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To motivate public participation in climate change mitigation, both "carrot" policies that create positive incentives for mitigated carbon and "stick" policies that create negative incentives for emitted carbon have been widely applied. Given the joint deployment of these measures, a key question is whether they are compatible with each other. Focusing on the Low-Carbon Reward Scheme (LCRS) and carbon taxes, two prominent proposals on China's climate policy agenda, this study evaluates how one incentive policy affects public support for the other. The results of a large survey experiment with Hangzhou residents indicate a two-way crowding-out effect, wherein introducing the LCRS diminished support for the tax, albeit primarily among LCRS proponents, and introducing the tax reduced support for the LCRS. Aligning with the proposed account, crowding out was driven by a decrease in policy effectiveness and fairness perceptions. These findings reveal a contradictory relationship between carrot and stick policies at the citizen level and illuminate the underlying mechanism. • Both carrot and stick policies are applied to motivate climate mitigation behaviors. • We identify a two-way crowding-out effect between these policies in public opinion. • Introducing a stick (carbon tax) reduces support for a carrot (low-carbon reward). • Introducing a carrot reduces support for a stick among people favoring the carrot. • Crowding out is driven by weakened policy effectiveness and fairness perceptions. [ABSTRACT FROM AUTHOR]