ExxonMobil Chairman Rex Tillerson, shown here in 2015, urged shareholders to reject the resolutions, arguing that not enough is known about the impact of climate change. Evan Vucci/AP hide caption toggle caption Evan Vucci/AP The Two-Way Exxon Mobil, Chevron Shareholders Reject Resolutions Aimed At Battling Climate Change May 25, 2016 But shareholders at Exxon Mobil approved one resolution that could make it easier to one day nominate an environmentalist to the board.