Framing scholarship on policy issues has primarily focused on how competitive message environments alter framing effects or how individual differences moderate the impact of frames. This study combines both of these focal areas by examining how individual open‐/closed‐mindedness moderates framing effects about climate change within competitive and noncompetitive framing contexts. Contrary to previous scholarship, our experimental study finds effects on attitudes in the competitive framing condition, but not the noncompetitive framing condition. The framing effects found in the competitive condition were contingent upon individual differences in open‐/closed‐mindedness. Analysis shows that individual open‐/closed‐mindedness influences framing effects in part by altering the effects of frame exposure on the perceived costs and benefits of government climate policies.