The global political-economic order is in flux. It is unclear what will replace the U.S-centric post-1990s “liberal” order and whether competition with China can be managed successfully. We advance a set of principles for the construction of a stable and broadly beneficial world order that does not require significant commonality in interests and values among states. In particular, we propose a “meta-regime” that presumes only minimal initial agreement among the major powers. The meta-regime is a device for structuring a conversation around the relevant issues, and facilitating either agreement or accommodation, as the case may be. It is agnostic and open-ended about the specific rules to be applied in particular issue-areas. Even where agreement proves impossible, as will often be the case, the objective of the meta-regime is to enhance communication among the parties and clarify the reasons for the disagreement, and to incentivize states to avoid inflicting unnecessary harm on others as they act autonomously. Participating in this meta-regime would impose few constraints on states that want to maintain their freedom of action. Yet in favorable circumstances, it could facilitate significant cooperation. It could also encourage increased cooperation over time even among adversaries, as participation in the meta-regime builds trust between them. We illustrate the practical implications of the meta-regime by applying it to U.S.-China digital competition, U.S.-Iran relations, human rights, and global migration.