At his strongest in the mid-seventies to early eighties, Hübner participated in many of the elite tournaments of the day, such as Tilburg 1978 and Montreal 1979 (The Tournament of Stars), playing alongside Anatoly Karpov, Mikhail Tal, and Jan Timman.
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Euwe lost some of the battles with the Soviets; for example, in 1973 he accepted the Soviets' demand that Bent Larsen and Robert Hübner, the two strongest non-Soviet contenders (Fischer was now champion), should play in the Leningrad Interzonal tournament rather than the weaker one in Petrópolis.
In many respects, the partnerships that developed were reasonably successful; Korchnoi brushed aside some powerful rival Candidates like Boris Spassky, Robert Hübner and Lev Polugaevsky en route to his two finals with Karpov.