Tuhia he haere tonu mo tenei waahanga - Ko ana wikitoria whakataetae pai rawa atu ko te tuatahi i Leipzig 1975, Dubna 1976, Yerevan 1980, Banja Luka 1981, Sochi 1981 me Minsk 1982. Ko ia te toa o te 1978 Soviet Championship (me Mikhail Tal) me te toa o te 1986 Championship. I patua e ia etahi toa o te ao: Ko Vasily Smyslov i te Moscow Spartakiad 1974, Tal i Sochi 1970, me te taitamariki a Garry Kasparov i te 1978 Soviet Championship. Ko Tseshkovsky ano i tata ki te tohu mo nga whakataetae kaitono o te Toa o te Ao i te wa i mutu ai ia i te tuawha i te 1976 Manila Interzonal, kotahi te waahi i raro ake i te waa e hiahiatia ana kia eke ki te waahanga e whai ake nei. I te 27th Chess Olympiad
I te tau 1986, i eke ia ki te 21⁄2/5 hei poari tuarua hei awhina i te roopu USSR ki te wikitoria i te mētara koura.