Nyora kupfuurira kweiyi ndima - Jobava akatambira timu yenyika yeGeorgia muChess Olympiad kubvira 2000. Akakunda menduru yegoridhe yomunhu oga muna 2004, achiwana 81⁄2/10 mapoinzi. Muna 2010, akakunda mutambi wepasi rose Magnus Carlsen mumutambo weGeorgia neNorway. Muna 2016
, akahwina menduru yegoridhe yemunhu kuita kwakanakisa, kwaisanganisira kukunda vaimbove shasha dzenyika Ruslan Ponomariov naVeselin Topalov.