Dhameystir weedha soo socota: wuxuu ugu dambeyntii lumiyay horyaalkiisii 1985 kii Garry Kasparov, oo qaabkiisa dagaal ee xeeladeysan uu aad uga duwanaa qaabka booska ee Karpov. Labadooduba waxay la dagaalameen shan ciyaarood oo aad u dhow oo horyaalnimada adduunka ah, Horyaalka Adduunka ee Chess 1984 (si muran badan u dhamaaday natiijo la'aan iyadoo Karpov uu hogaaminayay +5 −3 =40), Horyaalka Adduunka ee Chess 1985 (oo uu Kasparov ku guuleystay horyaalka, 13<unk>11), Horyaalka Adduunka ee Chess 1986 (oo uu si dhib yar ku guuleystay Kasparov, 121⁄2<unk>111⁄2), Horyaalka Adduunka ee Chess 1987 (lagu barbardhigay 12<unk>12, Kasparov oo haysta horyaalka), iyo
Horyaalka Adduunka ee Chess 1990 (mar kale waxaa ku guuleystay Kasparov, 121⁄2 <unk> 111⁄2).