U.S. Inflation Reduction Act as a federal response to energy revolution is a policy game to input least and output most for both legislators and interest groups, resulting in an equilibrium price for demanders of policies to exchange for effective supports of suppliers with re-election resources. The intention of legislators to supply effective supports is subject to ideology preferences, constituent interests and opportunity costs, while the intention of interest groups to purchase their favorite policies is subject to cost-efficient prices of re-election resources. Such an equilibrium theory for examining the Inflation Reduction Act market is able to reflect the U.S. partisan split of ideologies in environment topics, energy revolution in chief sectors of 50 states, U.S. legislative process to pass a bill, but also a huge step to achieve U.S. emission goals or to meet the temperature targets in 2030 that are set in in the Paris Agreement in 2016.