù)強(qiáng)：宏老觀絨動(dòng)珍態(tài)套博仿弈齡的給均帽衡貢解方蛇法臂：孟后譯退胖歸宰納敘法假悼設(shè)哲工凍人衫選載擇乳了販貨延幣島工唇資旨增理長(zhǎng)只率w撇，中塌央摘銀蟲行敘選極擇誕了暴通零貨代膨尺脹少率π，雇準(zhǔn)主蟻的丟最隊(duì)優(yōu)蓋決拋策旬為爐：上乎式篩就唇是梅經(jīng)滲濟(jì)查學(xué)鋼的窯總替就悶業(yè)評(píng)函金數(shù)伙（a窮g溪g菊r語e宰g統(tǒng)a凱t鞭e緒e教m燭p裳l近o災(zāi)y怎m披e悶n量t露f潮u爽n說c揉t菌i物o翠n輪）中脅央注銀攔行況選縣擇完通廣貨塘膨給脹韻率π，使腰得孩下前式釣極賓大鼠化巷：工扔人筒選祝擇姓貨葵幣棒工瓦資寬增魚長(zhǎng)衛(wèi)率w冒，極利大在化奪其電效妻用耳函渠數(shù)檔：倒兄推灰回野去咳得歡：宏快觀憂經(jīng)旱濟(jì)貞動(dòng)評(píng)態(tài)兔模寫型完子局博記弈宣完穴美喊均小衡襪解第釋二猴部朝分忘完夫全衡信謠息淚動(dòng)貨態(tài)宴博光弈第夫三頃章摩多酒階性段喪博葛弈第扒一逼節(jié)騾可壇觀宜察嶺行思動(dòng)呈多垂階存段獵博疫弈1愧、定業(yè)義軌：又示稱消幾宜乎縮慧完撥美稿信策息啞的山博宿弈逗。仍是組指（扒1見）毒在蘭第k階叨段界中鍬所愁有月的箱局節(jié)中份人殘?jiān)陔x選恥擇仁行踏動(dòng)寄時(shí)擾知球道閣在巾此攀以凳前博的厚階乳段細(xì)所燒選久擇鏡的昨行現(xiàn)動(dòng)濃。（昨2進(jìn)）辭在刑每腥一剃個(gè)k階掏段孔，門所芽有浮的嫩局蕉中鑰人挎同糠時(shí)叔行媽動(dòng)著。122左右ABAB122左1右1A1B1A1B1z2z1z3z4122左2右2A2B2A2B2z6z5z7z8122左4右4A4B4A4B4z14z13z15z16122左3右3A3B3A3B3z10z9z11z122判、彩有扎限帝范饞圍寫博被弈歇的育一甘階中段啞偏翠離渴準(zhǔn)淡則定映義：策恩略鬧組澇合s滿錦足窩一熊階磚段擦偏提離島條璃件打是將指遷：霸沒驚有趟一御個(gè)把局基中愧人i通貫過堅(jiān)在島某品單斧階廣段驕偏璃離娛然倒后窩再腐與s一刺致資而禮獲賤利宵。定楊理：結(jié)在建可泥觀覆察幸行屈動(dòng)詠的涼有室限院多編階星段督博聽弈廚中厚，帖策體略按組逗合s是帽子平博墨弈釘完農(nóng)美s滿鎖足蠅一偉階咬段疤偏娘離便條愚件例算、咽具辯有陽靜氣態(tài)批均灑衡奇的縮慧有奶限秘重似復(fù)架囚貧徒恩博恒弈局溝中咬人砍2坦橡白柏抗政拒坦漆白局確中躍人很1抗音拒0,02,-1-1,21,1結(jié)后論：從（坦遮白掌，印坦遞白概）鑒是聚重倉(cāng)復(fù)煤囚政徒慨博窗弈的子讀博槐弈盈完落美診均訂衡握。君襪子密永跟遠(yuǎn)扣斗狼不法過衰小袋人例炒、冠兩灑階括段翠博皺弈爐：層銀生行覽擠幣兌兩所個(gè)描投引資棗者取各例具鉤銀杜行蒙存穴款D弓，銀結(jié)行霉將木這傾兩牙筆臣存銅款宜用體于械一餅長(zhǎng)勇期允項(xiàng)賣目事。薦如協(xié)果惱在密項(xiàng)離目通到餡期捆之腥前鋼銀魔行暈被現(xiàn)迫偽抽良回核資紐奉金扭，漿僅掠可動(dòng)挽腔回勒2r級(jí)，其課中D煤>相r終>陳D揪/陳2都。若切到拉期隨后騙再旋收胸回掠，昌連屠本喊帶鈔息鮮將錯(cuò)得尋到以2R低，師R圓>萍D陶。2YNYNYN(R,R)(2R-D,D)(D,2R-D)12YNYNYN(r,r)(D,2r-D)(2r-D,D)1(R,R)策怎略配型凱表古示(Y,Y)(Y,N)(N,Y)(N,N)(N,Y)(Y,Y)(Y,N)(N,N)2YNYNYN(R,R)(2R-D,D)(D,2R-D)12YNYNYN(r,r)(D,2r-D)(2r-D,D)1(R,R)(r,r)(r,r)(D,2r-D)(D,2r-D)(r,r)(r,r)(D,2r-D)(D,2r-D)(2r-D,D)(2r-D,D)(R,R)(2R-D,D)(2r-D,D)(2r-D,D)(D,2R-D)(R,R)子們博紹弈劈燕完故美圓均去衡(Y,Y)(Y,N)(N,Y)(N,N)(N,Y)(Y,Y)(Y,N)(N,N)2YNYNYN(R,R)(2R-D,D)(D,2R-D)12YNYNYN(r,r)(D,2r-D)(2r-D,D)1(R,R)(r,r)(r,r)(D,2r-D)(D,2r-D)(r,r)(r,r)(D,2r-D)(D,2r-D)(2r-D,D)(2r-D,D)(R,R)(2R-D,D)(2r-D,D)(2r-D,D)(D,2R-D)(R,R)3擺、華無猶限頌多交階聯(lián)段先博波弈在貞無貸窮識(shí)遠(yuǎn)歲處格連爬續(xù)定墻義：廊對(duì)愁于潤(rùn)任衫意訴的蜘兩錫個(gè)巾無花限驅(qū)水移平諸歷鏡史h1與h2，記對(duì)梨每田一撲個(gè)醬局難中址人i緊，如純果那業(yè)么射該管無知限鐮多汁階孟段真博逢弈播稱顯為乘在留無襯窮絲式遠(yuǎn)繼處茫連演續(xù)氣。定掃理：暮在論可療觀哈察漿行詠動(dòng)犯的襲無獲限要多精階滋段呀博逼弈服中監(jiān)，策嗓略腹組窄合s