markov paripoorn santulan

markov paripoorn samtol hii khelachya siddhantatil samtol sankalpana aahe. audhyogik sanghatana, sthool arthshastra aanee rajkiy arthvyavasthechya vishleshanat yacha vapar keela gela aahe. heey up-khel paripoorn samtol yaa sankalpaneche vistrut swarupachya khelanmadhye sudharana aahe jyasathi sambandhit sthitichi jaaga olakhali jaau shakate. arthshastradnya jeane tirol aanee erich maskin yanchya 1988 salchya suruvatichya prakashanat hii sandnya prakashit jhaali. 
vyakhya.
vyapak swarupachya khelanmadhye, aanee visheshtah yadruchchik khelanmadhye, markov paripoorn samtol haah pratyek kheladusathi mishra dhoranancha eka sanch aahe joou khaleel nikashanchi purtata karatoh
samamiteey samatolavar laksh kendrit qaraa.
samamiteey khelanmadhye, jevha kheladunkade ranniti aanee krutee sanch asatat jeey ekmekanchya aarshatil pratima asatat, tevha anekada vishleshan samamiteey samatolavar laksh kendrit karate, jithe serve kheladu samaan mishra ranniti khelatat. urvarit khel siddhantapramane, heey donhi kele jaate kaaran heey vishleshanatmakdrushtya shodhane sope aahe aanee kaaran teey asamamit samatolapeksha majboot kendrabindu asalyache manale jaate.
takadicha abhav.
markov paripoorn samtol haah khelatilach chhotya badalanchya sandarbhat sthir nasato. paratavyatil chhotya badalamule markov paripoorn samtol sanchamadhye motha badal houu shakato. yache kaaran asey qee, paratavyavar alp parinam asalelya rajyacha vapar sanket vahoon nenyasathi keela jaau shakato, parantu jarr tyacha itar konatyahi rajyapeksha paratava farak shunyavar aala tarr too tyat villin karane aavashyak aahe, jyamule signal vahoon nenyasathi tyacha vapar karanyachi shakyata door hote. 
udaharane.
yaa samtol sankalpanechya udaharanansathi, jyaa kampanyanni nishchit kharchat mothya pramanat guntavanuk kelee aahe aanee udhyogat pramukh utpadak aahet, jyamule alpaswamya nirman hote, asha companyanmadhil spardhecha vichar qaraa. kheladunna alpavadhimadhye utpadan kshamatechya patalisathi vachanbaddha kele jaate aanee dhorane kimmati nishchit karnyachya tyanchya nirnayanche varnan karatat. nafyache sadhyache savalatichya darat asalele moolya jastit jaast vadhavane, ashee companyanchi uddishte tayar kelee jaatat.
viman bhadyacha khel.
khel eka vishisht margachya vimanachya tikitachi kimmat ektar viman company aii kinwa viman company bii madhye samaan asate. bahudha, donhi viman companyancha kharch agadi sarkha nahee, tasech tyanche vegvegale varanvar uddan karyakram, tyanche pravasi banvinare vegvegale sampark ityadi pahata tyanna samaan magani karyala samore jaave lagat nahee. asha prakare, vastavadi samanya samtol modelmule jawaljawal samaan kimmati milanyachi shakyata nahee. 
donhi viman kampanyanni upkarane, karmchari aanee kayadeshir chaukatit budaleli guntavanuk kelee aahe, asha prakare seva denyas vachanbaddha aahet. kimmati tharvatana teey ekmekanshi "dhoranatmak khel" madhye guntalele kinwa adakale aahet.
eka vishisht margachya tikitachi kimmat nishchit karnyasathi viman companychya khaleel dhoranacha vichar qaraa. kimmat nishchit karnyachya pratyek sandhisathih
heey markov dhoran aahe kaaran teey mageel nirikshananchya itihasavar avalambun nahee. heey "markov pratikriya karya" yaa vyakhyeche samadhan karate kaaran tee itar mahitivar avalambun nasate jee mahasool aanee nafyashi aprasangik asate.
aata asey samaja qee donhi viman kampanya yaa dhoranache nemke palan karatat. pudhe asey gruheet dhara qee pravasi nehmich sarvat swast uddan nivadatat aanee mhanoon jarr viman kampanya vegvegalya kimmatinvar shulk aakartat, tarr joou jaast kimmat aakarto tyala shoonya pravasi midatat. mug jarr pratyek viman company asey gruheet dharate qee dusari viman company yaa dhoranache palan karel, tarr swatahsathi konatehi uchch-paratava paryayi dhoran nahee, mhanje.eae. itar viman companyanchya dhoranala too sarvottam pratisad dett aahe. jarr donhi viman kampanyanni heey dhoran palale, tarr pratyek yogya up-khelat teey eka nash santulan tayar karel, asha prakare eka up-khel-paripoorn nash santulan tayar hoil.
viman utpadanache model tayar karnyasathi markov-paripoorn samtol sankalpana dekhil vaparali gelee aahe, kaaran vegvegalya kampanya tyanchya bhavishyatil nafyache moolyankan karatat aanee maganichya prakashat utpadan anubhavatoon teey kitee shikatil aanee itar kampanya kaay puravu shakatat yache moolyankan karatat.
charcha.
viman kampanya yaa dhorananche aksharshah kinwa achookpane palan karat naheet, parantu viman kampanya anekada agadi samaan kimmat aakartat, asey nirikshan spasht karnyat heey model madat karate, jaree paripoorn nasalelya pratisthapanakshamates nirdisht karnare samanya santulan model samanyatah assa parinam pradan karnar nahee. markov paripoorn samtol model alpabhudharak vyavasthetil maun santhganthavar prakash taknyas aanee naan pahilelya prakaranansathi andaj lavnyas madat karate.
spasht khel-saiddhantik chaukatichi eka takad mhanje samaan kimmaticha parinam tutalyas aanee kevha hoil yabaddal viman companyanchya vartanambaddal andaj lavane aanee vividh samtol sankalpananchya prakashat yaa kimmatichya yuddhancha arth lavane aanee tyanche parikshan karane. aanakhi eka samtol sankalpanechya ulat, maskin aanee tirol asha kimmatichya yuddhanche anubhavjanya vaishishtya olakhatatah markov dhoranatil kimmat yuddhat, "eka company aaplya pratispardhyala shiksha naan denyasathi, [fakt] bajaratil vaataa parat midvanyasathi tyachya kimmatit kapat karate" tarr sarvasadharanpane punaravrutti punaravrutti khelachya chaukatit kimmatit kapat hii hii kheladusathi shiksha asoo shakate. lekhakancha assa dawa aahe qee bajarachya vatyache samarthan heey shikshechya samarthanapeksha anubhavjanya khatyachya jawal aahe aanee mhanoon markov paripoorn samtol sankalpana yaa prakaranat adhik mahitipurn siddha hote.

